Answer:
[tex]36\:\mathrm{in^3}[/tex]
Step-by-step explanation:
The area of a prism is given by the product of the base and the height. In this triangular prism, the area of the either base is:
[tex]A=\frac{1}{2}\cdot 3\cdot 4=6\:\mathrm{in^2}[/tex]
The height is marked as [tex]6[/tex] inches. Thus, the volume of the prism is:
[tex]\frac{1}{2}\cdot 3\cdot 4\cdot 6=\boxed{36\:\mathrm{in^3}}[/tex]
