Find and interpret volume of prisms and cylinders using correct units.
Put both solids into one comparable volume form
Problem
Solid A is an \(8~\text{cm}~by~5~\text{cm}~by~6~\text{cm}\) prism. Solid B has volume \((25\pi~)(6)~\text{cubic}~\text{centimeters}\). Calculate and compare \(\text{both}~\text{volumes}\).
Big Picture
What this problem is really about
Put both solids into total cubic centimeters before comparing. Multiply all three prism dimensions for one volume, and preserve the pi factor while multiplying the other solid’s given base area by its height. Converting the pi expression to a decimal—or bounding it with a simple estimate—makes the final size comparison meaningful.
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