Tile Calculator (How Many Tiles, Boxes and Cost)

Enter the tile size, the grout width and the area to tile. Tiles per box and price are optional (if left blank, they are not calculated).

Units

Tile length

Tile width

How to enter the area to tile

Length × width Total area

Room length (m)

Room width (m)

Grout width (gap between tiles)

Tiles per box (optional)

Tile price ($, optional)

The grout width can be 0. A negative value is treated as an overlap.

Result and figure

Enter the tile size and the area to tile in the fields on the left and press "Calculate". The result 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 tile (length × width) and the size of the area to tile, and you get the number of tiles you need on the spot
The grout width (the gap between tiles) is included in the count. Enter a negative value to calculate pieces that overlap at the edges
The result also shows how many to buy with 5-10% extra for cuts, breakage and spares
Enter the tiles per box and the price, and you also get the number of boxes and an estimated cost
A plain-language explanation of the formulas and copy-and-paste formulas for Excel, Google Sheets and Python are all on this page

The count is an estimate based on area. How many tiles you really need depends on the waste from cuts, which changes with the layout and the shape of the room, so it is common to buy 5-10% extra. By default this page works in inches and feet; switch "Units" above the calculator to Metric to use mm, cm and m.

What is this calculation used for?

DIY tiling a bathroom, laundry room or entryway

Say you tile a 5 × 5 ft bathroom floor (25 ft²) with 4 × 4 in tiles and 1/8 in grout. Each tile takes up $(4 + 0.125)^2 = 17.015625$ in², so you need $\lceil 25 \times 144 \div 17.015625 \rceil = 212$ tiles, or 223 to 234 with waste.
The smaller the tile, the faster the count goes up. Working it out before you shop helps you avoid running short or buying far too many.

Checking a remodeling quote

A remodeling quote lists items such as "kitchen floor tile, 200 sq ft" with the material cost. With large 24 × 24 in tiles and 1/8 in grout, each tile takes up $24.125^2 = 582.015625$ in², so 200 ft² needs $\lceil 200 \times 144 \div 582.015625 \rceil = 50$ tiles before waste.
Knowing this formula lets you follow where the tile count and material cost in a quote come from, and makes it easier to list the questions to ask the contractor. (A real quote also includes labor, surface preparation and the waste factor, so the tile count alone cannot tell you whether the price is fair.)

Laying interlocking deck tiles on a balcony or patio

Snap-together 12 × 12 in deck tiles that just sit on the surface are a popular DIY project, even for renters. A 4 × 10 ft balcony (40 ft²) with no gaps (grout width 0) takes exactly $40 \div 1 = 40$ tiles, since each tile is 1 ft².
Deck tiles are usually sold in packs of 10 or so, so using the box formula to work out the number of packs (4 packs here) lets you order in one go.

Planning a mosaic art project at school or an event

A mosaic mural for a school fair, or a bulletin board covered with squares of colored paper, can be estimated with this formula too. To fill a 6 × 8 ft wall (48 ft² = 6,912 in²) with 2 × 2 in pieces and no gaps, you need $6912 \div 4 = 1728$ pieces.
If you count the share of each color on the design sketch, you can also work out how many pieces of each color you need in advance.

Formulas and figures

Area covered by one tile with grout

Figure

Standard notation (the usual math form)

$a$ $=$ $($ $l$ $+$ $g$ $)$ $\times$ $($ $w$ $+$ $g$ $)$

In words (symbols replaced with words)

④ $a$: area per tile with grout $=$ $($ ① $l$: tile length $+$ ② $g$: grout width $)$ $\times$ $($ ③ $w$: tile width $+$ $g$: grout width $)$

The formula in words

① Take the $l$: tile length

② and add the $g$: grout width to get the space one tile takes up lengthwise

③ add the same grout width to the $w$: tile width to get the space it takes up widthwise, and multiply the two

④ and you get the $a$: area per tile with grout

Quick example

When you lay 12 × 12 in tiles with 1/8 in (0.125 in) grout lines, the area one tile takes up is

area $a$ $=$ $($ length (12 in) $+$ grout (0.125 in) $)$ $\times$ $($ width (12 in) $+$ grout (0.125 in) $)$

$(12 + 0.125) \times (12 + 0.125) = 12.125 \times 12.125 = 147.015625\,\mathrm{in^2}$

$147.015625 \div 144 \approx 1.021\,\mathrm{ft^2}$

Key idea

Tiles are laid with a gap (a grout line) between them, so the space one tile really takes up is "tile size + grout width". The key is to add the grout width to both the length and the width. If the pieces overlap a little, enter a negative grout width: the area per piece gets smaller and you need more pieces. Before calculating, put the length, width and grout width in the same unit. This page does it for you (inches in US units, meters in metric). Since 1 ft² = 12 × 12 = 144 in², divide by 144 to turn in² into ft².

