Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
Use volume with unit conversion
Problem
A rectangular box is \(2~\text{ft}\) by \(3~\text{ft}\) by \(4~\text{ft}\). What is its volume in cubic inches?
Big Picture
What this problem is really about
A linear conversion factor acts once in each independent direction, so a volume conversion must use its third power. We’ll find the box’s volume in the given units, cube the feet-to-inches factor with explicit unit cancellation, and cross-check by converting all three edge lengths before multiplying.
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