Question

If the side of a cube
is an integer, which
of the following can
be the volume of the
cube in cubic units?
1330
1624
1728
1864​

Answer 1

1728

Reason why?

Given that the side of the cube should be an integer. It means, decimal numbers, fractional numbers , irrational numbers won't be the side.

All numbers except 1728 have irrational cube roots. Since , (1728)^(1/3) = 12 or cube root of 1728 is 12 which is an integer.

Therefore, 1728 is the right answer.