The formula for the volume of triangular prism is,
![V=(1)/(2)\cdot b\cdot h\cdot l](https://img.qammunity.org/2023/formulas/mathematics/college/9xf4lna1l185nlwvs5v2r2l3o8hlh5rxmk.png)
Here, 'b' is base of triangular face, 'h' is height of triangula face and 'l' is length between two triangular faces (Top and bottom).
Determine the volume of the triangular prism.
![\begin{gathered} V=(1)/(2)\cdot12\cdot8\cdot9 \\ =432 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/lfr94oznwy2oodvn5qt6osnfra7v3z59ch.png)
So answer is 432 inches cube.