Question

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If two pyramids are similar and the ratio between the lengths of their edges is 4:9, what is the ratio of their volumes?

Answer 1

$\dfrac{Volume_1}{Volume_2} = (\dfrac{Length_1}{Length_2} )^3$

$\dfrac{Volume_1}{Volume_2} = (\dfrac{4}{9} )^3$

$\dfrac{Volume_1}{Volume_2} = \dfrac{64}{729}$


Answer: Ratio = 64 : 729