1. Perfect Cubes

2. Introduction
A number is called a perfect cube if it is expressed as the cube of a number.
The numbers 1, 8, 27, 64, etc are called perfect cubes
1 = 13, 8 = 23, 27 = 33, 64 = 43 and so on.

3. Example 1: Is 64 a perfect cube?
Solution
64 = 2 x 2 x 2 x 2 x 2 x 2
= 23 x 23
= (2 x 2) 3
= 4 3
Therefore 64 is a perfect cube

4. Example 2: Is 500 a perfect cube
Example 2: Is 500 a perfect cube? Solution 500 = 2 x 2 x 5 x 5 x 5 Here 2 x 2 remains after grouping the 5’s in triplets So, 500 is not a perfect cube.

5. Try these
Which of the following is a perfect cube 125 , 512 , 1728 , 3000