To wrap the shoebox, Frank will need to cover all six sides of the box with wrapping paper.
First, let's calculate the area of each side:
1. Top and bottom sides (2 sides):
Length * Width = 11 in * 7 in = 77 sq in for each side (x2 sides)
Total area = 77 sq in * 2 = 154 sq in
2. Front and back sides (2 sides):
Length * Height = 11 in * 5 in = 55 sq in for each side (x2 sides)
Total area = 55 sq in * 2 = 110 sq in
3. Left and right sides (2 sides):
Width * Height = 7 in * 5 in = 35 sq in for each side (x2 sides)
Total area = 35 sq in * 2 = 70 sq in
Total wrapping paper needed = 154 sq in (top and bottom) + 110 sq in (front and back) + 70 sq in (left and right) = 334 sq in
Therefore, Frank will need 334 sq in of wrapping paper to cover the shoebox.