Find and interpret surface area of prisms and cylinders.
Add the face areas from a net
Problem
A net of a rectangular prism shows \(6~\text{rectangles}\) with these dimensions: \(8~\text{units}\) by \(3~\text{units}\), \(8~\text{units}\) by \(3~\text{units}\), \(8~\text{units}\) by \(5~\text{units}\), \(8~\text{units}\) by \(5~\text{units}\), \(3~\text{units}\) by \(5~\text{units}\), and \(3~\text{units}\) by \(5~\text{units}\). Find the total surface area of the prism in square units.
A net changes the arrangement of the faces but not their total area. Group the six visible rectangles into matching dimension pairs, multiply each rectangle’s side lengths, and double each distinct face area before adding. Tracking the pairs directly prevents both missing a repeated face and counting an extra one.
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