Cubing A Number Calculator

Work out cubing a number instantly with clear inputs, formula shown and shareable results.

About Cubing A Number Calculator

Cubing multiplies a number by itself twice more. Unlike squaring, cubing preserves sign, so the cube of a negative number is negative.

Formulas

Cube

x³ = x × x × x

Difference of cubes

a³ − b³ = (a − b)(a² + ab + b²)

Worked example

With the default values below, Cubing A Number Calculator returns Cube of 343.000000. Change any input above and every figure here is recalculated in your browser.

Inputs used

Number: 7
Compare with the cube of: 8

Results

Cube: 343.000000
Cube of the comparison number: 512.000000
Difference of the cubes: 169.000000
Square for reference: 49.000000

Step by step

1Values used
2Cube
3Difference of cubes
4Cube= 343.000000
5Cube of the comparison number= 512.000000
6Difference of the cubes= 169.000000
7Square for reference= 49.000000

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 6 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

7³ and 8³?

343 and 512, differing by 169.

Why is (−3)³ negative?

Three negative factors multiply to a negative, whereas the even count in squaring cancels the sign.