To find the volume of the triangular prism use the following formula:
![V=B\cdot h](https://img.qammunity.org/2023/formulas/mathematics/college/yfzbaicbitliay86gi4ymrsrcoxzw1080e.png)
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:
![\begin{gathered} A=(b\cdot h)/(2) \\ A=(6in\cdot10in)/(2) \\ A=(60in^2)/(2) \\ A=30in^2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ummgc3e45dv0wxypm6hwjnqv95kc83ajj2.png)
Now, find the volume of the triangular prism:
![\begin{gathered} V=B\cdot h \\ V=30in^2\cdot15in \\ V=450in^3 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/3rd7f61n8v68klvb64f4gosmc2qs9di2up.png)
It means that the volume of the prism is 450in^3.