Number of tiles needed

Figure

Standard notation (the usual math form)

$N$ $=$ $\lceil$ $S$ $\div$ $a$ $\rceil$

In words (symbols replaced with words)

④ $N$: tiles needed $=$ ③ $\lceil$ ① $S$: area to tile $\div$ ② $a$: area per tile with grout $\rceil$

The formula in words

① Take the $S$: area to tile

② divide it by the $a$: area per tile with grout to see how many tiles' worth of space it is

③ round up to a whole number (the symbol $\lceil\ \rceil$ means "round up")

④ and you get the $N$: tiles needed

Quick example

To tile a 12 × 10 ft floor (120 ft² = 17,280 in²) with the tiles above (147.015625 in² each), the number of tiles needed is

tiles needed $N$ $=$ $\lceil$ area (17,280 in²) $\div$ area per tile (147.015625 in²) $\rceil$

$17280 \div 147.015625 \approx 117.54$

$\lceil 117.54 \rceil = 118$

Key idea

You can only buy whole tiles, so if the division leaves a decimal, always round up (117.54 tiles → 118 tiles). Rounding down or rounding to the nearest whole number would leave you short. The symbol for rounding up is $\lceil\ \rceil$ (the ceiling function). Note that this count is "how many tiles' worth of area" the floor is. In real work you cut tiles at the edges of the room, and the cut-off pieces cannot always be used elsewhere, so the real count goes up depending on the layout. The "5-10% extra" in the next formula covers this.

Tiles to buy with waste (5-10% extra)

Standard notation (the usual math form)

$N_{5}$ $=$ $\lceil$ $N$ $\times$ $1.05$ $\rceil$

$N_{10}$ $=$ $\lceil$ $N$ $\times$ $1.10$ $\rceil$

In words (symbols replaced with words)

③ $N_{5}$: count with 5% extra $=$ $\lceil$ ① $N$: tiles needed $\times$ ② 1.05: factor for 5% extra $\rceil$

$N_{10}$: count with 10% extra $=$ $\lceil$ $N$: tiles needed $\times$ 1.10: factor for 10% extra $\rceil$

The formula in words

① Take the $N$: tiles needed

② multiply it by the factors for 5% and 10% extra (1.05 and 1.10) and round up

③ and you get the tiles to buy with waste ($N_{5}$ to $N_{10}$)

Quick example

When you need 118 tiles, the number to buy with waste is

$\lceil 118 \times 1.05 \rceil = \lceil 123.9 \rceil = 124$

$\lceil 118 \times 1.10 \rceil = \lceil 129.8 \rceil = 130$

Key idea

Tiles have to be cut to fit at the edges of the room and around posts and pipes, so you need extra for cuts, breakage and mistakes. How much waste you get depends on the layout and the shape of the room, so it is common to buy 5-10% more rather than the exact count. For layouts that make more waste, such as a diagonal (diamond) pattern, plan on the high side (10% or more). Keeping a few spare tiles is also useful for repairs later, because a later batch of the same tile may not match in color.

Number of boxes needed

Standard notation (the usual math form)

$B$ $=$ $\lceil$ $N$ $\div$ $k$ $\rceil$

In words (symbols replaced with words)

③ $B$: boxes needed $=$ $\lceil$ ① $N$: tiles needed $\div$ ② $k$: tiles per box $\rceil$

The formula in words

① Take the $N$: tiles needed

② divide it by the $k$: tiles per box and round up

③ and you get the $B$: boxes needed

Quick example

When you need 118 tiles and they come 15 to a box, the number of boxes needed is

boxes needed $B$ $=$ $\lceil$ tiles needed (118) $\div$ per box (15) $\rceil$

$118 \div 15 \approx 7.87$

$\lceil 7.87 \rceil = 8$

Key idea

Tile is usually sold by the box (carton), not by the piece, so you find the number of boxes by rounding up, just like the tile count. To buy with waste, divide the counts with 5-10% extra ($N_{5}$ to $N_{10}$ from the previous formula) by $k$ and round up. In this example, 124 tiles is $\lceil 124 \div 15 \rceil = 9$ boxes, and 130 tiles is also $\lceil 130 \div 15 \rceil = 9$ boxes.

