1. First, we need to determine the dimensions of the triangular prism. Let's say the base of the triangle is 5 meters, the height of the triangle is 6 meters, and the length of the prism is 8 meters.
2. To find the surface area of the triangular prism, we need to calculate the area of the two triangular bases and the three rectangular faces.
3. Calculate the area of the triangular bases using the formula for the area of a triangle: (1/2)base x height.
Area of one triangular base = (1/2) x 5m x 6m = 15m2
Total area of both triangular bases = 2 x 15m2 = 30m2.
4. Calculate the area of the three rectangular faces using the formula for the area of a rectangle: length x width.
Area of one rectangular face = 5m x 8m = 40m2.
Total area of all three rectangular faces = 3 x 40m2 = 120m2.
5. Add the area of the triangular bases and the area of the rectangular faces to find the total surface area of the triangular prism.
Total surface area = 30m2 (triangular bases) + 120m2 (rectangular faces) = 150m2.
Therefore, the surface area of the triangular prism is 150 square meters.
Use the net as an aid to compute the surface area of the triangular prism
m2
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