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The "square" of a number is named after the shape. Since the area of any rectangle is calculated by multiplying its width by its length, and a square has the same width as length, its area is calculated by multiplying that number by itself.

A = L x W

L = W ∴ A = L x L ∴ A = L2

Similarly, since a cube has equal length, width, and height, the volume of the cube is calculated in a similar manner, so a number to the third power is said to be "cubed."

V = L x W x H

L = W = H ∴ V = L x L x L ∴ V = L3

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Q: Why does a square equals a second power?
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