We have looked before at finding a square number and a square root.

In this activity, we're going to explore **cube numbers** and **cube roots**.

**Cube numbers **are reached when you multiply a number by **itself twice**.

**e.g. 6 ^{3} = 6 x 6 x 6 = 216**

A **cube root** is the **opposite** of a cube **number**.

To find one, you need to ask yourself the question:

"I have to multiply three numbers that are the same to reach this number. What must the numbers be?"

**e.g. Find the cube root of 27.**

27 = __ x __ x __

The only number that could fit here (since they all have to be the same) is 3.

27 = 3 x 3 x 3

So the cube root of 27 is 3.

In this activity, we will find the answers to cube powers and cube roots so that we are able to work these out without a calculator.