Screw Calculator (How Many Screws for Drywall, Plywood and Decking)

Choose a method (sheets, long pieces or area), then enter the sizes, counts, framing spacing and screw spacing. The waste factor, box count, price and screws on hand can be left blank.

Units

Method

Sheet size (width × length, mm)

How to give the amount

Number of sheets Area to cover

Number of sheets

Framing spacing (mm)

Framing direction

Edge spacing (mm, optional)

Field spacing (mm, optional)

Waste factor (%, optional)

Screws on hand (optional)

Screws per box (optional)

Price ($, optional)

Enter all lengths in mm and areas in m². Blank fields use 200 mm for edge spacing, 300 mm for field spacing, 10% for waste and 1 screw per spot.

Result and figure

Enter the sheet size and number of sheets, the framing spacing and the screw spacing on the left and press "Calculate". The screw count and a drawing of the screws on one sheet will appear here.

[ CLOSE ]

What you can do on this page
What is this calculation used for?
How to Use
Formulas and figures
Symbols and terms
- Symbols
- Terms
Good to know before you start
How to calculate it in Excel
How to calculate it in Google Sheets
How to calculate it in Python
How to write it in LaTeX and other math languages (copy and paste)
How to have ChatGPT do the calculation
DataChef Features
Related Features
NumberChef Calculators List

What you can do on this page

Enter the size of one sheet of drywall, plywood or subfloor (such as 4×8 ft), the number of sheets (or the area to cover), the framing spacing (such as 16 in on center) and the screw spacing. You get the screws per sheet and the total right away
Screws are counted separately for the edges of the sheet and for the field (the framing inside the sheet), so you can type in a spec such as "8 in at edges, 12 in in the field" exactly as written
For long pieces such as furring strips, joists and deck boards, it uses (length ÷ spacing + 1) × screws per spot × pieces. For a rough estimate, you can also use area × screws per square foot
It adds a waste factor (for screws that are dropped, stripped or broken), works out boxes from the box count, and shows the cost when you enter a price. Enter the screws you have on hand to find how many more sheets (pieces or square feet) they will cover
A drawing of one sheet with the screws as dots (edge and field in different colors) shows where each counted screw goes. A plain-language explanation of the formulas and copy-and-paste formulas for Excel, Google Sheets and Python are also on this page

This page estimates how many screws you need when you drive them at the given spacing. The spacing itself comes from the manufacturer's installation instructions (for example the drywall maker's) or, for structural sheathing and subfloors, from the fastening schedule in the building code or the plans. Enter those values (this page does not decide them). For screw length and pilot holes, see the "Pilot Hole and Screw Length Calculator" page. For all the materials of a deck, see the "Deck Materials Calculator" page.

What is this calculation used for?

Hanging drywall in a 12×12 ft bedroom

The four walls of a 12×12 ft room with an 8 ft ceiling are $4 \times 12 \times 8 = 384$ ft². Taking out a door and a window leaves about 350 ft², which needs $\lceil 350 \div 32 \rceil = 11$ sheets of 4×8 ft drywall. Hung horizontally (the usual US way) on studs 16 in on center, with 8 in at the edges and 12 in in the field, each sheet takes 51 screws. That is 561 screws for 11 sheets, or 618 with 10% waste, so one box of 1,000 drywall screws is enough.
Working out the count before you go to the store keeps you from running out of screws halfway through the job. Enter the spacing from your drywall's installation instructions.

Fastening a plywood subfloor to floor joists

A 4×8 ft plywood subfloor is laid across joists 16 in on center, so the joists run along the short side of each sheet. $\lfloor 96 \div 16 \rfloor + 1 = 7$ joists cross each sheet, and the 5 in the middle also get screws. At 6 in on the edges and 12 in in the field, that is 48 edge screws and 15 field screws, 63 per sheet.
Floors carry weight with every step, so they are fastened more closely than walls. When the plans or the building code give a fastening schedule (such as 6 in at the edges and 12 in in the field), enter those values. The schedule itself comes from the plans and the code.

Material takeoffs for contractors and carpenters

In a material takeoff, you multiply the number of sheets by the screws per sheet to order screws. The screws per sheet come from edge screws plus field screws, and if the spec changes you only swap the spacing in the same formula.
Estimates sometimes work by area instead, such as "drywall screws at 1.56 per ft² × 1,200 ft² = 1,872". That per-square-foot figure is the screws per sheet divided by the area of one sheet.

Screws for deck boards and fence boards

Deck boards get 2 screws at each joist. A 16 ft (192 in) board on joists 16 in on center takes $(12 + 1) \times 2 = 26$ screws, and 14 boards take 364. Fence boards screwed to rails or posts follow the same fencepost rule.
Outdoors, use corrosion-resistant deck screws such as coated or stainless steel, and choose the length for the board thickness (see the "Pilot Hole and Screw Length Calculator" page). The "Deck Materials Calculator" page finds all the materials for a deck at once.

Estimating ceiling drywall screws from the joist spacing

Ceilings are screwed overhead, so running out of screws halfway is a real hassle. With ceiling joists 16 in on center and 4×8 ft drywall hung across the joists, each sheet takes 51 screws (8 in at the edges, 12 in in the field). A 12×12 ft ceiling (144 ft², 5 sheets) takes 255 screws, or 281 with 10% waste.
Ceiling screws are often spaced more closely than wall screws (no more than 12 in apart is common), so check the instructions before you enter the values.

