1. A cube has one face that is equal to the total surface area of another cube. Find the ratio of their volumes.
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Expert's answer
2013-01-29T11:25:27-0500
Surface area of a cube S: S = 6 a^2 a is the length of the side of each edge of the cube Surface area of one face of a cube S1: S1 = a'^2 a' is the length of the side if S1 = S 6 a^2 = a'^2 a'/a = Sqrt[6] Volume of a cube V = a^3 Therefore V'/V = (a'/a)^3 = 6^(3/2) Answer: 6^(3/2)
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