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 Take the $u$: unit price (price per tile, per box or per ft²)

② multiply it by the $Q$: quantity (tiles, boxes or area, to match the unit price)

③ and you get the $T$: estimated cost

Quick example

The cost of 118 tiles at $2.50 each is

estimated cost $T$ $=$ unit price ($2.50) $\times$ quantity (118 tiles)

$2.50 \times 118 = 295$

Key idea

The key is to match the unit of the price and the quantity. For a price per tile, multiply by the number of tiles $N$; for a price per box, by the number of boxes $B$; for a price per square foot, by the area $S$. To budget with waste, do the same calculation with the counts with 5-10% extra and take the range. Grout, thinset (tile adhesive), tools and other supplies cost extra on top of the tile itself.

The basic rule is to divide the area to tile by the area one tile takes up with grout, and round up. Waste from cuts depends on the layout, so it is common to buy 5-10% extra.

Symbols and terms

Symbols

$l$	ell	The length of one tile. For the calculation it is put in inches (in US units). (Example - 1 ft → 12 in)
$w$	double-u	The width of one tile. For a square tile it is the same as the length.
$g$	gee	The grout width (the gap between tiles). A negative value means an overlap.
$a$	ay	The area one tile takes up, grout included. It is found with $a = (l+g)(w+g)$.
$S$	ess	The area to tile. You enter it as length × width, or as a total area (ft²).
$N$	en	The number of tiles needed. It is found with $N = \lceil S \div a \rceil$.
$N_{5}$, $N_{10}$	N sub 5, N sub 10	The number of tiles to buy with waste (cuts and spares). They are the tiles needed plus 5% and plus 10%, rounded up.
$k$	kay	The number of tiles in one box (carton).
$B$	bee	The number of boxes needed. It is found with $B = \lceil N \div k \rceil$.
$u$	you	The unit price of the tile (per tile, per box or per square foot).
$Q$	cue	The quantity that matches the unit of the price (number of tiles, number of boxes or area).
$T$	tee	The estimated cost (tile only; grout, adhesive and other supplies are not included).
$\lceil x \rceil$	ceiling of x	The symbol for rounding up to a whole number (the ceiling function). (Example - $\lceil 117.54 \rceil = 118$, $\lceil 8 \rceil = 8$)

Terms

grout line (grout joint)	The gap left between tiles and filled with grout (a cement-based filler). It absorbs small size differences between tiles and helps prevent cracking and loose tiles. In the US, 1/16 to 1/4 in is common, with 1/8 in typical for floor tile, but the right width depends on the tile and where it goes.
waste	The cut-off pieces left over when tiles are cut to fit at the edges of the room or around posts. The amount depends on the layout and the shape of the room, so it is common to buy 5-10% more than the tiles needed (often called a waste factor or overage).
area to tile	The size of the surface you tile. For a floor it is the floor area; for a wall it is the area to be covered. If there are parts you do not tile, such as windows or doors, subtract them first.
rounding up	Raising a number with a decimal part to the next whole number. You can only buy whole tiles and boxes, so counts are always rounded up.
overlap (lapping)	Laying pieces so that their edges cover each other a little, as with roof shingles or siding. The overlap makes the area each piece covers smaller, so you need more pieces. On this page, enter a negative grout width to calculate an overlap.

Good to know before you start

Here is what helps you use the calculation on this page with real understanding, not just by pressing the button.

