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The volumes of two similar solids are 729 inches3 and 125 inches3. If the surface area of the smaller solid is 74.32 inches2, what is the surface area of the larger solid? Round to the nearest hundredth.
133.78 in.2
240.80 in.2
433.43 in.2
678.32 in.2
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Scale factor = cube root of (729/125) = 9/5 = 1.8.
Surface area scale = (9/5)^2 = 81/25 = 3.24.
Larger surface area = 74.32 × 3.24 = 240.7968 ≈ 240.80 in^2.
Answer: 240.80 in.^2
Surface area scale = (9/5)^2 = 81/25 = 3.24.
Larger surface area = 74.32 × 3.24 = 240.7968 ≈ 240.80 in^2.
Answer: 240.80 in.^2
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