Formulas and figures

Edge screws (per sheet)

Figure

Standard notation (the usual math form)

$E$ $=$ $2 \times$ $($ $\lceil$ $l$ $\div$ $p_e$ $\rceil$ $+$ $\lceil$ $w$ $\div$ $p_e$ $\rceil$ $)$

In words (symbols replaced with words)

⑤ $E$: edge screws $=$ $2 \times$ $($ ④ $\lceil$ ① $l$: sheet length $\div$ ③ $p_e$: edge spacing $\rceil$ $+$ $\lceil$ ② $w$: sheet width $\div$ $p_e$: edge spacing $\rceil$ $)$

The formula in words

① Divide the $l$: sheet length and

② the $w$: sheet width each by the

③ $p_e$: edge spacing

④ Round each result up (the symbol $\lceil\ \rceil$ stands for "round up"), add the length side and the width side, and double it for all four edges to get the

⑤ $E$: edge screws

Quick example

For a 48×96 in (4×8 ft) sheet of drywall with screws every 8 in along the edges, the edge screws per sheet are

edge screws $E$ $=$ $2 \times$ $($ $\lceil$ length (96 in) $\div$ spacing (8 in) $\rceil$ $+$ $\lceil$ width (48 in) $\div$ spacing (8 in) $\rceil$ $)$

$96 \div 8 = 12 \quad \rightarrow \quad \lceil 12 \rceil = 12$

$48 \div 8 = 6 \quad \rightarrow \quad \lceil 6 \rceil = 6$

$2 \times (12 + 6) = 36$

Key idea

Screws that go all the way around the edges of a sheet are a fencepost problem in a closed loop. Each edge is split into (length ÷ spacing) spaces, rounded up. A straight row has one more point than it has spaces, but in a loop of four edges each corner point is shared with the next edge, so the number of points equals the total number of spaces. A screw goes at every corner, so round up each edge first and then add (dividing the whole perimeter at once would get the corners wrong). If a length does not divide evenly, such as $96 \div 7 \approx 13.7$, rounding up gives 14 spaces, so the screws end up a little closer than 7 in. This page rounds each (length ÷ spacing) to one decimal place before rounding up or down. Metric framing such as 455 mm or 303 mm is 910 mm split into 2 or 3, so a division like 910 ÷ 303 = 3.003… leaves a tiny remainder. The rounding keeps that remainder from counting as an extra space.

Field screws (per sheet)

Figure

Standard notation (the usual math form)

$m$ $=$ $\lfloor$ $a$ $\div$ $p$ $\rfloor$ $- 1$

$F$ $=$ $m$ $\times$ $($ $\lceil$ $b$ $\div$ $p_m$ $\rceil$ $- 1$ $)$

In words (symbols replaced with words)

③ $m$: framing members in the field $=$ $\lfloor$ ① $a$: side across the framing $\div$ ② $p$: framing spacing $\rfloor$ $- 1$

⑥ $F$: field screws $=$ $m$: framing members in the field $\times$ $($ $\lceil$ ④ $b$: side along the framing $\div$ ⑤ $p_m$: field spacing $\rceil$ $- 1$ $)$

The formula in words

① Divide the $a$: side across the framing by the

② $p$: framing spacing , round down (the symbol $\lfloor\ \rfloor$ stands for "round down"), and subtract 1 for the framing at the two ends. This gives the

③ $m$: framing members in the field (there is framing at both ends of the sheet too, but those screws were already counted as edge screws).

④ Next, divide the $b$: side along the framing by the

⑤ $p_m$: field spacing , round up, and subtract 1 for the end points (they overlap the edge screws). That is the screws per framing member. Multiply it by $m$ to get the

⑥ $F$: field screws

Quick example

For a 48×96 in sheet of drywall hung on studs 16 in on center (studs parallel to the long side), with screws every 12 in in the field, the field screws per sheet are

framing in the field $m$ $=$ $\lfloor$ width (48 in) $\div$ spacing (16 in) $\rfloor$ $- 1$

field screws $F$ $=$ framing (2) $\times$ $($ $\lceil$ length (96 in) $\div$ spacing (12 in) $\rceil$ $- 1$ $)$

$\lfloor 48 \div 16 \rfloor - 1 = 3 - 1 = 2$

$96 \div 12 = 8 \quad \rightarrow \quad \lceil 8 \rceil - 1 = 8 - 1 = 7$

$2 \times 7 = 14$

Key idea

The framing members that cross a sheet number the whole-number part of (width ÷ spacing) + 1, counting both ends (a fencepost problem). In the example, $\lfloor 48 \div 16 \rfloor + 1 = 4$ studs cross the sheet. The two at the ends sit right under the edges, and their screws were already counted as edge screws, so only the 2 in the middle count as field framing. If the framing spacing is as wide as the sheet or wider, there is no field framing ($m = 0$) and no field screws. The screws on one framing member follow the same idea. (length ÷ spacing) rounded up gives the spaces, and the points are spaces + 1. But the two end points sit on the edges (already counted), so subtract 2, which leaves spaces − 1. For drywall hung vertically on a wall, the studs run along the long side, so $a$ is the width and $b$ is the length. For drywall hung horizontally, or plywood laid across floor joists, the framing runs along the short side, so $a$ is the length and $b$ is the width (switch this with "Framing direction" in the calculator).

Screws per sheet and total screws

Standard notation (the usual math form)

$N_1$ $=$ $E$ $+$ $F$

$N$ $=$ $N_1$ $\times$ $S$

In words (symbols replaced with words)

③ $N_1$: screws per sheet $=$ ① $E$: edge screws $+$ ② $F$: field screws

⑤ $N$: screws needed $=$ $N_1$: screws per sheet $\times$ ④ $S$: number of sheets

The formula in words

① Add the $E$: edge screws and the

② $F$: field screws to get the

③ $N_1$: screws per sheet . Multiply it by the

④ $S$: number of sheets to get the

⑤ $N$: screws needed

Quick example

For 10 sheets of the drywall above (36 edge screws and 14 field screws each), the screws needed are

per sheet $N_1$ $=$ edge (36) $+$ field (14)

screws needed $N$ $=$ per sheet (50) $\times$ sheets (10)

$36 + 14 = 50$

$50 \times 10 = 500$

Key idea

If you only know the area to cover $A$ (ft²) and not the number of sheets, divide by the area of one sheet $w \times l$ (in inches, so divide by 144 to get ft²) and round up: $S = \lceil A \div (w \times l \div 144) \rceil$. A 48×96 in sheet is 32 ft², so 350 ft² of wall takes $350 \div 32 \approx 10.9$, rounded up to 11 sheets. Screws per sheet divided by the area of one sheet gives a guide for screws per square foot (50 screws ÷ 32 ft² ≈ 1.56 per ft²). When the instructions or an estimate give screws per square foot, you can use that value directly in "Area" mode.

