You are shipping a gift to your grandmother. The gift fits in a box that is shaped as a right rectangular prism with a length of 24 inches, a width of 18 inches, and a height of 12 inches. Apply the surface area formula to find the number of square inches of shipping paper that you need to cover the box for shipping.(1 point)

Responses

5,184 cubic inches
5,184 cubic inches

1,872 inches
1,872 inches

432 square inches
432 square inches

1,872 square inches
1,872 square inches

1 answer

The surface area of a rectangular prism is found by adding up the areas of all six faces.

Surface Area = 2lw + 2lh + 2wh
Surface Area = 2(24)(18) + 2(24)(12) + 2(18)(12)
Surface Area = 2(432) + 2(288) + 2(216)
Surface Area = 864 + 576 + 432
Surface Area = 1,872 square inches

Therefore, you need 1,872 square inches of shipping paper to cover the box for shipping.