Apply density concepts based on area and volume in modeling situations.
Find or compare density by dividing a quantity by area
Problem
Compare the densities of Object A, with mass \(20~g\) and volume \(4~\text{cm}^{3}\), and Object B, with mass \(45~g\) and volume \(15~\text{cm}^{3}\).
Big Picture
What this problem is really about
Raw totals cannot establish which object is denser because each mass is spread through a different volume. Normalize both objects by computing mass per unit volume with the same compound units, then compare those unit rates directly. The larger rate identifies the object that packs more mass into each cubic unit.
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