I am a Sophomore taking chemistry for the first time, and our teacher assigned us some homework problems. Even though it's for a completion grade, I want to try to figure out the right answers, but I need some hints on some of them, particularly this one:
"To the alchemists, gold was the material representation of purity. It is a very soft metal that can be hammered into extremely thin sheets. If a 2g piece of gold is hammered into a sheet whose area is 42.8 sq. ft., what is the average thickness of the sheet? (The density of gold is 19.32 g/cm^3.)"
Okay, so I know that volume = base * height; and I know that density = mass/volume... but the area of the sheet of gold is in feet and the unit for density involves centimeters. How do I do dimensional analysis when one unit is squared and the other is cubed?