Question

The lateral surface area of a triangular prism is 182 in. The height is 14 in. What is the perimeter of the prism?

Answer 1

13 in

Explanation:

Let s be the length of a side of the triangle

then one rectangular face of the triangular prism

would be s x 14.

There are 3 rectangular faces in the triangular prism so

Lateral Surface Area = 3 x (s x 14)

182 = 42s

182/42 = s

There are 3 sides to the triangle so

3 x (182/42) = 13