Converting volume units of measurement can be a challenging concept, as we need to ensure we consider volume conversion factors.

When we are converting from, for example, metres into centimetres, we know that 1 m = 100 cm.

This leads to the misconception that 1 m^{3} = 100 cm^{3}.

BUT, in reality, 1 m^{3} = 1,000,000 cm^{3}.

Let's look at what's happening here with a diagram to help.

Looking at the **volume** of these two identical cubes, we can say that:

1 m × 1 m × 1 m = 100 cm × 100 cm × 100 cm

1 m^{3} = 1,000,000 cm^{3}

**Is there a trick here?**

In a way, yes.

All we need to do for a** volume conversion** is to find the conversion if we were dealing with a length and then **cube it **to get the volume conversion factor.

Let's look at this process in action with some examples now.

**e.g. Convert 1.4 m ^{3} into cm^{3}.**

We know that for length, 1 m = 100 cm.

So for volume, 1 m^{3} = 1,000,000 cm^{3}.

So 1.4 m^{3} = 1.4 × 1000000 = 14000000 cm^{3}.

**e.g. Convert 350 m ^{3} into km^{3}.**

We know that for length, 1 km = 1000 m.

So for volume, 1 km^{3} = 1,000,000,000 m^{3}.

So 350 m^{3} = 350 ÷ 1000000000 = 0.00000035 m^{3}.

In this activity, we will convert volume amounts between different units of measurements (cm^{3}, m^{3}, km^{3}) using the method shown above of calculating and applying a volume conversion factor.