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  1. Maths
  2. Year 8
  3. Powers and Roots
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Cubing Numbers and Cube Roots

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

'Cubing Numbers and Cube Roots' worksheet

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Understand Integer Powers/Real Roots

Difficulty level:  

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Worksheet Overview

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 = _________

  • ANSWERS
  • Question 1

Find this cube root without using a calculator.

 

3√1000 = _________

CORRECT ANSWER
10
  • ANSWERS
  • Question 2

Find this cube root without using a calculator.

 

3√125= _________

CORRECT ANSWER
5
  • ANSWERS
  • Question 3

Find this cube root without using a calculator.

 

3√1= _________

CORRECT ANSWER
1
  • ANSWERS
  • Question 4

Find this cube root without using a calculator.

 

3√8= _________

CORRECT ANSWER
2
  • ANSWERS
  • Question 5

Find this cube root without using a calculator.

 

3√64= _________

CORRECT ANSWER
4
  • ANSWERS
  • Question 6

Find this cube without using a calculator.

 

93 = _________

CORRECT ANSWER
729
  • ANSWERS
  • Question 7

Find this cube without using a calculator.

(-7)3 = _________

CORRECT ANSWER
-343
  • ANSWERS
  • Question 8

Find this cube without using a calculator.

 

0.23 = _________

CORRECT ANSWER
0.008
  • ANSWERS
  • Question 9

Find this cube  without using a calculator.

 

(-6)3 = _________

CORRECT ANSWER
-216
  • ANSWERS
  • Question 10

Find this cube without using a calculator.

(-0.3)3 = _________

CORRECT ANSWER
-0.027
---- OR ----

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