The lateral surface area of the triangular prism is
Step-by-step explanation:
The side lengths of the base of the triangular prism are 5 meters, 8 meters, and 10 meters.
It is given that the height of the prism is 16.5 meters.
To determine the lateral surface area of the prism, let us use the formula
LSA = (a + b + c)h
where a, b,c are the side lengths of the base of the triangular prism and h is the height of the prism.
Here: a = 5, b = 10,c = 8 and: h = 16.5
Substituting these values in the formula, we have,
LSA = (5 + 10 + 8) 16.5
Simplifying, we get,
LSA = (23) 16.5
Multiplying, we get,
LSA = 379.5
Thus, the lateral surface area of the triangular prism is,
379.5sq. units