Area of a rectangle (Grade 3)	Knowing that the area of a rectangle is length × width
Converting units of length and area (Grades 4–5)	Knowing that 1 ft = 12 in and 1 yd = 3 ft Knowing that for area you multiply by the conversion number twice, as in 1 ft² = 12 × 12 = 144 in²
Multiplying and dividing decimals (Grades 5–6)	Understanding what decimal calculations such as $12.125 \times 12.125$ and $17280 \div 147.015625$ mean (a calculator can do the arithmetic)
Percents (Grade 6)	Knowing that "5% more" can be calculated as "× 1.05"
Rounding (Grades 3–4)	Knowing the difference between rounding up, rounding down and rounding to the nearest whole number Being able to explain in your own words why material counts are always rounded up

How to calculate it in Excel

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

Table to find the area per tile with grout

Tile length (in)	12
Tile width (in)	12
Grout width (in)	0.125
Area per tile (in²)	=(B1+B3)*(B2+B3)

Table to find the tiles needed

Area to tile (ft²)	120
Area per tile with grout (in²)	147.015625
Tiles needed	=ROUNDUP(B1*144/B2,0)

Table to find the tiles to buy with waste

Tiles needed	118
Count with 5% extra	=ROUNDUP(B1*1.05,0)
Count with 10% extra	=ROUNDUP(B1*1.1,0)

Table to find the boxes needed

Tiles needed	118
Tiles per box	15
Boxes needed	=ROUNDUP(B1/B2,0)

Table to find the estimated cost

Unit price ($)	2.5
Quantity (tiles, boxes or ft²)	118
Estimated cost ($)	=B1*B2

After pasting, the upper rows of column B are your inputs and the last row is calculated automatically.
"ROUNDUP(value, 0)" rounds up to a whole number (the ⌈ ⌉ in the formulas).
The first table adds the grout width to the tile length and width in inches and multiplies them (B4 shows 147.015625).
In the second table, "*144" turns the area in ft² into in² before dividing, and B3 shows 118. The third table gives 124 and 130, and B3 in the fourth table is 8 boxes. 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 to find the area per tile with grout

Tile length (in)	12
Tile width (in)	12
Grout width (in)	0.125
Area per tile (in²)	=(B1+B3)*(B2+B3)

Table to find the tiles needed

Area to tile (ft²)	120
Area per tile with grout (in²)	147.015625
Tiles needed	=ROUNDUP(B1*144/B2,0)

Table to find the tiles to buy with waste

Tiles needed	118
Count with 5% extra	=ROUNDUP(B1*1.05,0)
Count with 10% extra	=ROUNDUP(B1*1.1,0)

Table to find the boxes needed

Tiles needed	118
Tiles per box	15
Boxes needed	=ROUNDUP(B1/B2,0)

Table to find the estimated cost

Unit price ($)	2.5
Quantity (tiles, boxes or ft²)	118
Estimated cost ($)	=B1*B2

The same formulas as in Excel (including the ROUNDUP function) work as is. 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

tile_length_in = 12      # tile length (in)
tile_width_in = 12       # tile width (in)
grout_in = 0.125         # grout width, gap between tiles (in)
room_length_ft = 12      # room length (ft)
room_width_ft = 10       # room width (ft)
tiles_per_box = 15       # tiles per box
price_per_tile = 2.50    # price per tile ($)

# area one tile takes up with grout (in²). 1 ft² = 144 in²
tile_area_in2 = (tile_length_in + grout_in) * (tile_width_in + grout_in)
total_area_ft2 = room_length_ft * room_width_ft

tiles_needed = math.ceil(total_area_ft2 * 144 / tile_area_in2)  # tiles needed (round up)
tiles_low = math.ceil(tiles_needed * 1.05)                      # with waste, 5% extra
tiles_high = math.ceil(tiles_needed * 1.10)                     # with waste, 10% extra
boxes_needed = math.ceil(tiles_needed / tiles_per_box)          # boxes needed (round up)
cost = tiles_needed * price_per_tile                            # estimated cost ($)

print(f"Area to tile: {total_area_ft2} ft²")
print(f"Tiles needed: {tiles_needed}")
print(f"Tiles to buy with waste: {tiles_low} to {tiles_high}")
print(f"Boxes needed: {boxes_needed}")
print(f"Estimated cost: ${cost:.2f}")

Runs with the standard library only. math.ceil() rounds up (the ⌈ ⌉ in the formulas). Replace the sizes and the price at the top with your own numbers and run it.