Screws with waste and boxes

Standard notation (the usual math form)

$N^{\prime}$ $=$ $\lceil$ $N$ $\times$ $($ $1 +$ $\dfrac{r}{100}$ $)$ $\rceil$

$B$ $=$ $\lceil$ $N^{\prime}$ $\div$ $k$ $\rceil$

In words (symbols replaced with words)

③ $N^{\prime}$: screws with waste $=$ $\lceil$ ① $N$: screws needed $\times$ $($ $1 +$ ② $r$: waste factor (%) $\div$ 100 $)$ $\rceil$

⑤ $B$: boxes needed $=$ $\lceil$ $N^{\prime}$: screws with waste $\div$ ④ $k$: screws per box $\rceil$

The formula in words

① Multiply the $N$: screws needed by

② 1 + $r$: waste factor ÷ 100 and round up to get the

③ $N^{\prime}$: screws with waste . Divide it by the

④ $k$: screws per box and round up to get the

⑤ $B$: boxes needed

Quick example

With 500 screws needed, a 10% waste factor and boxes of 500, the screws with waste and the boxes are

with waste $N^{\prime}$ $=$ $\lceil$ screws needed (500) $\times$ 1 + 10 ÷ 100 $\rceil$

boxes $B$ $=$ $\lceil$ with waste (550) $\div$ per box (500) $\rceil$

$500 \times 1.1 = 550$

$550 \div 500 = 1.1 \quad \rightarrow \quad \lceil 1.1 \rceil = 2$

Key idea

The exact count from the formula is never quite enough. Screws miss and have to be redriven, heads strip, screws fall and get lost, and some snap in hard wood. A margin of 5 to 10% is typical, and this page uses 10% by default. Divide the screws with waste by the box count and round up to get the boxes. In the example, 2 boxes (1,000 screws) leave 450 extra, but 1 box is not enough. Box counts differ by product (boxes of 100, 500 or 1,000, and screws sold by the pound). Enter the count printed on the box.

Screws for long pieces (furring strips, deck boards)

Figure

Standard notation (the usual math form)

$M$ $=$ $($ $\lceil$ $\ell$ $\div$ $p$ $\rceil$ $+ 1$ $)$ $\times$ $c$ $\times$ $n$

In words (symbols replaced with words)

⑤ $M$: screws for long pieces $=$ $($ $\lceil$ ① $\ell$: length of one piece $\div$ ② $p$: screw spacing $\rceil$ $+ 1$ $)$ $\times$ ③ $c$: screws per spot $\times$ ④ $n$: number of pieces

The formula in words

① Divide the $\ell$: length of one piece by the

② $p$: screw spacing , round up, and add 1 for the end. This is the number of screw spots on one piece (the fencepost rule). Multiply it by the

③ $c$: screws per spot and the

④ $n$: number of pieces to get the

⑤ $M$: screws for long pieces

Quick example

For 14 deck boards 16 ft (192 in) long, fastened to joists 16 in on center with 2 screws at each joist, the screws needed are

screws $M$ $=$ $($ $\lceil$ length (192 in) $\div$ spacing (16 in) $\rceil$ $+ 1$ $)$ $\times$ per spot (2) $\times$ pieces (14)

$192 \div 16 = 12 \quad \rightarrow \quad 12 + 1 = 13$

$13 \times 2 \times 14 = 364$

Key idea

When you fasten a straight piece at a set spacing, you also fasten both ends, so the number of screw spots is spaces + 1 (the same fencepost rule as posts along a road). For deck boards on joists, the joist spacing is the screw spacing. With 2 screws across the width of the board at each joist, set screws per spot to 2. When the length does not divide evenly by the spacing (for example $192 \div 18 \approx 10.7$), round up to add one more space, so the screws sit a little closer. Tiny remainders from metric nominal sizes, such as 1820 mm ÷ 303 mm ≈ 6.007, are handled by rounding to one decimal place first, the same as in the edge formula, so they count as 6 spaces (7 spots).

Estimate from the area

Standard notation (the usual math form)

In words (symbols replaced with words)

$N$ $=$ $\lceil$ $A$ $\times$ $d$ $\rceil$

③ $N$: screws needed $=$ $\lceil$ ① $A$: area to cover $\times$ ② $d$: screws per ft² $\rceil$

The formula in words

① Multiply the $A$: area to cover by the

② $d$: screws per ft² and round up to get the

③ $N$: screws needed

Quick example

For 480 ft² of ceiling and walls together, at a guide of 1.56 screws per ft², the screws needed are

screws needed $N$ $=$ $\lceil$ area (480 ft²) $\times$ per ft² (1.56) $\rceil$

$480 \times 1.56 = 748.8 \quad \rightarrow \quad \lceil 748.8 \rceil = 749$

Key idea

When you are still estimating and have not laid out the sheets, multiplying the area by screws per square foot is a handy shortcut. Take the screws per square foot from the instructions or an estimate, or work it out in "Sheets" mode as screws per sheet ÷ area of one sheet. Drywall on studs 16 in on center with 8 in at the edges and 12 in in the field is 50 per 4×8 ft sheet, about 1.56 per ft². A plywood subfloor on joists 16 in on center, nailed 6 in at the edges and 12 in in the field, is 63 per sheet, about 1.97 per ft². The value changes a lot with the spacing, so do not reuse one guide number for every job. Work it out again for your conditions.

Estimated cost

Standard notation (the usual math form)

In words (symbols replaced with words)

$T$ $=$ $u$ $\times$ $Q$

③ $T$: estimated cost $=$ ① $u$: unit price $\times$ ② $Q$: quantity

The formula in words

① Multiply the $u$: unit price (per box or per screw) by the

② $Q$: quantity (boxes, or screws with waste, to match the price) to get the

③ $T$: estimated cost

Quick example

Buying 2 boxes of screws at $15 a box costs

estimated cost $T$ $=$ unit price ($15) $\times$ quantity (2 boxes)

$15 \times 2 = 30$

Key idea

The key is to match the units of the price and the quantity. For a price per box, multiply by the boxes $B$. For a price per screw, multiply by the screws with waste $N^{\prime}$. For screws sold by the pound, check how many screws are in a pound and turn the price into a price per screw first. This is the cost of the screws only. Sheets, framing, tools and labor are extra.

