### Home > CCG > Chapter 10 > Lesson 10.2.1 > Problem 10-69

“*I won’t have that kind of money until I sell my nugget, and then I won’t need it analyzed!”* Erica says.

“*Wait, Erica. Don’t worry. I’m pretty sure we can get all the information we need for only $.”*

Explain how they can get all the information they need for $

.Since the two nuggets are similar, if they spend $

to get Ken's nugget analyzed, they can calculate the surface area and weight of Erica's nuggets using the ratios of similarity.

If Ken’s nugget has a surface area of

, what is the surface area of Erica’s nugget? We know the linear scale factor is

, so the ratio of the areas is , . If Ken’s nugget weighs

g (about oz), what is the weight of Erica’s nugget? Since the nuggets are solid gold and have the same density throughout, calculate the weight using the ratio of the volumes.