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The ratio of the lengths of corresponding parts in two similar solids is 4:1. What is the ratio of their surface areas?A.8:1B.64:1C.4:1D.16:1

Question

The ratio of the lengths of corresponding parts in two similar solids is 4:1. What is the ratio of their surface areas?A.8:1B.64:1C.4:1D.16:1

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Solution

The ratio of their surface areas is found by squaring the ratio of their corresponding lengths. So, if the ratio of their lengths is 4:1, the ratio of their surface areas is (4^2):(1^2) = 16:1. Therefore, the answer is D.16:1.

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