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# Why do you use squares to measure surface area and cubes to measure volume?

Wiki User

2009-03-27 10:42:04

Imagine drawing a square on a piece of paper. Obviously, this drawing is in 2-D because although the picture has length and width, it has no height, or in other words, does not occupy space in the 3-D world.

However, the cube is in 3-D. It has all the properties of a three-dimensional object: it has length, it has width, and it has height. The cube occupies space throughout our world and is therefore a three-dimensional object.

Surface area is in 2-D. When we measure surface area, we do not measure thickness, or height. We only measure the length and width. Similarly, because the square has length and width but not height, it is used to measure surface area.

Volume, however, is in 3-D. When we measure volume, we also measure the space it occupies in our world. Similarly, the cube occupies space through our world. How could you draw a cube with a square when it has no thickness??? Therefore, we use squares to measure surface area and cubes for volume.

Wiki User

2009-03-27 10:42:04
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