Question
Using the net of the triangular prism, what is its surface area?
10 mi.
26 mi.
24 mi.
10 mi.
10 mi.
26 mi.
24 mi.
10 mi.
Answers
GPT 3.5
The surface area of a triangular prism includes the area of the two triangular bases and the three rectangular faces.
The area of one triangular base is 1/2 * base * height, which is 1/2 * 4 * 3 = 6 square units. Since there are two triangular bases, the total area of the triangular bases is 6 * 2 = 12 square units.
The area of each rectangular face is length * width. In this case, the length of the rectangular faces is 4 units and the width is 3 units. There are three rectangular faces, so the total area of the three rectangular faces is 4 * 3 * 3 = 36 square units.
Adding the area of the triangular bases and the three rectangular faces gives a total surface area of 12 + 36 = 48 square units.
So, the surface area of the triangular prism is 48 square units, which is not one of the options provided.
The area of one triangular base is 1/2 * base * height, which is 1/2 * 4 * 3 = 6 square units. Since there are two triangular bases, the total area of the triangular bases is 6 * 2 = 12 square units.
The area of each rectangular face is length * width. In this case, the length of the rectangular faces is 4 units and the width is 3 units. There are three rectangular faces, so the total area of the three rectangular faces is 4 * 3 * 3 = 36 square units.
Adding the area of the triangular bases and the three rectangular faces gives a total surface area of 12 + 36 = 48 square units.
So, the surface area of the triangular prism is 48 square units, which is not one of the options provided.