# Cubing Numbers and Cube Roots

In this worksheet, students practise cubing numbers and working with cube roots.

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Understand Integer Powers/Real Roots

Difficulty level:

### QUESTION 1 of 10

In this worksheet, we will learn how to estimate cube numbers and cube roots.

To cube a number we multiply it by itself three times.

43 = 4 x 4 x 4 = 64

It can be illustrated as a cube made up of smaller cubelets - 4 long, 4 wide and 4 high.

There are 64 cubelets in this cube.

The cube root of a number is the inverse of a cube.

The cube root of 8 is 2, because 2 × 2 × 2 = 8.

We write 3√8 = 2

Find this cube root without using a calculator.

3√1000 = _________

Find this cube root without using a calculator.

3√125= _________

Find this cube root without using a calculator.

3√1= _________

Find this cube root without using a calculator.

3√8= _________

Find this cube root without using a calculator.

3√64= _________

Find this cube without using a calculator.

93 = _________

Find this cube without using a calculator.

(-7)3 = _________

Find this cube without using a calculator.

0.23 = _________

Find this cube  without using a calculator.

(-6)3 = _________

Find this cube without using a calculator.

(-0.3)3 = _________

• Question 1

Find this cube root without using a calculator.

3√1000 = _________

10
• Question 2

Find this cube root without using a calculator.

3√125= _________

5
• Question 3

Find this cube root without using a calculator.

3√1= _________

1
• Question 4

Find this cube root without using a calculator.

3√8= _________

2
• Question 5

Find this cube root without using a calculator.

3√64= _________

4
• Question 6

Find this cube without using a calculator.

93 = _________

729
• Question 7

Find this cube without using a calculator.

(-7)3 = _________

-343
• Question 8

Find this cube without using a calculator.

0.23 = _________

0.008
• Question 9

Find this cube  without using a calculator.

(-6)3 = _________

-216
• Question 10

Find this cube without using a calculator.

(-0.3)3 = _________

-0.027
---- OR ----

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