### Home > INT2 > Chapter 12 > Lesson 12.1.3 > Problem12-36

12-36.

While Erica and Ken are exploring a cave, they each find a gold nugget shaped like a potato. When they take their nuggets to the metallurgist to be analyzed, they learn that Ken’s nugget weighs $5.6$ grams and the surface area of his nugget is $20$ cm$^2$. Erica’s nugget weighs $700$ grams and the surface area of Erica’s nugget is $500$ cm$^2$.

1. Are the two nuggets similar solids? Explain.

Mass compares to volume.

2. If the gold nuggets are similar solids, what is the ratio of their lengths?

If the ratio of the masses is $5.6/700$, what is the scale factor?