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Perfect Cube
See It in Action
Two examples of the idea done right—and one common look-alike that is not right.
EXAMPLE
EXAMPLE
NON-EXAMPLE
Definition
A perfect cube in math is a number that can be expressed as the cube of an integer. In other words, it is a number that results from multiplying an integer by itself three times.
Mathematically, a number x is a perfect cube if there exists an integer n such that:
x = n^3
For example:
8 is a perfect cube because 2^3 = 8.
27 is a perfect cube because 3^3 = 27.
-64 is a perfect cube because -4^3 = -64.
The perfect cubes of the first few integers are:
1^3 = 1, 2^3 = 8, 3^3 = 27, 4^3 = 64, 5^3 = 125, …
Perfect cubes can be positive or negative, depending on whether the integer being cubed is positive or negative.
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