4 m

Question

3.4 m
4 m
4 m
8 m
What is the surface area of the triangular prism whose net is shown below? Round the answer to the nearest hundredth.

Answer 1

To find the surface area of a triangular prism, we need to find the areas of all the faces and add them together.

In the net provided, the triangular bases have dimensions of 4m x 3.4m. The area of each triangular base is (1/2) x base x height = (1/2) x 4m x 3.4m = 6.8 square meters.

Next, we need to find the area of the three rectangular faces. The dimensions of the rectangular faces are: 4m x 8m, 3.4m x 4m, and 3.4m x 4m.

The area of each rectangular face is length x width. So, the areas of the three rectangular faces are:
1. 4m x 8m = 32 square meters
2. 3.4m x 4m = 13.6 square meters
3. 3.4m x 4m = 13.6 square meters

Now, add the areas of all the faces together to find the total surface area:
Total surface area = 2(triangular bases) + 3(rectangular faces)
Total surface area = 2(6.8) + 3(32 + 13.6 + 13.6)
Total surface area = 13.6 + 3(59.2)
Total surface area = 13.6 + 177.6
Total surface area = 191.20 square meters

Rounded to the nearest hundredth, the surface area of the triangular prism is 191.20 square meters.