Look at the compound figure below.

Think of it as a large cuboid with the dimensions **a x b x d** with a smaller cuboid of dimensions **b x c x b** cut out.

a = 10 cm

b = 4 cm

c = 2 cm

d = 6 cm

**How would you calculate the volume? **

We would need to find the volume of the large cuboid first and then subtract the volume of the small cut-out cuboid shape.

The large cuboid has lengths a, b and d, which is 10 x 4 x 6.

10 x 4 x 6 = 240

The smaller cut-out cuboid shape has lengths b, c and b again, which is 4 x 2 x 4

4 x 2 x 4 = 32

So the volume of the shape above is 240 - 32 = **208** **cm ^{3}**

Let's have a go at some questions now.