Finding volume by counting cubes

The volume of a shape measures the three dimensional (3D) amount of space it takes up. Volume is measured in cubes.

Volume of a cube diagram

A cubic centimetre is the volume within a cube that has sides of length \({1~cm}\), as shown above. It has a volume of \({1~cm}^3\) (\(1~cm\) cubed).

Volume of a cuboid diagram

This cuboid contains \(12\) cubes. Each cube has a volume of \({1~cm}^3\). So the volume of this cuboid is \({12~cm}^3\).

Question

Find the volume of the following cuboids:

a)

Volume of a cube diagram

b)

Volume of a cuboid diagram

a) \({8~cm}^3\)

b) There are two layers of nine cubes, so the volume is \({18~cm}^3\).

Question

Find the volume of the following 3D shape.

3D shape diagram

\[{11~cm^3}\]