The problem asks us to find the volume of a prism. The formula for the volume of a prism is given as $V = Bh$, where $B$ is the area of the base and $h$ is the height. The base of the prism is a triangle with base 24 m and height 7 m. The height of the prism is 22 m.

1. Problem Description

The problem asks us to find the volume of a prism. The formula for the volume of a prism is given as $V = Bh$, where $B$ is the area of the base and $h$ is the height. The base of the prism is a triangle with base 24 m and height 7 m. The height of the prism is 22 m.

2. Solution Steps

First, we need to find the area of the triangular base. The area of a triangle is given by the formula:

$A = \frac{1}{2} \times base \times height$.

In this case, the base of the triangle is 24 m and the height is 7 m. So, the area of the triangular base is:

$B = \frac{1}{2} \times 24 \times 7 = 12 \times 7 = 84 \ m^2$.

Next, we need to find the volume of the prism. The height of the prism is 22 m. Using the formula $V = Bh$, where $B$ is the area of the base and $h$ is the height of the prism:

$V = 84 \times 22 = 1848 \ m^3$.

3. Final Answer

The volume of the prism is 1848 $m^3$.