Find and interpret surface area of prisms and cylinders.
Turn a solid into a surface-area setup
Problem
A rectangular prism has length \(9~\text{cm}\), width \(4~\text{cm}\), and height \(6~\text{cm}\). Write an unsimplified surface-area expression that shows \(\text{all}~\text{pairs}~\text{of}~\text{matching}~\text{faces}\).
Big Picture
What this problem is really about
Imagine unfolding the closed prism to expose its six rectangular faces. Each pair of dimensions creates one face type, and each type occurs twice on opposite sides, so write three doubled products using the supplied lengths and units. Because the task requests an unsimplified expression, stop once all six faces are represented exactly once.
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