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?

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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