Use the image to answer the question.

An illustration shows a net diagram. The center of the diagram is a square with dashed lines marking its sides. Each side forms the base of one of four triangles extending outward from the square. The sides of the square measure 3 inches, and the perpendicular height of the triangular faces measures 5 inches.

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?

(1 point)
Responses

60 in.2
60 in. squared

69 in.2
69 in. squared

39 in.2
39 in. squared

30 in.2
30 in. squared
Skip to navigation

30 in.2

30 in. squared

To find the total surface area of the square pyramid, we need to find the area of each of the four triangles. Each triangle has a base of 3 inches and a height of 5 inches, so the area of each triangle is 0.5 * base * height = 0.5 * 3 * 5 = 7.5 square inches. Since there are four triangles, the total icing needed for the faces of the dessert is 4 * 7.5 = 30 square inches.