To find the surface area of the triangular prism, we need to calculate the area of each individual shape and then add them together.
1. The two rectangles on the top and bottom have a length of 8 meters and a width of 4 meters, so the area of each rectangle is 8 * 4 = 32 square meters. Since there are two rectangles, the total area for both is 2 * 32 = 64 square meters.
2. The middle rectangle has a length of 8 meters and a width of 4 meters, but only 2 sides are visible, so we need to calculate the area of those two sides. Since the height of the triangle is 3.4 meters, the area of one side is 8 * 3.4 = 27.2 square meters. Since there are two sides, the total area for both is 2 * 27.2 = 54.4 square meters.
3. The two triangles each have a base of 4 meters and a height of 3.4 meters, so the area of each triangle is (1/2) * base * height = (1/2) * 4 * 3.4 = 6.8 square meters. Since there are two triangles, the total area for both is 2 * 6.8 = 13.6 square meters.
Therefore, the total surface area of the triangular prism is 64 + 54.4 + 13.6 = 132 square meters.
Rounded to the nearest hundredth, the surface area is 132.00 square meters.