To find the volume of the triangular prism use the following formula:
[tex]V=B\cdot h[/tex]Where B is the triangular base and h is the height of the prism.
Find the area of the triangular base by using the following formula:
[tex]\begin{gathered} A=\frac{b\cdot h}{2} \\ A=\frac{6in\cdot10in}{2} \\ A=\frac{60in^2}{2} \\ A=30in^2 \end{gathered}[/tex]Now, find the volume of the triangular prism:
[tex]\begin{gathered} V=B\cdot h \\ V=30in^2\cdot15in \\ V=450in^3 \end{gathered}[/tex]It means that the volume of the prism is 450in^3.