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
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
Answers
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.
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.