Chapter 12.2, Problem 36STP

To determine

The volume of the prism:

Answer to Problem 36STP

The volume of the triangular prism is $108f{t}^3$ .

Explanation of Solution

Given:

  $\begin{array}{l}L=8ft\\ B=6ft\\ H=4.5ft\end{array}$

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 is calculated by using the follwoing formula:

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

Put the given values:

  $\begin{array}{l}V=\frac{1}{2}\left(L\times B\times H\right)\\ V=\frac{1}{2}\left(8\times 6\times 4.5\right)\\ V=108f{t}^3\end{array}$

Conclusion:

Hence, the volume of the triangular prism is $108f{t}^3$ .