Question

The topic of this problem is "Scale Factors". This is the information: Solid 1 has: * A surface area of 128 cm^2* A volume of 15360 cm^3 Solid 2 has: * An unknown surface area. * A volume of 6480 cm^3 I need to find the surface area of solid 2.

Answer 1

Let the unknown surface area be x

The ratio of the surface area to volume in solid 1 must be equal to the ratio of the surface area to volume in solid 2.

$\begin{gathered} \frac{128}{15360}=\frac{x}{6480} \\ \Rightarrow x=\frac{128}{15360}\times6480=54\text{ cm}^2 \end{gathered}$

Hence, the surface area of solid 2 is 54 cm^2