What is the height of the prism?

Question

A triangular prism has base side lengths 4 cm, 5 cm, and 6 cm. The lateral surface area is 300 cm squared. What is the height of the prism.

Answer 1

Lateral surface area is the area around a solid. In the case of triangular prism, that would be the sum of the area of the three rectangles around it.

 

Given that those are rectangles, an area of one face is simply length x width; or in this case, base edge x height.

 

so it will be just: 4*h + 5*h + 6*h = LSA = 300 cm^2 = 15h; h = 20 cm.