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 0^{3} to 7^{3}
0 cubed

=

0^{3}

=

0 × 0 × 0

=

0

1 cubed

=

1^{3}

=

1 × 1 × 1

=

1

2 cubed

=

2^{3}

=

2 × 2 × 2

=

8

3 cubed

=

3^{3}

=

3 × 3 × 3

=

27

4 cubed

=

4^{3}

=

4 × 4 × 4

=

64

5 cubed

=

5^{3}

=

5 × 5 × 5

=

125

6 cubed

=

6^{3}

=

6 × 6 × 6

=

216

7 cubed

=

7^{3}

=

7 × 7 × 7

=

343

Cube Root
A 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