Perfect Cube?
About this exercise
Checking whether a number can be written as a whole number cubed.
Example problems
A few of the problems this exercise asks. The printable worksheet holds ten fresh ones.
- Is 330 a perfect cube?
- Is 32 a perfect cube?
- Is 64 a perfect cube?
- Is 40 a perfect cube?
Try it yourself first — open a section below only if you get stuck.
How to solve it
Hold it against the list of cubes: 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000. Cubes thin out much faster than squares.
Worked example
931 lies between 729 and 1000, so it is not a perfect cube.
Common mistake
Confusing cubes with squares. 64 belongs to both lists, but 36 is only a square.