Question

How many numbers between 100 to 10000 which are in the form `n^3` ?

Answer 1

There are `17` cubic numbers.

Explanation:

First find the highest cube less than `100`

`root3(100) = 4.64....`

`4^3 =64`

The first cube bigger than `10,000:`

`root3(10,000) = 21.54.......`

Therefore all the cubes from `5^3` to `21^3` lie between `10 and 10,000`

There are `21-4 =17` cubic numbers