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.