Cube (algebra)
product of a number being raised to the third power
In arithmetic and algebra, the cube of a number n is its third power, that is, the result of multiplying three instances of n together.
The cube of a number n is denoted n3, using a superscript 3, for example 23 = 8. The cube operation can also be defined for any other mathematical expression, for example (x + 1)3.
The cube is also the number multiplied by its square:
n3 = n × n2 = n × n × n.
The cube function is the function x ↦ x3 (often denoted y = x3) that maps a number to its cube. It is an odd function, as
(−n)3 = −(n3).
The volume of a geometric cube is the cube of its side length, giving rise to the name. The inverse operation that consists of finding a number whose cube is n is called extracting the cube root of n. It determines the side of the cube of a given volume. It is also n raised to the one-third power.
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This entry incorporates text from “Cube (algebra)” on English Wikipedia. Contributors are listed in the page history. Text is available under the Creative Commons Attribution-ShareAlike 4.0 License. Selected authority identifiers and statements are retrieved from Wikidata under CC0; their references and qualifiers remain part of the verification path.