Apply density concepts based on area and volume in modeling situations.
Find the volumetric density of a composite solid by dividing mass by total volume
Problem
What is the volumetric density of this composite solid: mass \(600~g\); volume is a \(100~\text{cm}^3\) cylinder plus a \(50~\text{cm}^3\) prism?
Big Picture
What this problem is really about
A composite object's density uses the mass and volume of the whole object, not either component in isolation. First combine all nonoverlapping component volumes in compatible cubic units, then divide the total mass by that total volume. The final compound unit should read mass per cubic unit, confirming that the complete composite volume was used as the denominator.
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