The problem asks us to find the volume of a triangular prism. We are given the base of the triangle (5 m), the height of the triangle (8 m), and the length of the prism (6 m).

1. Problem Description

The problem asks us to find the volume of a triangular prism. We are given the base of the triangle (5 m), the height of the triangle (8 m), and the length of the prism (6 m).

2. Solution Steps

First, we need to find the area of the triangular base.

The formula for the area of a triangle is:

$Area = \frac{1}{2} \times base \times height$

Substituting the given values:

$Area = \frac{1}{2} \times 5 \ m \times 8 \ m = \frac{1}{2} \times 40 \ m^2 = 20 \ m^2$

Next, we need to find the volume of the triangular prism.

The formula for the volume of a prism is:

$Volume = Base \ Area \times length$

Substituting the area of the triangular base and the length of the prism:

$Volume = 20 \ m^2 \times 6 \ m = 120 \ m^3$

3. Final Answer

The volume of the prism is 120 $m^3$.