Perfect Cube Calculator

Math

Perfect Cube Calculator — determine if a number is a perfect cube and find its cube root.

Formula

Cube Root: ∛n | Perfect Cube if (∛n)³ = n exactly
  • A perfect cube is an integer that equals another integer raised to the 3rd power (e.g., 8 = 2³, 27 = 3³).
  • Cube Root: ∛n extracts the base; if it's a whole number and cubed equals n, then n is a perfect cube.

Perfect Cube Example

Inputs
  • Number: 27

For input 27: cube root = 3, and 3³ = 27, so 27 is a perfect cube.

Frequently asked questions

What is a perfect cube?
A perfect cube is a whole number that equals another whole number multiplied by itself three times (e.g., 8 = 2×2×2).
How do I find the cube root?
The cube root of n is the number that, when multiplied by itself 3 times, equals n. For example, ∛27 = 3.
Are negative numbers perfect cubes?
Yes. For example, -8 = (-2)³, so -8 is a perfect cube.
What's the difference between square and cube?
A square multiplies a number by itself 2 times (n²). A cube multiplies a number by itself 3 times (n³).