Cubes and Cube Roots-Sample Questions

1.   What is the smallest number by which 288 must be multiplied so the product is a perfect cube?

2.   Find the cube of 4/5.

3.   Show that 0.001728 is a cube root of a rational number.

4.   Find the sides of a cubical box whose volume is 64 cm³.

5.   If the surface area of a cube is 486 cm², find its volume.

6.   Find the volume of a cube whose surface area is 96 cm2.

7.   Write all the digits that would appear as the last digits of their respective cubes.

8.   Show that if a number is doubled, then it cube becomes eight times the cube of the given number.