# Cube And Cube Roots

How to Cube A Number

To cube a number, just use it in a multiplication 3 times ...

Example: What is 4 Cubed?

 3 Cubed = = 4 × 4 × 4 = 64

Cubes From 03 to 73

 0 cubed = 03 = 0 × 0 × 0 = 0 1 cubed = 13 = 1 × 1 × 1 = 1 2 cubed = 23 = 2 × 2 × 2 = 8 3 cubed = 33 = 3 × 3 × 3 = 27 4 cubed = 43 = 4 × 4 × 4 = 64 5 cubed = 53 = 5 × 5 × 5 = 125 6 cubed = 63 = 6 × 6 × 6 = 216 7 cubed = 73 = 7 × 7 × 7 = 343

Cube Root

cube root goes the other direction:

3 cubed is 27, so the cube root of 27 is 3

The cube root of a number is ...
... a special value that when cubed gives the original number.

The cube root of 27 is ...
... 3, because when 3 is cubed you get 27

### Example: What is the Cube root of 125?

We know that 125 = 5 × 5 × 5 , so cube root of 125 is 5

The Cube Root Symbol This is the special symbol that means "cube root", it is the "radical" symbol (used for square roots) with a little three to mean cube root.

When we cube negative numbers, answer is in negative.

When we cube +5 we get +125:+5 × +5 × +5 = +125

When we cube −5 we get −125:−5 × −5 × −5 = −125

So the cube root of −125 is −5