Question

You are wrapping a birthday gift that is packaged in a specially made pyramid-shaped box. The base of the box measures 10 inches by 9 inches and the slant height is 6 inches. How much paper do you need to wrap the box

Answer 1

To wrap the pyramid-shaped box, you will need 204 square inches of paper.

Step-by-step explanation:

To calculate the amount of paper needed to wrap the pyramid-shaped box, we need to find the surface area of the box.

First, let's calculate the lateral surface area of the pyramid. The lateral surface area can be found by multiplying the perimeter of the base by half of the slant height. The perimeter of the base is 2 times the sum of the length and width of the base, which is (2 × 10) + (2 × 9) = 38 inches.

The lateral surface area is then (38 × 6) / 2 = 114 square inches. Finally, add the area of the base to the lateral surface area to get the total surface area, which is 114 + (10 × 9) = 204 square inches. Therefore, you need 204 square inches of paper to wrap the box.