The two solids are similar, and the ratio between the lengths of their edges is 3:8. What is the ratio of their surface areas?A.27:512B.3:8C.6:16D.9:64
Question
The two solids are similar, and the ratio between the lengths of their edges is 3:8. What is the ratio of their surface areas?A.27:512B.3:8C.6:16D.9:64
Solution
The ratio of the surface areas of two similar solids is the square of the ratio of their corresponding lengths.
Given that the ratio of the lengths of their edges is 3:8, the ratio of their surface areas would be (3:8)^2 = 9:64.
So, the correct answer is D. 9:64.
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