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Mathematics 20 Online
OpenStudy (anonymous):

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

OpenStudy (turingtest):

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.

OpenStudy (anonymous):

I got 1.39 x 10^-6 so I was checking to see if that was correct.

OpenStudy (turingtest):

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)

OpenStudy (turingtest):

what units is your answer in?

OpenStudy (anonymous):

cm

OpenStudy (anonymous):

Damn alright. Hopefully I just multiplied something wrong somewhere so I can get partial credit.

OpenStudy (turingtest):

never mind I screwed up the conversion like I thought I would... you were right all along :D

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