The side lengths of the base of a triangular prism are 5 meters, 8 meters, and 10 meters. The height of the prism is 16.5 meters.
What is the lateral surface area of the prism in square meters?
To find the lateral surface area of the triangular prism, we need to calculate the area of the three rectangular sides.
First, let's find the perimeter of the base of the triangular prism:
Perimeter = 5 + 8 + 10 = 23 meters
Now, calculate the lateral surface area:
Lateral Surface Area = Perimeter of base * Height
Lateral Surface Area = 23 * 16.5
Lateral Surface Area = 379.5 square meters
Therefore, the lateral surface area of the triangular prism is 379.5 square meters.