triangular prism

Question

A triangular prism is 14 meters long. It has a triangular face with a base of 15 meters. The volume of the prism is 1,680 cubic meters. What is the height of its triangular face?

Answer 1

We are told that V = 1680 m³, l (length) = 14 m, and b (base) = 15 m

This is the formula for the volume:

V = 1/2*b*l*h

1680 = 1/2*15*14*h <--- we need to solve for h. It's usually helpful to multiply all of the numbers first!

1680 = 105*h Now all we need to do is divide both sides by 105 to find h.

h = 1680/105 = 16 meters