Quickly Calculate the Cube of a Number

The cube of a number, written with ³, is a mathematical function whose result is the number multiplied by itself three times. For example, if A is a number, its cube, written A³, is equal to A * A * A. In short: A³ = A * A * A.

Negative and positive numbers

Unlike the square, the cube of a negative number remains negative. Indeed, since the number is multiplied by itself three times, the result keeps the negative sign (- * - = + but + * - = -). It is therefore important to note that the cube of a negative number is always equal to the opposite of the cube of the same positive number.

In short: A³ = A * A * A and (-A)³ = -A * -A * -A = -(A³). Let's take a concrete example with the number 3 => 3³ = 27 and (-3)³ = -27.

What is the link between the cube of a number and its cube root?

The cube root is, in a way, the opposite operation. Starting from a number A, it finds the number B which gives A when B is multiplied by itself three times. Put simply, A³ = ∛A³ * ∛A³ * ∛A³. Or even simpler: 3³ = 27 and ∛27 = 3. You can quickly calculate the cube root with this calculator.

Shortcuts

m ⇝ Clear

f ⇝ Save

Cubes of whole numbers (non-exhaustive list)

Cubes of the numbers 1 to 10.

• 1³ = 1
• 2³ = 8
• 3³ = 27
• 4³ = 64
• 5³ = 125
• 6³ = 216
• 7³ = 343
• 8³ = 512
• 9³ = 729
• 10³ = 1000

Uses of the cube of a number

Calculating the cube of a number is often used in geometry to determine the volume of a cube when the length of its sides is known.

In physics, it can be used to calculate quantities related to volumes, such as density or capacity.

In engineering, the cube of a number can be relevant in calculations related to material strength or fluid dynamics.

Finally, in computer science, some algorithms may require cube calculations for specific operations.

Results history

Saving lets you keep the calculations you make. You can save several numbers and their cubes and export them in PDF or CSV format.