SOLUTION: Is there a way, just using geometry (i.e. straight-edge & dividers) to find a square whose area is equal to the volume of a given cube?
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Question 480200: Is there a way, just using geometry (i.e. straight-edge & dividers) to find a square whose area is equal to the volume of a given cube? Answer by richard1234(7193) (Show Source):
You can put this solution on YOUR website! You can't compare a two-dimensional quantity with a three-dimensional quantity. In other words, you can't say "the area of the square is greater than the volume of the cube."
You can numerically compare them, but that would be meaningless because the units are relevant. For example, a square with side length 8 cm and a cube with edge length 4 cm numerically have the same area/volume. However, a square with side length .08 m and a cube with edge length .04 m do not.
