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One of the Famous Problems of Greek Antiquity Was the Duplication

Question 8

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One of the famous problems of Greek antiquity was the duplication of the cube; that is, creating a cube similar to but double the volume of an existing cube. What if you instead wish to triplicate the cube, building a cube with three times the volume of an existing cube? What would be the scaling factor? Assuming the original cube was 1 cubic unit, what would be the dimensions of the larger cube?

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