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26 July, 13:19

Two similar pyramids have lateral areas 8ft^2 and 18 ft^2. the volume of the large pyramid is 108 ft^2. find the volume of the smaller pyramid.

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  1. 26 July, 13:28
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    I assume the volume of the larger pyramid is 108 ft^3, not 108 ft^2.

    The scale factor of edges of two solids is x.

    The scale factor of their areas is x^2.

    The scale factor of their volumes is x^3

    The areas have a scale factor of 18/8 = 2.25

    The length have a scale factor of sqrt (2.25) = 1.5

    The volumes have a scale factor of 3.375

    108/3.375 = 32

    Answer: 32 ft^3
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