Sheets you can cover with the screws on hand (working backward)

Standard notation (the usual math form)

In words (symbols replaced with words)

$S_H$ $=$ $\lfloor$ $H$ $\div$ $N_1$ $\rfloor$

③ $S_H$: sheets you can cover $=$ $\lfloor$ ① $H$: screws on hand $\div$ ② $N_1$: screws per sheet $\rfloor$

The formula in words

① Divide the $H$: screws on hand by the

② $N_1$: screws per sheet and round down to get the

③ $S_H$: sheets you can cover

Quick example

With 480 screws on hand and 50 screws per sheet, the sheets you can hang are

sheets you can cover $S_H$ $=$ $\lfloor$ on hand (480) $\div$ per sheet (50) $\rfloor$

$480 \div 50 = 9.6 \quad \rightarrow \quad \lfloor 9.6 \rfloor = 9$

Key idea

"How many more sheets can I hang?" is a division rounded down. You run out partway through the 10th sheet, so 9 sheets is how many you can finish (with $480 - 50 \times 9 = 30$ screws left over). In "Long pieces" mode, divide by the screws per piece $M_1$ to get a number of pieces. In "Area" mode, divide by the screws per square foot $d$ to get an area. This figure does not include waste, so in practice you may run out a little sooner.

Screws per sheet are counted with the fencepost rule as edge screws (the spaces on each edge, rounded up, added together) plus field screws (framing members in the field × screws per member). Multiply by the number of sheets for the total, then add a waste factor (5 to 10%) and work out the boxes. Take the screw spacing from the installation instructions, the plans or the building code.

Symbols and terms

Symbols

$w$	w	The width of one sheet (the shorter side, in inches). From "width". For a 4×8 ft sheet it is 48 in.
$l$	l	The length of one sheet (the longer side, in inches). From "length". For a 4×8 ft sheet it is 96 in.
$p_e$	p sub e	The edge spacing (the distance between screws along the edges of the sheet, in inches). The $p$ for pitch (spacing) with an $e$ for edge.
$p_m$	p sub m	The field spacing (the distance between screws on the framing inside the sheet, in inches). The $m$ is for middle.
$p$	p	The framing spacing ("Sheets" mode) or the screw spacing ("Long pieces" mode). Both are a set spacing, from "pitch".
$a,\ b$	a, b	The two sides of the sheet, named by how they sit against the framing. $a$ is the side across the framing (the direction the framing members are spread along), and $b$ is the side along the framing. For drywall hung vertically, $a = w$ and $b = l$. For drywall hung horizontally or a plywood subfloor, $a = l$ and $b = w$.
$m$	m	The framing members in the field. $m = \lfloor a \div p \rfloor - 1$, not counting the framing at the two ends.
$E$	E	The edge screws (per sheet). From "edge". $E = 2(\lceil l \div p_e \rceil + \lceil w \div p_e \rceil)$
$F$	F	The field screws (per sheet). From "field", the inner part of the sheet. $F = m(\lceil b \div p_m \rceil - 1)$
$N_1$	N sub 1	The screws per sheet. $N$ for number, with 1 for "one sheet". $N_1 = E + F$.
$S$	S	The number of sheets. From "sheet". From an area, it is area ÷ area of one sheet, rounded up.
$N$	N	The screws needed (net). $N = N_1 \times S$ in "Sheets" mode and $N = \lceil A \times d \rceil$ in "Area" mode.
$r$	r	The waste factor (%). From "rate". For 10%, $r = 10$, and the count is multiplied by $1 + 10 \div 100 = 1.1$.
$N^{\prime}$	N prime	The screws with waste. It is a slightly changed version of $N$, so it gets a prime mark $\prime$. $N^{\prime} = \lceil N(1 + r \div 100) \rceil$.
$k$	k	The number of screws in one box.
$B$	B	The boxes needed. From "box". $B = \lceil N^{\prime} \div k \rceil$
$\ell$	script l	The length of one long piece (in inches). Written as a script l to tell it apart from the sheet length $l$.
$c$	c	The screws per spot (screws placed side by side across the board at one spot). From "column". With 2 screws at each joist, $c = 2$.
$n$	lowercase n	The number of long pieces. From "number", in lowercase to tell it apart from the total $N$.
$M$	capital M	The screws for the long pieces. $M = (\lceil \ell \div p \rceil + 1) \times c \times n$. The screws per piece are $M_1 = (\lceil \ell \div p \rceil + 1) \times c$.
$A$	capital A	The area to cover (ft²). From "area".
$d$	d	The screws per square foot. From "density".
$u$	u	The price of the screws (per box or per screw). From "unit price".
$Q$	Q	The quantity that matches the price (boxes, or screws with waste). From "quantity".
$T$	T	The estimated cost (screws only). From "total".
$H$	H	The screws on hand. From "have".
$S_H$	S sub H	The sheets you can cover with the screws on hand. $S_H = \lfloor H \div N_1 \rfloor$
$\lceil x \rceil$	ceiling of x	The ceiling function: round up to a whole number (for example $\lceil 9.1 \rceil = 10$ and $\lceil 8 \rceil = 8$). Spaces, screws and boxes are found with it.
$\lfloor x \rfloor$	floor of x	The floor function: round down to a whole number (for example $\lfloor 2.68 \rfloor = 2$ and $\lfloor 9.6 \rfloor = 9$). The framing members that cross a sheet and the sheets you can cover with the screws on hand are found with it.

