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| CUBE > noun [mathematics] the product of a number multiplied by its square, represented by superscript figure 3. [The New Oxford Dictionary Of English] |
Cube numbers are the result of multiplying a number by itself twice: 13 = (1x1x1) = 1, 23 = (2 x 2 x 2) = 8, 33 = (3 x 3 x 3) = 27, and so on. The small 3 means 'cubed' and when using computers it is some times not possible to use a 3 so instead of writing 23 we would use 2^3, the ^ stands for to the power of, so ^3 means to the power of 3 or cubed.)
The cube of 4 is 64, and working backward, we say the cube root of 64 is 4.
If you use cube-shaped blocks to build a larger cube, the number of blocks you need is a cube number. For example, if you want to build a 1 metre cube using 1cm cubes how many do you need?
As there are 100cm in a metre you will need 100 x 100 x 100 = 1003 = 1,000,000 centimetre cubes. Therefore there 1,000,000 cubic centimetres in a cubic metre
The first 4 cube numbers are
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1 | = 1 x 1 x 1 | |
| 8 | = 2 x 2 x 2 | ||
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27 |
= 3 x 3 x 3 | ||
| 64 | = 4 x 4 x 4 |
Appendix
The first 100 cubic numbers
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This page was last updated on 05-07-2005. |
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