SOLUTION: The volumes of two similar solids, A and B, are in the ratio 1:64, respectively. What is the ratio of the surface area of solid A to the surface area of solid B? Express your answe
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Question 251907: The volumes of two similar solids, A and B, are in the ratio 1:64, respectively. What is the ratio of the surface area of solid A to the surface area of solid B? Express your answer as a common fraction.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The volumes of two similar solids, A and B, are in the ratio 1:64, respectively. What is the ratio of the surface area of solid A to the surface area of solid B? Express your answer as a common fraction.
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Volume is a function of the cube of the dimensions.
1:64 volume ratio --> 1:4 dimension ratio
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Surface area is a function of the square.
1:4 dimension ratio --> 1:16 surface area ratio
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Area of A is 1/16 the Area of B.
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