SOLUTION: two pyramids are similar. the slant height of the smaller pyramid is 12cm and the slant height of the larger pyramid is 18cm. if the volume of the larger pyramid is 108cm3 what is

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Question 1036804: two pyramids are similar. the slant height of the smaller pyramid is 12cm and the slant height of the larger pyramid is 18cm. if the volume of the larger pyramid is 108cm3 what is the volume of the smaller pyramid
Answer by ikleyn(52781) About Me  (Show Source):
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two pyramids are similar. the slant height of the smaller pyramid is 12cm and the slant height of the larger pyramid is 18 cm.
if the volume of the larger pyramid is 108 cm3 what is the volume of the smaller pyramid
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From the condition, the similarity coefficient is 2%2F3 (smaller to larger).

Hence, he volume of the smaller pyramid is %282%2F3%29%5E3 of the volume of the larger pyramid, i.e.

108%2A%282%2F3%29%5E3 = %28108%2A8%29%2F27 = 4*8 = 32 cm%5E3.