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1 November, 17:52

the surface area of two similar figures are 25 in ^2 and 36 in ^2 if the volume of the smaller figure is 250 in ^3 then what is the volume of the larger figure?

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  1. 1 November, 20:54
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    432 in^3

    Step-by-step explanation:

    The ratio of linear dimensions is the square root of the ratio of the areas, so is ...

    scale factor = √ (36/25) = 6/5

    The ratio of volumes is the cube of the ratio of linear dimensions, so is ...

    volume ratio = (scale factor) ^3 = (6/5) ^3 = 216/125

    Then the volume of the larger figure is ...

    larger volume = (250 in^3) · (216/125) = 432 in^3
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