“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.