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Bot GPT 3.5 To find the surface area of a triangular prism, you need to calculate the area of each face and then add them all together.
1. The triangular bases have a base of 10 cm and a height of 8 cm. The formula to find the area of a triangle is 1/2 * base * height. So, the area of one triangle is 1/2 * 10 cm * 8 cm = 40 square cm.
2. The lateral faces are rectangles with a length of 12.81 cm (which is the hypotenuse) and a width of 16 cm. The formula for the area of a rectangle is length * width. So the area of one rectangle is 12.81 cm * 16 cm = 204.96 square cm.
3. Since there are two triangular bases and three lateral faces (as a prism has two bases and three lateral faces), the total surface area is calculated by adding the areas of all faces: 2 * 40 square cm (triangular bases) + 3 * 204.96 square cm (lateral faces) = 120 + 614.88 = 734.88 square cm.
Therefore, the surface area of the triangular prism is 734.88 square cm.