Chapter 12.2, Problem 8PPS

To determine

The volume of the triangular prism:

Answer to Problem 8PPS

The value of the volume of the triangular prism is $276f{t}^3$ .

Explanation of Solution

Given:

  $\begin{array}{l}L=10ft\\ B=8ft\\ H=6.9ft\end{array}$

Concept Used:

The volume of the triangular prism is given by the following expression:

  $V=\frac{1}{2}\left(L\times B\times H\right)$

Where,

Length of triangular prism: $L$

Base of triangular prism: $B$

Height of triangular prism: $H$

Calculation:

The volume of the triangular prism iscalculated by using the follwoing formula:

  $V=\frac{1}{2}\left(L\times B\times H\right)$

Put the given values:

  $\begin{array}{l}V=\frac{1}{2}\left(L\times B\times H\right)\\ V=\frac{1}{2}\left(10\times 8\times 6.9\right)\\ V=276f{t}^3\end{array}$

Conclusion:

Hence, the volume of the triangular prism is $276f{t}^3$ .