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

Area covered by one tile with grout

a = (l + g) × (w + g)

a = (l + g)(w + g)

<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
  <mrow>
    <mi>a</mi>
    <mo>=</mo>
    <mrow><mo>(</mo><mi>l</mi><mo>+</mo><mi>g</mi><mo>)</mo></mrow>
    <mo>&#x2062;</mo>
    <mrow><mo>(</mo><mi>w</mi><mo>+</mo><mi>g</mi><mo>)</mo></mrow>
  </mrow>
</math>

a = (l + g)(w + g)

(l + g)*(w + g)

a := (l + g)*(w + g);

a = (l + g)*(w + g);

a = (l + g)(w + g)

Number of tiles needed

N = ⌈S ÷ a⌉

N = \left\lceil \frac{S}{a} \right\rceil

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

N = |~ S / a ~|

Ceiling[s/a]

N := ceil(S/a);

N = ceil(S/a);

N = ⌈S/a⌉

Tiles to buy with waste (5-10% extra)

N₅ = ⌈N × 1.05⌉,  N₁₀ = ⌈N × 1.10⌉

N_{5} = \lceil N \times 1.05 \rceil,\quad N_{10} = \lceil N \times 1.10 \rceil

<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
  <mrow>
    <msub><mi>N</mi><mn>5</mn></msub>
    <mo>=</mo>
    <mo>&#x2308;</mo>
    <mi>N</mi><mo>&#xD7;</mo><mn>1.05</mn>
    <mo>&#x2309;</mo>
    <mo>,</mo>
    <msub><mi>N</mi><mn>10</mn></msub>
    <mo>=</mo>
    <mo>&#x2308;</mo>
    <mi>N</mi><mo>&#xD7;</mo><mn>1.10</mn>
    <mo>&#x2309;</mo>
  </mrow>
</math>

N_5 = |~ N xx 1.05 ~|,  N_10 = |~ N xx 1.10 ~|

{Ceiling[n*1.05], Ceiling[n*1.10]}

N5 := ceil(N*1.05);  N10 := ceil(N*1.10);

N5 = ceil(N*1.05); N10 = ceil(N*1.10);

N_5 = ⌈N × 1.05⌉, N_10 = ⌈N × 1.10⌉

Number of boxes needed

B = ⌈N ÷ k⌉

B = \left\lceil \frac{N}{k} \right\rceil

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

B = |~ N / k ~|

Ceiling[n/k]

B := ceil(N/k);

B = ceil(N/k);

B = ⌈N/k⌉

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

How to have ChatGPT do the calculation

You are a quantity calculation assistant for tile work. Do the following calculation by actually running Python code, and base your answer only on the numbers from the execution result (do not answer by mental math or guessing).

I am laying 12 × 12 inch tiles with 1/8 inch grout lines on a floor that is 12 ft long and 10 ft wide.
Find each of the following:
1. The area one tile takes up including grout (in²)
2. The number of tiles needed (area to tile ÷ area per tile, rounded up)
3. The number of tiles to buy with waste (the tiles needed plus 5% and plus 10%, each rounded up)
4. The number of boxes needed if there are 15 tiles per box (rounded up)

Show the formulas you used and the numbers from the execution result.

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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\(l\)	ell	The length of one tile. For the calculation it is put in inches (in US units). (Example - 1 ft → 12 in)
\(w\)	double-u	The width of one tile. For a square tile it is the same as the length.
\(g\)	gee	The grout width (the gap between tiles). A negative value means an overlap.
\(a\)	ay	The area one tile takes up, grout included. It is found with \(a = (l+g)(w+g)\).
\(S\)	ess	The area to tile. You enter it as length × width, or as a total area (ft²).
\(N\)	en	The number of tiles needed. It is found with \(N = \lceil S \div a \rceil\).
\(N_{5}\), \(N_{10}\)	N sub 5, N sub 10	The number of tiles to buy with waste (cuts and spares). They are the tiles needed plus 5% and plus 10%, rounded up.
\(k\)	kay	The number of tiles in one box (carton).
\(B\)	bee	The number of boxes needed. It is found with \(B = \lceil N \div k \rceil\).
\(u\)	you	The unit price of the tile (per tile, per box or per square foot).
\(Q\)	cue	The quantity that matches the unit of the price (number of tiles, number of boxes or area).
\(T\)	tee	The estimated cost (tile only; grout, adhesive and other supplies are not included).
\(\lceil x \rceil\)	ceiling of x	The symbol for rounding up to a whole number (the ceiling function). (Example - \(\lceil 117.54 \rceil = 118\), \(\lceil 8 \rceil = 8\))

Tile Calculator (How Many Tiles, Boxes and Cost)

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

DataChef Features

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