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Because that is part of the definition of areas and volumes. You can't have a volume in only one or two dimensions, just as you can't have area in only one dimension.

In order to understand that, lets simplify. Area is 2 dimentional, width and height, while volume is 3 dimentional, width, height, and depth.

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14y ago
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Q: Why is area always square units and volume are always cubed units?
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