Cubes and Cube Roots-Important Questions

Cubes and Cube Roots

HOTS
1.   Is 9000 a perfect cube?
2.   By which smallest number should 42592 be divided so that the quotient is a perfect cube?
3.   Show that 46656 is a perfect cube.
4.   By which smallest number should 704 be divided to obtain a perfect cube?
5.   Find the cue root of 9197.
6.   Show that 384 is not a perfect cube.
7.   By which smallest number should 648 be multiplied so that the product is a perfect cube?
8.   Find the number whose cube is 27000.