What is the surface area of the three-dimensional figure represented by this net?
The net pattern has a square base of side lengths 3 inches, 3 inches, 3 inches and 3 inches are attached with four congruent triangles of height 8 inches.
A.
57 square inches
B.
60 square inches
C.
105 square inches
D.
108 square inches
The surface area of this three-dimensional figure can be calculated by finding the area of each individual face and then adding them together.
The square base has side lengths of 3 inches, so its area is 3 * 3 = 9 square inches.
There are four congruent triangles with a height of 8 inches and a base of 3 inches. The area of each triangle can be calculated as (1/2) * base * height = (1/2) * 3 * 8 = 12 square inches. Since there are four of these triangles, the total area of the triangles is 4 * 12 = 48 square inches.
To find the total surface area, we can add the area of the base and the triangles: 9 + 48 = 57 square inches.
Therefore, the surface area of the three-dimensional figure represented by this net is 57 square inches.
The answer is A. 57 square inches.