Terms

sheet goods	Flat panels such as drywall, plywood and OSB that are fastened to framing over a whole surface. They are used on walls, ceilings and floors. This page counts the screws one sheet at a time.
drywall	A panel with a gypsum core covered with paper on both faces, also called gypsum board or sheetrock. It is the most common material for interior walls and ceilings. The standard US size is 4×8 ft, with 4×10 and 4×12 ft sheets for fewer seams. The screw spacing is given in the manufacturer's instructions.
framing	The members that the sheets are fastened to. Studs in walls, joists in floors, and joists or furring strips in ceilings. Screws only hold where there is framing, so the framing spacing decides the number of field screws.
stud	A vertical framing member in a wall. In US wood framing, studs are usually set 16 in on center (sometimes 24 in), and drywall and sheathing are fastened to them.
joist	A horizontal framing member that holds up a floor or ceiling. Joists are usually set 16 in on center, and subfloor plywood is laid across them.
furring strip	A thin strip of wood (often 1×3 or 1×4) fastened across studs or masonry at a set spacing. It gives a flat base for siding or interior panels.
ceiling joist	The framing above a ceiling that ceiling drywall is screwed to, usually 16 or 24 in on center. Furring strips are sometimes added across it.
spacing	The distance between screws or nails, measured center to center. It is often written like "8 in at edges, 12 in in the field", with different values for the edges and the field.
edge screws	The screws along the four edges of a sheet. Sheet edges tend to lift, so edge screws are placed closer together than field screws. This page counts them as a closed loop around the sheet.
field screws	The screws in the inner part of the sheet, the "field". They go into the framing that runs under the middle of the sheet, with wider spacing than the edge screws.
fencepost problem	The rule that items in a straight row number "spaces + 1", because there is one at each end. In a closed loop around the edges, the first and last points are the same, so the number of items equals the number of spaces.
waste factor	The extra percentage you buy for screws that miss, get lost or break. 5 to 10% is typical for screws, and this page uses 10% by default.
nominal size	A rounded size used as a name. Metric framing spaced 455 mm or 303 mm is really 910 mm split into 2 or 3 (455 mm and 303.33 mm), so the division leaves a tiny remainder. This page rounds each quotient to one decimal place before rounding up or down. (In lumber, a 2×4 is also a nominal size. It really measures 1-1/2 × 3-1/2 in.)
on center	Spacing measured from the center of one framing member to the center of the next, written "o.c." US framing uses 16 in or 24 in on center so that the edges of 48 in wide and 96 in long sheets always land on framing.
deck screw	A coarse-thread wood screw with a corrosion-resistant coating or made of stainless steel, for outdoor work such as decks and fences. For screw length and pilot holes, see the "Pilot Hole and Screw Length Calculator" page.
drywall screw	A screw made for fastening drywall. Its bugle-shaped head is less likely to tear the paper face. Coarse-thread screws are for wood studs and fine-thread screws are for steel studs. They are sold in boxes by count or by the pound.
installation instructions	The maker's or an industry group's directions for how to install a material. They give the screw spacing, type and length, so the values you enter on this page come from here.
fastening schedule	A table in the building code or the plans that gives the type of nail or screw and the spacing for each part of a building (for example, 6 in at panel edges and 12 in in the field for wood structural panels in IRC Table R602.3(1)). It affects the strength of walls and floors, so follow it exactly. This page only counts screws from the spacing. It does not set the spacing.
round up	If there is any decimal part, go up to the next whole number. Spaces, screws and boxes are always rounded up, because running short is a problem.
round down	Drop the decimal part to get a whole number. Used for the framing members that cross a sheet (framing is assumed at both ends) and for the sheets you can cover with the screws on hand.

Good to know before you start

Here is what helps to understand before you start, so that you can use the calculations on this page with a clear understanding.

The fencepost problem (Grade 3 to 4)	When you plant trees at equal spacing along a straight road, the number of trees is "spaces + 1" When the row goes all the way around, like trees around a pond, the number of trees equals the number of spaces
Rounding (Grade 4)	The difference between rounding up, rounding down and rounding to the nearest Being able to explain in your own words why spaces and screws are rounded up and why the framing members are rounded down
Dividing decimals (Grade 5 to 6)	The idea behind a division such as $96 \div 7$ or $48 \div 16$ (a calculator is fine for the arithmetic)
Percents (Grade 6)	That "10% more" can be calculated as "× 1.1"
Area of a rectangle and unit conversion (Grade 4 to 6)	That the area of one sheet is width × length That an area from two sizes in inches is turned into square feet by dividing by $12 \times 12 = 144$

How to calculate it in Excel

Copy the whole table below and paste it into cell A1 in Excel. It works as is.

Table for the edge screws (per sheet)

Sheet length l (in)	96
Sheet width w (in)	48
Edge spacing pe (in)	8
Edge screws E	=2*(ROUNDUP(ROUND(B1/B3,1),0)+ROUNDUP(ROUND(B2/B3,1),0))

Table for the field screws (per sheet)

Side across the framing a (in)	48
Framing spacing p (in)	16
Side along the framing b (in)	96
Field spacing pm (in)	12
Framing members in the field m	=MAX(0,ROUNDDOWN(ROUND(B1/B2,1),0)-1)
Field screws F	=B5*MAX(0,ROUNDUP(ROUND(B3/B4,1),0)-1)

Table for the screws per sheet and the total

Edge screws E	36
Field screws F	14
Number of sheets S	10
Screws per sheet N1	=B1+B2
Screws needed N	=B4*B3

Table for the screws with waste and the boxes

Screws needed N	500
Waste factor r (%)	10
Screws per box k	500
Screws with waste N'	=ROUNDUP(B1*(100+B2)/100,0)
Boxes needed B	=ROUNDUP(B4/B3,0)

Table for the screws for long pieces

Length of one piece ℓ (in)	192
Screw spacing p (in)	16
Screws per spot c	2
Number of pieces n	14
Screws for long pieces M	=(ROUNDUP(ROUND(B1/B2,1),0)+1)B3B4

Table for the estimate from the area

Area to cover A (ft²)	480
Screws per ft² d	1.56
Screws needed N	=ROUNDUP(B1*B2,0)

Table for the estimated cost

Unit price u ($)	15
Quantity Q (boxes or screws)	2
Estimated cost T ($)	=B1*B2

Table for the sheets you can cover with the screws on hand

Screws on hand H	480
Screws per sheet N1	50
Sheets you can cover	=ROUNDDOWN(B1/B2,0)

After you paste, the upper rows of column B are the inputs and the last row is the calculated result.
ROUNDUP(value, 0) rounds up (the ⌈ ⌉ in the formulas) and ROUNDDOWN(value, 0) rounds down (the ⌊ ⌋). Where a length is divided by a spacing, ROUND(value, 1) first rounds to one decimal place before rounding up or down (to absorb tiny remainders from nominal sizes such as 910 ÷ 303).
B4 in the 1st table is 36, B6 in the 2nd table is 14, B5 in the 3rd table is 500, the 4th table gives 550 screws and 2 boxes, the 5th table gives 364, the 6th table gives 749, the 7th table gives $30 and the 8th table gives 9 sheets. Just replace the numbers in column B with your own.

