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OpenStudy (anonymous):
the volumes of two similar solids are 729m^3 and 125m^3. the surface area of the larger one is 324m^2. what is the surface area of the smaller one? A)500m^2 B) 56m^2 C)100m^2 D)200M^2
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OpenStudy (anonymous):
Volume ratios are cubes, area ratios are squares. The ratio of the volumes are 729:125 = 9^3:5^3, so the ratio of the areas would be 9^2:5^2 = 81:25 81 324 --- = ----- 25 x 81x = 8100 Solve for x.
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