trouble remembering some conversions...

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DrJMR

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1 cc=1cm^3=1mL=.001L
So, 1cc=.001L

Any ways to remember this by dimensional analysis? I seem to be off by a few decimal points every time.

Similarity, if I'm given a 5 cm^2 cross sectional area, how can I convert that into m^2?

I know it's probably simple, but I'm having trouble remembering how to go about solving this without pure memorization between units. If all I know is 1cm=1^-2m, what steps would I have to take.
 
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