Q:

What is an example of a whole number that equals 25 when it is squared and 125 when it is cubed?

A:

The number 5 is a whole number that equals 25 when it is squared and 125 when it is cubed. Five is the only number, whole or otherwise, that satisfies both of these criteria.

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To square a number, multiply it by itself. Five squared is 5 times 5, which equals 25. A number cubed is multiplied by itself twice: 5 times 5 times 5 is 5 cubed, which equals 125. The terms "squared" and "cubed" come from the formulas for calculating the area of a square and the volume of a cube. The area of a square is the length of its sides squared; the volume of a cube is the length of its sides cubed.

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