Problem 21 of 34geo-021
A closed gift box in the shape of a rectangular prism is inches long, inches wide, and inches tall. What is the least amount of wrapping paper, in square inches, needed to cover all six faces of the box with no overlap?
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Solution walkthrough1:29
- Covering the box means covering its surface. The surface area is the total area of all 6 rectangular faces.
- Three faces show. Front: . Top: . Side: .
- Each face has a matching face on the opposite side, so the total is .
- , and square inches.
- Traps: leaves out the hidden faces, is the volume, and treats all 6 faces as .