Area of a Cube Calculator

Welcome to our Area of a Cube Calculator page.

We explain how to find the surface area of a cube and provide a quick calculator to work it out for you, step-by-step.

There is a separate calculator which will find the length of the side of a square, if you already know the surface area.

You can also take a look at our worked examples and try our practice sheets to help you master this skill.

Area of a Cube Calculator

This calculator finds the area of a cube when the side length is known.

Area of a Cube Calculator

area of a cube labelled image


Answer


Answer

 
 

How the Calculator Works

  1. Choose the length of side value: you can choose a whole number, decimal or fraction.
    • You can type a fraction by typing the numerator then '/' then the denominator.
    • You can type a mixed number by typing the whole-number part, then a space then the fraction part.
    • Examples: 2 1/2 (two and one-half); 3 4/5 (three and four-fifths); 7 1/3 (seven and one-third).
  2. Choose your units of measurement (default is none)
  3. Choose your desired accuracy (default is 2 decimal places)
  4. Click the Find Area button
  5. You will be shown the area as a decimal (and also a fraction if you typed the length as a fraction).

Area of a Cube Calculator 2

This calculator finds the side length of the square when the area is known.

Area of a Cube Calculator 2

Answer1


 
 

How the Calculator Works

  1. Choose the area value: you can choose a whole number, decimal or fraction.
  2. Choose your units of measurement (default is none)
  3. Choose your desired accuracy (default is 2 decimal places)
  4. Click the Find Side Length button
  5. You will be shown the side length as a decimal to the required accuracy.

Surface Area of a Cube Explanation

how to work out area of a cube image

To find the surface area of a cube, we need to add up the areas of each of the 6 identical faces.

The area of each face is s2, so this gives us a total area of 6s2.

Surface Area of a Cube Formula

area of a cube formula image

The formula for the area of a cube is: A = 6s2, where s is the length of one of the sides.

Surface Area of a Cube Examples

Area of a Cube Example 1

Find the surface area of the cube below.

area of a cube example 1

The length of each side of the cube is 17 cm.

The formula for the surface area of a cube is \[ A = 6 s^2, \; where \; s \; is \; the \; length \; of \; each \; side. \]

So this means that \[ A = 6 \cdot 17^2 = 6 \cdot 17 \cdot 17 = 1734 \]

This means that the surface area of the cube is 1734 cm2.



Area of a Cube Example 2

Find the surface area of the cube below, giving your answer as a fraction.

area of a cube example 2

The length of each side of the cube is 8 ½ inches.

The formula for the surface area of a cube is \[ A = 6 s^2, \; where \; s \; is \; the \; length \; of \; each \; side. \]

The area of the cube: \[ A = 6 \cdot (8 {1 \over 2}) ^2 = 6 \cdot (8 {1 \over 2}) \cdot (8 {1 \over 2}) = 6 \cdot {189 \over 4} = {867 \over 2} \]

This means that the surface area of the cube is: \[ {867 \over 2} \; or\; 433 {1 \over 2} \; square \; inches \]



Area of a Square Cube 3

Find the surface area of the cube below.

area of a cube example 3

The length of each side of the cube is 1.4 meters.

The area of the cube: \[ A = 6 \cdot (1.4) ^2 = 6 \cdot (1.4) \cdot (1.4) = 6 \cdot 1.96 = 11.76 \]

This means that the surface area of the cube is: \[ 1.76 \; m^2 \]



Area of a Cube Example 4

Use the surface area of the cube below to find the length of each side correct to 1 decimal place.

area of a cube example 4

The surface area of the cube is 980 cm2.

The formula for the surface area of a cube is \[ A = 6 s^2, \; where \; s \; is \; the \; length \; of \; each \; side. \]

We can rearrange this equation in terms of the side length s to give us:

\[ s = \sqrt ({A \over 6}) \]

Substituting the value of A into this equation gives us:

\[ s = \sqrt ({980 \over 6 }) = \sqrt ({490 \over 3}) = 12.78019...\]

This means that the length of each side is 12.8 cm to 1 decimal place.

Surface Area of a Cube Worksheets

We have created two worksheets for you to practice the skill of finding the area and sde lengths of a range of different cubes.

Sheet 1: you have to find the surface area of different cubes using the side length measurements.

Sheet 2: you have to find the side lengths of different cubes using the surface area measurements.

You can use our area of a cube calculator to check you working out if you get stuck!

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

Volume of a Cube Calculator

We also have a volume of a cube calculator page which is similar to this page, but with volume instead of area.

There are worksheets, worked examples and support as well as a calculator to help you find the volume of a range of cubes.

More Area Support and Resources

We have a range of other area worksheets and support pages for a range of different 2d shapes.

More Area Calculators

We have a range of other area calculators to help you find the area of a range of different 2d and 3d shapes.

Looking for more math calculators?

We have a wide range of free math calculators to help you.

Most of our calculators show you their working out so that you can see exactly what they have done to get the answer.

Our calculator hub page contains links to all of our calculators!

 

How to Print or Save these sheets

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Need help with printing or saving?
Follow these 3 easy steps to get your worksheets printed out perfectly!

How to Print or Save these sheets

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Need help with printing or saving?
Follow these 3 easy steps to get your worksheets printed out perfectly!

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