**Cubes and Cube Roots**

Sample Paper

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

**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 cm^{3}.

**5.** If the surface area of a cube is 486 cm^{2}, 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.