Find which of the following numbers are cubes of rational numbers:

(i)

(ii)

(iii) 0.001331

(iv) 0.04

(i)

We have,

=

Hence,

(ii)

We have,

=

Hence,

(iii) 0.001331

We have,

=

Hence, 0.001331 is a perfect cube of

(iv) 0.04

We have,

=

Hence, 0.04 is not a perfect cube.