If you were to flatten 1g piece of gold into a 40 sq ft piece. what would be the avg thickness of the sheet? Density of Gold = 19.3 g/cm 3
The only annoying thing about this is changing the units to be either all metric or English Density is given by\[d=\frac mV\]where m is the mass and V is the volume of the piece of material In your case we have a large, thin, box shape with a square base. The formula for the volume of a rectangular solid is\[V=\ell w h\]because it has a square base this becomes\[V=w^2h\]where w is the width of the base, and h is the thickness of the sheet. We can use these two formulas to solve for h:\[d=\frac mV=\frac m{w^2h}\to h=\frac m{w^2d}\]Now you can just plug in the numbers Again, don't forget to convert the units to be all the same. I'll leave that to you.
I got 1.39 x 10^-6 so I was checking to see if that was correct.
ok let me bust out the calculator... (in the future please post the answer you got in the original question so we can save time explaining if you're right)
what units is your answer in?
cm
Damn alright. Hopefully I just multiplied something wrong somewhere so I can get partial credit.
never mind I screwed up the conversion like I thought I would... you were right all along :D
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