The given problem can be exemplified in the following diagram:
The amount of paper needed to wrap the box is equivalent to the surface area of the box.. the surface area is equivalent to the sum of the areas of each face. Therefore, the surface area is:
[tex]A=2(12)(7)+2(8)(7)+2(12)(8)[/tex]
Each term is multiplied by two representing the two faces of the corresponding area:
Solving the operations:
[tex]A=472[/tex]
Therefore, 472 square inches of wrapping paper is needed.