How to calculate it in Google Sheets

Copy the whole table below and paste it into cell A1 in Google Sheets. It works as is.

Table for the edge screws (per sheet)

Sheet length l (in)	96
Sheet width w (in)	48
Edge spacing pe (in)	8
Edge screws E	=2*(ROUNDUP(ROUND(B1/B3,1),0)+ROUNDUP(ROUND(B2/B3,1),0))

Table for the field screws (per sheet)

Side across the framing a (in)	48
Framing spacing p (in)	16
Side along the framing b (in)	96
Field spacing pm (in)	12
Framing members in the field m	=MAX(0,ROUNDDOWN(ROUND(B1/B2,1),0)-1)
Field screws F	=B5*MAX(0,ROUNDUP(ROUND(B3/B4,1),0)-1)

Table for the screws per sheet and the total

Edge screws E	36
Field screws F	14
Number of sheets S	10
Screws per sheet N1	=B1+B2
Screws needed N	=B4*B3

Table for the screws with waste and the boxes

Screws needed N	500
Waste factor r (%)	10
Screws per box k	500
Screws with waste N'	=ROUNDUP(B1*(100+B2)/100,0)
Boxes needed B	=ROUNDUP(B4/B3,0)

Table for the screws for long pieces

Length of one piece ℓ (in)	192
Screw spacing p (in)	16
Screws per spot c	2
Number of pieces n	14
Screws for long pieces M	=(ROUNDUP(ROUND(B1/B2,1),0)+1)B3B4

Table for the estimate from the area

Area to cover A (ft²)	480
Screws per ft² d	1.56
Screws needed N	=ROUNDUP(B1*B2,0)

Table for the estimated cost

Unit price u ($)	15
Quantity Q (boxes or screws)	2
Estimated cost T ($)	=B1*B2

Table for the sheets you can cover with the screws on hand

Screws on hand H	480
Screws per sheet N1	50
Sheets you can cover	=ROUNDDOWN(B1/B2,0)

The same formulas as in Excel work as they are (ROUNDUP, ROUNDDOWN, ROUND and MAX have the same names). Copy the whole table, paste it into cell A1, and replace the numbers in column B with your own.

How to calculate it in Python

import math
from decimal import Decimal, ROUND_HALF_UP

sheet_w_in = 48         # width of one sheet (in)
sheet_l_in = 96         # length of one sheet (in)
sheets = 10             # number of sheets
stud_pitch_in = 16      # framing spacing, on center (in)
stud_along_long = True  # True if the framing runs along the long side (drywall hung vertically), False if along the short side (subfloor, horizontal hang)
edge_pitch_in = 8       # edge spacing (in)
field_pitch_in = 12     # field spacing (in)
loss_percent = 10       # waste factor (%)
screws_per_box = 500    # screws per box
price_per_box = 15      # price per box ($)
screws_on_hand = 480    # screws on hand

def pitch_quotient(length, pitch):
    # round length ÷ spacing to one decimal place (absorbs tiny remainders from nominal sizes such as 910 ÷ 303)
    return float((Decimal(length) / Decimal(pitch)).quantize(Decimal("0.1"), rounding=ROUND_HALF_UP))

# edge: spaces on each edge (rounded up) for all four edges (a closed loop, so points = spaces)
edge_screws = 2 * (math.ceil(pitch_quotient(sheet_l_in, edge_pitch_in)) + math.ceil(pitch_quotient(sheet_w_in, edge_pitch_in)))
# field: framing members crossing the sheet (ends included) minus the 2 at the ends, then (spaces - 1) screws on each
a_in = sheet_w_in if stud_along_long else sheet_l_in   # side across the framing
b_in = sheet_l_in if stud_along_long else sheet_w_in   # side along the framing
mid_studs = max(0, math.floor(pitch_quotient(a_in, stud_pitch_in)) + 1 - 2)
field_screws = mid_studs * max(0, math.ceil(pitch_quotient(b_in, field_pitch_in)) - 1)

screws_per_sheet = edge_screws + field_screws                 # per sheet
screws_total = screws_per_sheet * sheets                      # total (net)
screws_with_loss = math.ceil(screws_total * (100 + loss_percent) / 100)   # with waste (multiply as whole numbers, then divide, so a float error in x 1.1 does not add a screw)
boxes = math.ceil(screws_with_loss / screws_per_box)         # boxes
cost = boxes * price_per_box                                 # estimated cost ($)
sheets_on_hand = screws_on_hand // screws_per_sheet          # sheets you can cover with the screws on hand (rounded down)

print(f"Edge: {edge_screws} screws, field: {field_screws} screws, per sheet: {screws_per_sheet} screws")
print(f"Screws needed: {screws_total} ({screws_with_loss} with waste)")
print(f"Boxes needed: {boxes}, estimated cost: ${cost:,.2f}")
print(f"Sheets you can cover with {screws_on_hand} screws on hand: {sheets_on_hand}")

It runs with the standard library only. math.ceil() rounds up (the ⌈ ⌉ in the formulas), and math.floor() and // round down (the ⌊ ⌋). pitch_quotient() rounds (length ÷ spacing) to one decimal place, which absorbs tiny remainders from nominal sizes. Replace the sizes, counts and spacing at the top with your own numbers and run it.

