Math

Perfect Cube Calculator

Check if a number is a perfect cube and find its cube root.

Calculated Output

Perfect cube? (1=yes, 0=no) 1

Cube root 3

Formula: Perfect cube ⟺ ∛n is an integer

Step-by-Step Breakdown

1. Values used:

2. Number = 27

4. Perfect cube? (1=yes, 0=no) = 1

5. Cube root = 3

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The math behind it

Take the (rounded) cube root and cube it again; if you recover the original number, it is a perfect cube.

27 = 3³, so 27 is a perfect cube with cube root 3.

Can negatives be perfect cubes?

Yes — −27 = (−3)³ is a perfect cube.