Asked by Dino cat
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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 face 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 face of the dessert
30 in
39 in
69 in
60 in
Answers
Answered by
GPT 3.5
The total surface area of a square pyramid can be calculated by adding the area of the base (which is a square) to the area of the four triangular faces.
If each side of the square base is 3 inches, then the area of the base is 3 * 3 = 9 square inches.
Each triangular face is a right triangle with a base of 3 inches and a height of 3 inches. The area of each triangular face is 0.5 * base * height, so each face has an area of 0.5 * 3 * 3 = 4.5 square inches. Since there are four triangular faces, the total area of the triangular faces is 4 * 4.5 = 18 square inches.
Adding the area of the base and the area of the triangular faces gives a total surface area of 9 + 18 = 27 square inches.
Therefore, the correct answer is not provided in the options given.
If each side of the square base is 3 inches, then the area of the base is 3 * 3 = 9 square inches.
Each triangular face is a right triangle with a base of 3 inches and a height of 3 inches. The area of each triangular face is 0.5 * base * height, so each face has an area of 0.5 * 3 * 3 = 4.5 square inches. Since there are four triangular faces, the total area of the triangular faces is 4 * 4.5 = 18 square inches.
Adding the area of the base and the area of the triangular faces gives a total surface area of 9 + 18 = 27 square inches.
Therefore, the correct answer is not provided in the options given.