Question

Find the volume of this triangle prism be sure to include the correct unit in your answe

Answer 1

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:

`V=A_(base)\cdot h`

Where the area of the base, which is the triangular face, can be determined with:

`A_(base)=\frac{\text{ base}\cdot\text{ height}}{2}`

Applying the given information to both expressions, we have:

`\begin{gathered} A_(base)=(5\cdot9)/(2)=22.5\text{ square cm}\\ \\ V=22.5\cdot8=180\text{ cubic cm} \end{gathered}`

The volume of the triangular prism is equal to 180 cm³.