Perfect Cube Calculator

Perfect Cube Calculator

Check whether a number is a perfect cube and review its cube root and nearest integer root.

Last updated: March 2026 | By ForgeCalc Engineering

Perfect Cube Solver

Cube root check

Analysis Steps

1.Input number: 27
2.Cube root = cbrt(27) = 3
3.Nearest whole root = 3
4.Check = 3^3 = 27
5.The number is a perfect cube.
Status
PERFECT

Cube root: 3

What a Perfect Cube Means

A perfect cube is a number that can be written as an integer multiplied by itself three times. It is the three-dimensional equivalent of a perfect square.

How to Check for a Perfect Cube

  1. Find the cube root of the number.
  2. Round the cube root to the nearest integer.
  3. Cube that rounded integer.
  4. If it matches the original number, it is a perfect cube.
perfect cube check = round(cbrt(n))^3

Worked Example

Example: 27 is a perfect cube because 3^3 = 27.

cbrt(27) = 3

Frequently Asked Questions

Can a perfect cube be negative?

Yes. Negative integers can also be perfect cubes.

Is zero a perfect cube?

Yes. Zero is a perfect cube because 0^3 = 0.

Does this accept decimals?

Yes. It checks any finite real value.

What if the root is not an integer?

Then the number is not a perfect cube.

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