Final answer:
The amount of wrapping paper left over is 380 square inches.
Step-by-step explanation:
To find the amount of square inches of wrapping paper left over, we first need to calculate the total surface area of the rectangular prism-shaped box.
The formula to find the surface area of a rectangular prism is 2(length * width + length * height + width * height). In this case, the length is 9 inches, the width is 10 inches, and the height is 8 inches. Plugging in these values, we get:
2(9 * 10 + 9 * 8 + 10 * 8) = 2(90 + 72 + 80) = 2(242) = 484 square inches.
The sheet of rectangular-shaped wrapping paper that was used measures 2' x 3', which is equivalent to 24" x 36". To find the total area of the wrapping paper, we multiply the length by the width:
24" x 36" = 864 square inches.
To find the amount of wrapping paper left over, we subtract the total surface area of the box from the area of the wrapping paper:
864 square inches - 484 square inches = 380 square inches.