Question

A triangular prism is 13 meters long and has a triangular face with a base of 13 meters and a height of 12 meters. What is the volume of the triangular prism?

Answer 1

The volume of a triangular prism can be calculated by multiplying the area of the triangular base by the height of the prism.

The triangular base of the prism has a base of 13 meters and a height of 12 meters, so its area is:

A = (1/2) x base x height
A = (1/2) x 13 x 12
A = 78 square meters

The height of the prism is given as 13 meters.

Therefore, the volume of the triangular prism is:

V = A x h
V = 78 x 13
V = 1014 cubic meters

So the volume of the triangular prism is 1014 cubic meters.

Answer 2

The formula for the volume of a triangular prism is:

V = (1/2) * b * h * l

Where b is the base of the triangle, h is the height of the triangle, and l is the length of the prism.

In this case, the base of the triangle is 13 meters, the height of the triangle is 12 meters, and the length of the prism is also 13 meters. Substituting these values into the formula, we get:

V = (1/2) * 13 meters * 12 meters * 13 meters

V = 1014 cubic meters

Therefore, the volume of the triangular prism is 1014 cubic meters.