Answer:
The height of the prism is 22 meters
Explanation if needed:
To find the height of the triangular prism, we need to use the formula for the lateral surface area of a triangular prism, which is given by:
Lateral Surface Area = Perimeter of Base * Height
We're given that the lateral surface area is 132 square meters and the perimeter of the base is 6 units.
So, we have:
132 = 6 * Height
Now, divide both sides by 6 to solve for the height:
Height = 132 / 6
Height = 22 meters
Therefore, the height of the triangular prism is 22 meters.
