Use the net as an aid to compute the surface area of the triangular prism.

Question

Responses
A 112
112 m 2
B 136
136 m 2
C 160
160 m 2
D 184
choose one

Answer 1

To compute the surface area of a triangular prism, we need to calculate the area of the two triangular bases and the three rectangular faces.

Let's assume the dimensions of the triangular prism are as follows:
- Base of the triangle: 8 m
- Height of the triangle: 6 m
- Length of the prism: 10 m

1. Area of the triangular base:
Area = 1/2 * base * height
Area = 1/2 * 8 m * 6 m
Area = 24 m^2

2. Surface area of one triangular base:
2 * 24 m^2 = 48 m^2

3. Area of one rectangular face:
Area = length * height
Area = 10 m * 6 m
Area = 60 m^2

4. Surface area of three rectangular faces:
3 * 60 m^2 = 180 m^2

5. Total surface area of the triangular prism:
48 m^2 (triangular base) + 180 m^2 (three rectangular faces) = 228 m^2

The closest option among the given choices is 184 m^2 (Option D).