Chapter 6.8, Problem 46STP

To determine

the volume of the triangular prism.

Answer to Problem 46STP

The volume of the triangular prism is $H$

  $48c{m}^3$

Explanation of Solution

Given:

  

Calculation:

Consider the diagram below:

  

The strategy is to find the volume of the triangular prism.

Here,

Base, $b=3cm$

Height, $h=4cm$

Length, $l=8cm$

Now the area of the triangular region is:

  $\begin{array}{l}A=\frac{1}{2}bh\\ =\frac{1}{2}\mathrm{.3.4}\\ =3.2\\ =6\end{array}$

Hence, the volume of the prism will be:

  $\begin{array}{l}V=AI\\ =6.8\\ =48\end{array}$

Therefore, the volume is $48c{m}^3$ .

Conclusion:

Therefore, the volume is $48c{m}^3$ .