Using the surface area of a rectangular prism, it is found that she will need 366 square inches of wrapping paper to wrap the box.
He wraps the box with paper outside, hence, the amount needed is the surface area.
The surface area of a rectangular prism of length l, width w and height h is given by:
[tex]S = 2(lw + lh + wh)[/tex]
In this problem, the dimensions of 11 inches long, 8 inches wide, and 5 inches tall mean that [tex]l = 11, w = 8, h = 5[/tex]. Hence:
[tex]S = 2[11(8) + 11(5) + 8(5)] = 366[/tex]
She will need 366 square inches of wrapping paper to wrap the box.
You can learn more about the surface area of a rectangular prism at https://brainly.com/question/1310421