In this activity, we're going to be learning how to calculate the **volume** of cubes and cuboids.

We use the following formulae to work out the volumes of these shapes:

**Volume of a cube/cuboid = length × width × height**

**Volume of a Cube**

We only need to know the** length of one side** because this is a **cube** (the length, the width and the height will be equal).

**Cuboid**

We need to know the **length,** the **width **and the **height**.

Let's have a go:

**Example**

Calculate the volume of this cuboid in cm^{3}

**Answer**

The length is** 15 cm**, the width is **4 cm** and the height is **8 cm**.

**Volume of cuboid **= length × width × height = 15 × 4 × 8 = 60 × 8** **= **480 cm ^{3}**

Now let's compare the volume of two shapes:

Which shape has the greatest volume?

**Answer**

Yellow cuboid = 12 m x 2 m x 2 m = 48 m³

Blue cuboid = 10 m x 4 m x 2 m = 80 m³

The volume of the blue cuboid is greater.

**Top Tips: **

Check the unit of measure carefully in each of the following questions; we will be using mm, cm, m and km.

We can do each calculation in any order.

Volume is measured in cubic units (mm³ cm³ m³ km³)

Now it's your turn to try some questions - good luck!