Apply density concepts based on area and volume in modeling situations.
Convert density units for area- or volume-based rates
Problem
How would you convert the density units in \(1~g/\text{cm}^3\) to \(\text{kg}/m^3\)?
Big Picture
What this problem is really about
Convert a compound density rate by handling its numerator and denominator separately. Apply the ordinary mass conversion upstairs, but cube the linear length conversion downstairs because volume contains three length factors. Reassemble the converted fraction only after both pieces are expressed in the target units; the powers of ten then combine through division.
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