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Perfect Cube Test — result sheet
Check whether a signed whole number is the cube of an integer.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: n is a perfect cube when its integer cube root r satisfies r x r x r = n.
The test preserves the sign of the input and compares a nearby integer cube root with the original whole number.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Whole number — minimum -1000000000000; maximum 1000000000000
Worked example
| Input | Value |
|---|---|
| Whole number | 125 |
125 is a perfect cube because its integer cube root is 5.
Assumptions and limits
- The input is a signed safe whole number.
- Negative perfect cubes are valid because integer cubes preserve sign.
- Only exact integer cubes are classified as perfect cubes.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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