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two similar pyramids have lateral areas of 20 ft^2 and 45 ft^2. the volume of the smaller pyramid is 8ft^3. what is the volume of the larger pyram
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areas come with the square, volume with the cube. original ratio is \[\frac{20}{45}=\frac{4}{9}\] the square root of that is \[\frac{2}{3}\] and the cube is \[\frac{8}{27}\] so that is the the ratio of the volume. so take \[8\times \frac{27}{8}=27\] is the answer
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