How to write it in LaTeX and other math languages (copy and paste)

Edge screws (per sheet)

E = 2 × (⌈l ÷ pₑ⌉ + ⌈w ÷ pₑ⌉)

E = 2\left(\left\lceil \frac{l}{p_e} \right\rceil + \left\lceil \frac{w}{p_e} \right\rceil\right)

<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
  <mrow>
    <mi>E</mi>
    <mo>=</mo>
    <mn>2</mn>
    <mo>(</mo>
    <mo>&#x2308;</mo>
    <mfrac><mi>l</mi><msub><mi>p</mi><mi>e</mi></msub></mfrac>
    <mo>&#x2309;</mo>
    <mo>+</mo>
    <mo>&#x2308;</mo>
    <mfrac><mi>w</mi><msub><mi>p</mi><mi>e</mi></msub></mfrac>
    <mo>&#x2309;</mo>
    <mo>)</mo>
  </mrow>
</math>

E = 2 (|~ l / p_e ~| + |~ w / p_e ~|)

2 (Ceiling[l/pe] + Ceiling[w/pe])

E := 2*(ceil(l/pe) + ceil(w/pe));

E = 2*(ceil(l/pe) + ceil(w/pe));

E = 2(⌈l/p_e⌉ + ⌈w/p_e⌉)

Field screws (per sheet)

m = ⌊a ÷ p⌋ − 1,  F = m × (⌈b ÷ pₘ⌉ − 1)

m = \left\lfloor \frac{a}{p} \right\rfloor - 1,\quad F = m\left(\left\lceil \frac{b}{p_m} \right\rceil - 1\right)

<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
  <mrow>
    <mi>m</mi>
    <mo>=</mo>
    <mo>&#x230A;</mo>
    <mfrac><mi>a</mi><mi>p</mi></mfrac>
    <mo>&#x230B;</mo>
    <mo>&#x2212;</mo>
    <mn>1</mn>
    <mo>,</mo>
    <mi>F</mi>
    <mo>=</mo>
    <mi>m</mi>
    <mo>(</mo>
    <mo>&#x2308;</mo>
    <mfrac><mi>b</mi><msub><mi>p</mi><mi>m</mi></msub></mfrac>
    <mo>&#x2309;</mo>
    <mo>&#x2212;</mo>
    <mn>1</mn>
    <mo>)</mo>
  </mrow>
</math>

m = |__ a / p __| - 1,  F = m (|~ b / p_m ~| - 1)

m = Floor[a/p] - 1; m (Ceiling[b/pm] - 1)

m := floor(a/p) - 1;  F := m*(ceil(b/pm) - 1);

m = floor(a/p) - 1; F = m*(ceil(b/pm) - 1);

m = ⌊a/p⌋ − 1, F = m(⌈b/p_m⌉ − 1)

Screws per sheet and total screws

N₁ = E + F,  N = N₁ × S

N_1 = E + F,\quad N = N_1 \times S

<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
  <mrow>
    <msub><mi>N</mi><mn>1</mn></msub>
    <mo>=</mo>
    <mi>E</mi>
    <mo>+</mo>
    <mi>F</mi>
    <mo>,</mo>
    <mi>N</mi>
    <mo>=</mo>
    <msub><mi>N</mi><mn>1</mn></msub>
    <mo>&#xD7;</mo>
    <mi>S</mi>
  </mrow>
</math>

N_1 = E + F,  N = N_1 xx S

n1 = e + f; n1*s

N1 := E + F;  N := N1*S;

N1 = E + F; N = N1*S;

N_1 = E + F, N = N_1 × S

Screws with waste and boxes

N′ = ⌈N × (1 + r ÷ 100)⌉,  B = ⌈N′ ÷ k⌉

N^{\prime} = \left\lceil N\left(1 + \frac{r}{100}\right) \right\rceil,\quad B = \left\lceil \frac{N^{\prime}}{k} \right\rceil

<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
  <mrow>
    <msup><mi>N</mi><mo>&#x2032;</mo></msup>
    <mo>=</mo>
    <mo>&#x2308;</mo>
    <mi>N</mi>
    <mo>(</mo>
    <mn>1</mn>
    <mo>+</mo>
    <mfrac><mi>r</mi><mn>100</mn></mfrac>
    <mo>)</mo>
    <mo>&#x2309;</mo>
    <mo>,</mo>
    <mi>B</mi>
    <mo>=</mo>
    <mo>&#x2308;</mo>
    <mfrac><msup><mi>N</mi><mo>&#x2032;</mo></msup><mi>k</mi></mfrac>
    <mo>&#x2309;</mo>
  </mrow>
</math>

N' = |~ N (1 + r/100) ~|,  B = |~ N' / k ~|

nl = Ceiling[n (1 + r/100)]; Ceiling[nl/k]

NL := ceil(N*(1 + r/100));  B := ceil(NL/k);

NL = ceil(N*(1 + r/100)); B = ceil(NL/k);

N′ = ⌈N(1 + r/100)⌉, B = ⌈N′/k⌉

Screws for long pieces (furring strips, deck boards)

M = (⌈ℓ ÷ p⌉ + 1) × c × n

M = \left(\left\lceil \frac{\ell}{p} \right\rceil + 1\right) \times c \times n

<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
  <mrow>
    <mi>M</mi>
    <mo>=</mo>
    <mo>(</mo>
    <mo>&#x2308;</mo>
    <mfrac><mi>&#x2113;</mi><mi>p</mi></mfrac>
    <mo>&#x2309;</mo>
    <mo>+</mo>
    <mn>1</mn>
    <mo>)</mo>
    <mo>&#xD7;</mo>
    <mi>c</mi>
    <mo>&#xD7;</mo>
    <mi>n</mi>
  </mrow>
</math>

M = (|~ l / p ~| + 1) xx c xx n

(Ceiling[l/p] + 1) c n

M := (ceil(l/p) + 1)*c*n;

M = (ceil(l/p) + 1)*c*n;

M = (⌈ℓ/p⌉ + 1) × c × n

Estimate from the area

N = ⌈A × d⌉

N = \lceil A \times d \rceil

<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
  <mrow>
    <mi>N</mi>
    <mo>=</mo>
    <mo>&#x2308;</mo>
    <mi>A</mi>
    <mo>&#xD7;</mo>
    <mi>d</mi>
    <mo>&#x2309;</mo>
  </mrow>
</math>

N = |~ A xx d ~|

Ceiling[a d]

N := ceil(A*d);

N = ceil(A*d);

N = ⌈A × d⌉

Estimated cost

T = u × Q

T = u \times Q

<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
  <mrow>
    <mi>T</mi>
    <mo>=</mo>
    <mi>u</mi>
    <mo>&#xD7;</mo>
    <mi>Q</mi>
  </mrow>
</math>

T = u * Q

u*q

T := u*Q;

T = u*Q;

T = u × Q

Sheets you can cover with the screws on hand (working backward)

S_H = ⌊H ÷ N₁⌋

S_H = \left\lfloor \frac{H}{N_1} \right\rfloor

<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
  <mrow>
    <msub><mi>S</mi><mi>H</mi></msub>
    <mo>=</mo>
    <mo>&#x230A;</mo>
    <mfrac><mi>H</mi><msub><mi>N</mi><mn>1</mn></msub></mfrac>
    <mo>&#x230B;</mo>
  </mrow>
</math>

S_H = |__ H / N_1 __|

Floor[h/n1]

SH := floor(H/N1);

SH = floor(H/N1);

S_H = ⌊H/N_1⌋

How to have ChatGPT do the calculation

You are an assistant for estimating interior construction materials. Do the following calculation by actually running Python code, and base your answer only on the numbers from the run (do not answer from mental math or guesses).

