Question

3 in 3 in 3 in 3 in

A chocolate dessert is in the shape of a square pyramid . The pyramid is represented with a net. How many square inches of icing are needed for the faces of the dessert?

30 in
39 in
69 in
60 in

Answer 1

[AI-generated answer — Bot GPT 3.5]

The net of a square pyramid consists of the square base and four triangular faces. The area of the square base is the side length squared, so for a square pyramid with a side length of 3 inches, the area of the base is 3 * 3 = 9 square inches.

Each triangular face of the pyramid is a right triangle with a base of 3 inches and a height of 3 inches (since it is the same as the side length of the square base). The area of a triangle is 1/2 * base * height, so each triangular face has an area of 1/2 * 3 * 3 = 4.5 square inches.

Since there are 4 triangular faces, the total area of icing needed for the faces of the dessert is 4 * 4.5 = 18 square inches.

Therefore, the correct answer is not listed, as the closest option is 30 in, which is incorrect. The correct answer is 18 in.