In this activity, we are going to be looking at the **volume scale factor** of **similar shapes**.

A **similar shape** has the same size angles, but the sides are proportionally bigger or smaller.

We use **scale factor **to help us to work out any missing lengths.

**Area scale factor** - this is where we **square the scale factor**.

For **volume scale factor** - we **cube the scale factor**!

This might seem obvious since:

**length is measured in cm
area in cm ^{2}
volume in cm^{3}**

**If scale factor = 2**

**Area scale factor is 2 ^{2} = 2 x 2 = 4**

**Volume scale factor = 2 ^{3} = 2 x 2 x 2 = 8**

Let's look at a question to help us to understand this.

__Example__

Two similar shapes have a scale factor of 3

What is the volume scale factor?

**Answer**

As we said above, we can **cube the scale factor** to get the volume scale factor!

**Volume scale factor = 3 ^{3} = 3 x 3 x 3 = 27**

You can see from the diagram above that the volume of the bigger shape is 27 if the scale factor is 3.

Are you ready to have a go at some questions?