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Cube Calculator x³

Cube Calculator x³
Enter a Value to be Cubed

\( ^3 = \; ? \)
Answer:
\[4^3 = 64 \]
Solution:

\[4^3 = 4 \times 4 \times 4 = 64 \]

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Calculator Use

Find the cubed value of a number n. Enter positive or negative whole numbers or decimal numbers or scientific E notation.

Cubing Negative Numbers

When you cube negative numbers the answer will always be negative. In this calculator you do not need to use parentheses with your input because you will still get the correct answer although, you should be aware that below is how your inputs are actually interpreted by the calculator.

  • -2³ means -(2 × 2 × 2) = -8
  • -(2)³ means -(2 × 2 × 2) = -8
  • (-2)³ means (-2 × -2 × -2) = -8

When an exponent expression is written with a positive value such a 4³ it is easy for most anyone to understand this means 4 × 4 × 4 = 64

However, when the value to be operated on by the exponent is written as a negative value without parentheses the meaning is ambiguous. It has a different meaning to different people.

Different possible interpretations of -4³:

1. negative of (4 cubed) or -(4)³ = -(4 × 4 × 4) = -64

2. (negative 4) cubed or (-4)³ = (-4 × -4 × -4) = -64

Use parentheses to clearly indicate which calculation you really want to happen. Parentheses don't change your results when the exponent is odd like a 3 but it makes a clear difference when your exponent is even like a 2. Square Calculator for -4²

Cubed

A number n cubed is written as n³ and n³ = n × n × n. If n is an integer then n³ is a perfect cube.

For example, 3 cubed is written as 3³ and 3³ = 3 × 3 × 3 = 27. 27 is a perfect cube.

Numbers 0 through 10 cubed and the resulting perfect cubes

  • 0 cubed is 0³ = 0 × 0 × 0 = 0
  • 1 cubed is 1³ = 1 × 1 × 1 = 1
  • 2 cubed is 2³ = 2 × 2 × 2 = 8
  • 3 cubed is 3³ = 3 × 3 × 3 = 27
  • 4 cubed is 4³ = 4 × 4 × 4 = 64
  • 5 cubed is 5³ = 5 × 5 × 5 = 125
  • 6 cubed is 6³ = 6 × 6 × 6 = 216
  • 7 cubed is 7³ = 7 × 7 × 7 = 343
  • 8 cubed is 8³ = 8 × 8 × 8 = 512
  • 9 cubed is 9³ = 9 × 9 × 9 = 729
  • 10 cubed is 10³ = 10 × 10 × 10 = 1000

Additional Reading

Wikipedia "Cube (algebra)" at https://en.wikipedia.org/wiki/Cube_(algebra)

Wikipedia "Cube" at https://en.wikipedia.org/wiki/Cube

 

Cite this content, page or calculator as:

Furey, Edward "Cube Calculator x³"; CalculatorSoup, https://www.calculatorsoup.com - Online Calculators

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