Perfect Cube Checker Calculator

Work out perfect cube checker instantly with clear inputs, formula shown and shareable results.

About Perfect Cube Checker Calculator

A perfect cube is the cube of an integer. Because cubing preserves sign, negative perfect cubes such as −8 = (−2)³ exist too.

Formula

Perfect cube test

v is a perfect cube if round(∛v)³ = v

Worked example

With the default values below, Perfect Cube Checker Calculator returns Result of Yes, 1728 = 12³. Change any input above and every figure here is recalculated in your browser.

Inputs used

Number to test: 1,728
Also count perfect cubes up tominimum 1: 1,000

Results

Result: Yes, 1728 = 12³
Cube root: 12.00000000
Nearest perfect cube: 1,728
Perfect cubes from 1 to the limit: 10

Step by step

1Values used
2Perfect cube test
3Result= Yes, 1728 = 12³
4Cube root= 12.00000000
5Nearest perfect cube= 1,728
6Perfect cubes from 1 to the limit= 10

Assumptions and limits

The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
Figures are rounded for display to 8 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

Is 1728 a perfect cube?

Yes, 1728 = 12³ — a gross, in old measure.

How many perfect cubes up to 1000?

Ten: 1, 8, 27, 64, 125, 216, 343, 512, 729 and 1000.