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Technically, area and volume aren't necessarily squared and cubed. If you're talking about, well, squares and cubes, then this is true. In general, area is some form of length * width, and volume is some form of length * width * height.

But the reason why the units are squared and cubed is because the units effectively get "multiplied" with each other. So for example, if you have a rectangle that is 2 ft by 4 ft, you multiply (2 ft) * (4 ft) = 8 ft2. You always want to make sure your units are consistent with the operations that you perform on the numbers.

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Q: Why is the area squared and the volume cubed?
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