What is the surface of the triangular prism? Round the answer to the nearest tenth.
(1 point)
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To calculate the surface area of a triangular prism, you need to find the area of all the faces and add them together.
Let's assume the triangle in the base of the prism has sides of lengths a, b, and c.
The formula for the surface area of a triangular prism is:
Surface Area = (2 * base area) + (base perimeter * height) + (side perimeter * length)
First, calculate the base area:
Base area = (1/4) * sqrt((a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c))
Next, calculate the base perimeter:
Base perimeter = a + b + c
Assuming the height of the prism is h and the length of the prism is L, the side perimeter would be P (the perimeter of the triangle):
Side perimeter = P = a + b + c
Now, calculate the surface area using the formula:
Surface Area = (2 * Base area) + (Base perimeter * height) + (Side perimeter * length)
Once you have calculated all the values, round the answer to the nearest tenth. This will give you the surface area of the triangular prism in square centimeters.