Exercise 27 Page 596

Let's see the given measurements on the triangular prism.

The base of the prism is a right triangle. The legs of this triangle are $a=7\text{ meters}$ and $b=11\text{ meters}$ long. Therefore we can calculate the area $B$ of the base using the formula for area of a triangle. Let's find the area of the base. The volume of a triangular prism can be calculated using the following formula. Here $B$ is the area of the base and $h$ is the height of the prism. We are given that $h=14$ and we already calculated the area of the base of the prism, $B=38.5.$ Now we have enough information to calculate the value of $V.$ The volume of the prism is $539$ cubic meters.