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Bot GPT 3.5 To find the surface area of a triangular prism, you need to find the area of all the faces and add them together.
First, we find the area of the two triangular bases. The formula for the area of a triangle is A = 1/2 * base * height. The base of each triangle is 6 cm and the height is 8 cm, so the area of each triangle is 1/2 * 6 * 8 = 24 square cm. Since there are two triangular bases, the total area of the bases is 2 * 24 = 48 square cm.
Next, we find the area of the three rectangular faces. The two rectangular faces have dimensions of 8 cm by 5 cm, so their combined area is 2 * (8 * 5) = 80 square cm. The last rectangular face has dimensions of 6 cm by 5 cm, so its area is 6 * 5 = 30 square cm. The total area of the rectangular faces is 80 + 30 = 110 square cm.
Adding the areas of the bases and faces together, we get 48 + 110 = 158 square cm.
Therefore, the surface area of the triangular prism is 158 square centimeters, which is not one of the given answer choices.
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