A cube has sides of 4 cm. Work out its volume.

Step by step, with the reason for every step · GCSE Maths Foundation Paper 1 · GCSE Maths

Step by step

Question: find the volume of a cube with sides 4 cm.

Volume is how much space is inside.

We count the 1 by 1 by 1 cubes that fit.

All the sides of a cube are the same.

So the volume is V = side × side × side.

V = side × side × side

Now put the numbers in: side = 4.

V = 4 × 4 × 4

4 times 4 is 16.

That is one layer of 16 cubes.

So V = 16 × 4: 4 layers of 16.

V = 16 × 4

16 times 4 is 64.

We count cubes, so the unit is cm³.

So the volume is 64 cm³.

V = 64 cm³

Answer

V = 64 cm³

Try this one yourself, then check your answer:

Find the volume of a cube with sides 5 cm.

Show the answer

V = 125 cm³