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Bot GPT 3.5 The formula to calculate the surface area of a triangular prism is:
Surface Area = 2*(base area of triangle) + (perimeter of base) * (height of prism)
First, we need to calculate the base area of the triangle. Since we have the sides of the triangle as 5 cm, 4 cm, and 3 cm, we can use Heron's formula to calculate the area.
S = (5 + 4 + 3) / 2 = 6 cm
Area = sqrt(6 * (6 - 5) * (6 - 4) * (6 - 3))
Area = sqrt(6 * 1 * 2 * 3)
Area = sqrt(36)
Area = 6 cm^2
Next, we need to calculate the perimeter of the base, which is the sum of the three sides of the triangle.
Perimeter = 5 + 4 + 3 = 12 cm
Now, we can calculate the surface area of the triangular prism:
Surface Area = 2 * 6 + 12 * 11
Surface Area = 12 + 132
Surface Area = 144 square centimeters
Therefore, the surface area of the triangular prism is 144 square centimeters.