Between which of the following pairs of numbers does the:

Cube root of $20$ lie?

Find the smallest number by which each of the following number must be multiplied to obtain a perfect cube.

$243$

Find the smallest number by which each of the following number must be multiplied to obtain a perfect cube.

$256$

Find the smallest number by which each of the following number must be multiplied to obtain a perfect cube.

$72$

Find the smallest number by which each of the following number must be multiplied to obtain a perfect cube.

$675$

Find the smallest number by which each of the following number must be multiplied to obtain a perfect cube.

$100$

Find the smallest number by which each of the following number must be divided to obtain a perfect cube.

$81$

Find the smallest number by which each of the following number must be divided to obtain a perfect cube.

$128$

Find the smallest number by which each of the following number must be divided to obtain a perfect cube.

$135$