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
39 in.2
39 in. squared
69 in.2
69 in. squared
30 in.2
30 in. squared
60 in.2
60 in. squared
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30 in.2 (30 square inches)
Each face of the square pyramid would be one of the triangular faces on the net diagram, which has a base of 3 inches and perpendicular height of 5 inches. Therefore, the area of each face would be (1/2) * base * height = (1/2) * 3 * 5 = 7.5 square inches. Since the pyramid has 4 faces, the total area of icing needed would be 4 * 7.5 = 30 square inches.