# 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

Area of a Cube Calculator ### Area of a Cube Calculator 2

Area of a Cube Calculator 2

### Surface Area of a Cube Examples

#### Area of a Cube Example 1

Find the surface area of the cube below. 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. 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 Cube Example 3

Find the surface area of the cube below. 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. 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.

### More Recommended Math Worksheets

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

### More Area & Volume Calculators

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How to Print or Save these sheets

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Follow these 3 easy steps to get your worksheets printed out perfectly!