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
30 in.2
39 in.2
60 in.2
69 in.2
The net consists of 4 triangular faces. Each triangle has a base of 3 inches and a height of 5 inches.
The area of each triangle can be calculated using the formula for the area of a triangle: 1/2 * base * height.
The area of each triangle is (1/2) * 3 * 5 = 7.5 square inches.
Since there are 4 identical triangles, the total area of icing needed for the faces of the dessert is 4 * 7.5 = 30 square inches.
Therefore, the correct answer is 30 in.2.