For this problem, we have a triangular prism and its measurements. We need to determine the volume for the solid.
The volume of a triangular prism can be found with the following equation:
[tex]V=A_{base}\cdot h[/tex]
Where the area of the base, which is the triangular face, can be determined with:
[tex]A_{base}=\frac{\text{ base}\cdot\text{ height}}{2}[/tex]
Applying the given information to both expressions, we have:
[tex]\begin{gathered} A_{base}=\frac{5\cdot9}{2}=22.5\text{ square cm}\\ \\ V=22.5\cdot8=180\text{ cubic cm} \end{gathered}[/tex]
The volume of the triangular prism is equal to 180 cm³.
