34. 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.

The lateral surface area of the triangular prism is 379.5sq units

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  

where a, b,c are the side lengths of the base of the triangular prism and h is the height of the prism.

Here  and  

Substituting these values in the formula, we have,

Simplifying, we get,

Multiplying, we get,

Thus, the lateral surface area of the triangular prism is

379.5

Step-by-step explanation:

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