Science Fair Project Encyclopedia
Perfect cube
In mathematics, a perfect cube or cube number, is an integer that can be written as the cube (arithmetic) of some other integer. So for example, 8 is a cube number since it can be written as 2 × 2 × 2. Different from a square number, there is no smallest cube number, since negative integers are included. For example, (−4) × (−4) × (−4) = −64.
Some cube numbers are also square numbers, for example 64 is a square number (8 × 8) and a cube number (4 × 4 × 4); this happens if and only if it is a perfect sixth power.
The number m is a perfect if and only if one can arrange m points in a cube, for example 3 × 3 × 3 = 27 below:
* * */ * * * / + * * * / + + X X X |+ + + X X X |+ + X X X |+
See also list of perfect cubes.
Last updated: 08-15-2005 04:50:23
10-26-2009 08:16:03
The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details
The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details