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31 May, 02:16

The volumes of two similar solids are 512 cm3 and 2,197 cm3. If the smaller solid has a surface area of 960 cm2, find the surface area of the larger solid.

Find the similarity ratio by taking the cube root of each volume.

I believe it is 8 to 13 is that correct?

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  1. 31 May, 02:48
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    We are asked to find the area of the larger solid and we can make use of the formula below:

    surface smaller / surface larger = volume smaller / volume larger

    surface smaller = 960 cm²

    volume smaller = 512 m³ where cube root is 8³

    surface larger = ?

    volume larger = 2196 where cube root is 13³

    Solving for surface larger, we have:

    960 / A = 8² / 13²

    960 * 13² = 8²*A

    A = 2535 cm²

    The answer for the larger solid is 2,535 cm³.
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