Identify \(\text{every}~\text{card}\) that represents a total surface area of \(94~\text{square}~\text{units}\).
Card 1: A rectangular prism with dimensions \(3~\text{units}\) by \(4~\text{units}\) by \(7~\text{units}\).
Card 2: A rectangular-prism net made of \(\text{two}\) \(5\text{-}by-6\) rectangles, \(\text{two}\) \(5\text{-}by-2\) rectangles, and \(\text{two}\) \(6\text{-}by-2\) rectangles.
Card 3: The expression \(2(8~\times~3)~+~2(8~\times~2)~+~2(3~\times~2)~+~2\).
Card 4: A closed cylinder with radius \(3~\text{units}\) and height \(4~\text{units}\).
Card 5: A box with dimensions \(5~\text{units}\) by \(6~\text{units}\) by \(2~\text{units}\), with \(\text{all}\) \(6\) faces included.
Card 6: A rectangular prism with dimensions \(4~\text{units}\) by \(5~\text{units}\) by \(3~\text{units}\), with \(\text{every}~\text{face}\) counted except the \(\text{two}\) \(4\text{-}by-5\) faces.
What this problem is really about
Use the target as an exact test and evaluate every representation independently. For prisms and nets, count each included rectangular face once; for a closed cylinder, include both circular bases and the curved side; and for a stated expression, preserve its operations. Excluded faces must stay out, and a nearby numerical result is not an exact match.