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}