Shawn's wallet is falling apart. He wants to recover it with duct tape. If the cover of his wallet is 3 inches by 5 inches and it is 1 inch thick, how much duct tape is needed?

46 square inches.

Step-by-step explanation:

Given that:

The cover of the wallet is 3 inches by 5 inches It has a thickness of 1 inch

This is in the shape of a rectangular prism.

To find out how much duct tape Shawn will need, we find the total surface area of the wallet.

Total Surface Area of a rectangular prism = 2 (LB+LH+BH)

L=5 in., B=3in., H=1 in.

Therefore:

Total Surface Area of a rectangular prism = 2 (5*3+5*1+3*1)

=2 (15+5+3)

=2 (23)

=46 Square Inches

The amount of duct tape needed will be 46 square inches.