In order to determine the surface area of a triangular prism, you first need to find the area of each individual face and then add them together.
Let's say the triangular base of the prism has a base of 8 units and a height of 6 units.
1. The area of the triangular base is (1/2) * base * height = (1/2) * 8 * 6 = 24 square units.
2. Since there are two triangular faces, the total area of both triangular faces is 2 * 24 = 48 square units.
3. The lateral faces of the prism are rectangles, and each one is a parallelogram with base equal to the perimeter of the base triangle and height equal to the height of the prism. Since the base triangle has sides of length 8, 8, and 6, the perimeter is 8 + 8 + 6 = 22 units. Thus, the lateral faces have an area of 22 * 6 = 132 square units.
4. Finally, add the areas of the triangular faces and the lateral faces to get the total surface area:
Total Surface Area = 48 + 132 = 180 square units.
Therefore, the surface area of the triangular prism is 180 square units.
What is the surface area of the triangular prism? (1 point)
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