Question

Frank got a gift for his sister and put it in a shoebox.



Note: Figure is not drawn to scale.

Now, he wants to wrap it with wrapping paper. If the length of the shoebox measures 11 in, the width measures 7 in, and the height measures 5 in, how much wrapping paper does he need to cover the shoebox?

Answer 1

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.