Volume of a triangular prism is given by V = Al where A is the area of the triangular cross section, i.e. [tex]A= \frac{1}{2}bh [/tex], and l is the length of the triangular prism.
Here, b = 8cm, h = 9cm, and l = 5cm.
[tex]A= \frac{1}{2}bh= \frac{1}{2} \times8 \times9=4\times9=36cm^{2} [/tex]
Therefore, [tex]V=Al=36\times5=180cm^{3} [/tex]