I am hanging 10 sheets of 48 in × 96 in drywall on studs 16 in on center (the studs run along the long side of the sheet), with screws every 8 in along the edges and every 12 in in the field.
Round each (length ÷ spacing) to one decimal place before rounding up or down. For the screws with waste, compute screws × (100 + waste %) ÷ 100 in that order and then round up, so that a floating-point error does not add a screw.
Find each of the following.
1. Edge screws per sheet = 2 × (⌈96÷8⌉ + ⌈48÷8⌉)
2. Framing members in the field = ⌊48÷16⌋ − 1, and field screws per sheet = framing members in the field × (⌈96÷12⌉ − 1)
3. Screws per sheet, and the total for 10 sheets
4. Screws with a 10% waste factor (rounded up), and the boxes needed with 500 screws per box (rounded up)

Show the formulas you used and the numbers from the run.

How to Use

1

Enter your numbers

Type the numbers you want to calculate with into the input fields
2

Calculate

Press the "Calculate" button
3

Check the result

The result appears on the spot. The same page also explains the idea behind the calculation and the formula

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\(w\)	w	The width of one sheet (the shorter side, in inches). From "width". For a 4×8 ft sheet it is 48 in.
\(l\)	l	The length of one sheet (the longer side, in inches). From "length". For a 4×8 ft sheet it is 96 in.
\(p_e\)	p sub e	The edge spacing (the distance between screws along the edges of the sheet, in inches). The \(p\) for pitch (spacing) with an \(e\) for edge.
\(p_m\)	p sub m	The field spacing (the distance between screws on the framing inside the sheet, in inches). The \(m\) is for middle.
\(p\)	p	The framing spacing ("Sheets" mode) or the screw spacing ("Long pieces" mode). Both are a set spacing, from "pitch".
\(a,\ b\)	a, b	The two sides of the sheet, named by how they sit against the framing. \(a\) is the side across the framing (the direction the framing members are spread along), and \(b\) is the side along the framing. For drywall hung vertically, \(a = w\) and \(b = l\). For drywall hung horizontally or a plywood subfloor, \(a = l\) and \(b = w\).
\(m\)	m	The framing members in the field. \(m = \lfloor a \div p \rfloor - 1\), not counting the framing at the two ends.
\(E\)	E	The edge screws (per sheet). From "edge". \(E = 2(\lceil l \div p_e \rceil + \lceil w \div p_e \rceil)\)
\(F\)	F	The field screws (per sheet). From "field", the inner part of the sheet. \(F = m(\lceil b \div p_m \rceil - 1)\)
\(N_1\)	N sub 1	The screws per sheet. \(N\) for number, with 1 for "one sheet". \(N_1 = E + F\).
\(S\)	S	The number of sheets. From "sheet". From an area, it is area ÷ area of one sheet, rounded up.
\(N\)	N	The screws needed (net). \(N = N_1 \times S\) in "Sheets" mode and \(N = \lceil A \times d \rceil\) in "Area" mode.
\(r\)	r	The waste factor (%). From "rate". For 10%, \(r = 10\), and the count is multiplied by \(1 + 10 \div 100 = 1.1\).
\(N^{\prime}\)	N prime	The screws with waste. It is a slightly changed version of \(N\), so it gets a prime mark \(\prime\). \(N^{\prime} = \lceil N(1 + r \div 100) \rceil\).
\(k\)	k	The number of screws in one box.
\(B\)	B	The boxes needed. From "box". \(B = \lceil N^{\prime} \div k \rceil\)
\(\ell\)	script l	The length of one long piece (in inches). Written as a script l to tell it apart from the sheet length \(l\).
\(c\)	c	The screws per spot (screws placed side by side across the board at one spot). From "column". With 2 screws at each joist, \(c = 2\).
\(n\)	lowercase n	The number of long pieces. From "number", in lowercase to tell it apart from the total \(N\).
\(M\)	capital M	The screws for the long pieces. \(M = (\lceil \ell \div p \rceil + 1) \times c \times n\). The screws per piece are \(M_1 = (\lceil \ell \div p \rceil + 1) \times c\).
\(A\)	capital A	The area to cover (ft²). From "area".
\(d\)	d	The screws per square foot. From "density".
\(u\)	u	The price of the screws (per box or per screw). From "unit price".
\(Q\)	Q	The quantity that matches the price (boxes, or screws with waste). From "quantity".
\(T\)	T	The estimated cost (screws only). From "total".
\(H\)	H	The screws on hand. From "have".
\(S_H\)	S sub H	The sheets you can cover with the screws on hand. \(S_H = \lfloor H \div N_1 \rfloor\)
\(\lceil x \rceil\)	ceiling of x	The ceiling function: round up to a whole number (for example \(\lceil 9.1 \rceil = 10\) and \(\lceil 8 \rceil = 8\)). Spaces, screws and boxes are found with it.
\(\lfloor x \rfloor\)	floor of x	The floor function: round down to a whole number (for example \(\lfloor 2.68 \rfloor = 2\) and \(\lfloor 9.6 \rfloor = 9\)). The framing members that cross a sheet and the sheets you can cover with the screws on hand are found with it.

Screw Calculator (How Many Screws for Drywall, Plywood and Decking)

Table of Contents

What you can do on this page

What is this calculation used for?

Formulas and figures

Symbols and terms

Symbols

Terms

Good to know before you start

How to calculate it in Excel

How to calculate it in Google Sheets

How to calculate it in Python

How to write it in LaTeX and other math languages (copy and paste)

How to have ChatGPT do the calculation

How to Use

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