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The volumes of two similar figures are given. The surface area of the smaller figure is given. Find the surface area of the larger figure. V = 27 in3 V = 125 in3 S.A. = 63 in2 a. 175 in2 c. 180 in2 b. 196 in2 d. 193 in2
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V_a = 27 in3 V_b = 125 in3 S.A._a = 63 in2 S.A._b = 63 * (125/27)^(2/3) = 63 * (5/3)^2 = 63 * 25/9 = 175 in2 So the answer is a.
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