The volumes of two similar solids are 210 m3 and 1,680 m3. The surface area of the larger solid is 856 m2.What is the surface area of the smaller solid?

The volume ratio of the smaller solid to the larger solid is 210 ÷ 1,680 = 1/8. For similar solids, surface areas scale by the square of the linear scale factor, so the surface area ratio is (1/8)^(2/3) = 1/4. The smaller surface area is 856 × 1/4 = 214 m², so the answer is 214 m².

AI-written and checked against the verified answer.