Use geometric methods to solve design problems under constraints such as cost, space, or ratios.
Find total mass or load from a density or capacity rate and an area or volume
Problem
A tank has volume \(4~m^3\) and will be filled with water with density \(1000~\text{kg}/m^3\). What mass of water can the tank hold?
Big Picture
What this problem is really about
Treat density as an amount assigned to each unit of volume. Multiply the per-volume rate by the filled volume, using compatible units, so the cubic units cancel and leave the requested total amount. That unit cancellation confirms both the operation and the interpretation.
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