the base edges of two square pyramids are in the ratio 1:2 and their heights in the ratio 1 : 3. the volume of the first is 180 cubic entimeters. what is volume of the second?
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Answer:Determine whether each pair of solids is similar,congruent, or neither. If the solids are similar,state the scale factor.1. SOLUTION: Ratio of radii: Ratio of heights: The ratios of the corresponding measures are equal,so the solids are similar. The scale factor is 4:3. Sincethe scale factor is not 1:1, the solids are notcongruent.ANSWER: similar; 4:32. SOLUTION: The base of one pyramid is a quadrilateral, while thebase of the other is a triangle, so they are neithercongruent nor similar.
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