To find the volume of the triangular prism, we have that the formula to calculate it is as follows:
Where:
• h is the height of the triangle which is the base of the triangular prism. In this case, h = 12cm
,
• b is the base of the triangle which is the base of the triangular prism. In this case, b = 6cm.
,
• l is the length of the triangular prism. In this case, l = 9cm.
Therefore, the volume of the triangular prism is as follows:
![\begin{gathered} V_(tp)=\frac{12\operatorname{cm}\cdot6\operatorname{cm}}{2}\cdot9\operatorname{cm} \\ V_(tp)=\frac{72\operatorname{cm}}{2}\cdot9\operatorname{cm} \\ V_(tp)=36\operatorname{cm}\cdot9\operatorname{cm} \\ V_(tp)=324\operatorname{cm}^3 \end{gathered}]()
In summary, the volume of the triangular prism is 324 cm³