Question

Can somebody please help me find the volume of this triangular prism?

Answer 1

Check the picture below.

the volume of the prism will simply be the product of the triangular area and its length, it has a length of 8, thus

`\bf \stackrel{\textit{area of a triangle}}{A=\cfrac{1}{2}bh}~~ \begin{cases} b=9\\ h=6 \end{cases}\implies A=\cfrac{1}{2}(9)(6)\implies A=27 \\\\\\ \stackrel{\textit{volume of the triangular prism}}{V=27\cdot 8}\implies V=216`