Use the image to answer the question. 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 39 in.2 39 in. squared 69 in.2 69 in. squared 60 in.2
To find the total square inches of icing needed for the faces of the square pyramid dessert, we first need to calculate the total surface area of the net shown in the image.
The net consists of 4 identical triangles and 1 square.
The area of each triangle can be calculated using the formula: A = 0.5 * base * height
Given that the base of each triangle is 2 inches and the height is 3 inches (the height of the pyramid), the area of one triangle = 0.5 * 2 * 3 = 3 in^2
Since there are 4 identical triangles, the total area of all triangles = 4 * 3 = 12 in^2
The area of the square face of the pyramid can be calculated using the formula: A = side * side
Given that each side of the square is 2 inches (same as the base of the triangle), the area of the square face = 2 * 2 = 4 in^2
Adding the total area of the triangles and the square face together gives us the total surface area of the net: 12 in^2 + 4 in^2 = 16 in^2
Therefore, 16 square inches of icing are needed for the faces of the dessert.
The answer is not listed among the options provided, so it appears to be missing from the given choices.
choose one thats closest
In this case, the closest option among the provided choices would be:
30 in.2