Question
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
30 in. squared
69 in.2
69 in. squared
60 in.2
60 in. squared
39 in.2
The area of each triangular face of the dessert can be calculated using the formula for the area of a triangle: 1/2 * base * height.
The base of each triangle is 3 inches and the height is 5 inches, so the area of each triangle is 1/2 * 3 * 5 = 7.5 square inches. Since there are 4 triangular faces on the dessert, the total area of icing needed for the faces is 4 * 7.5 = 30 square inches.
Therefore, the correct answer is:
30 in.2