The volume of a triangular pyramid can be calculated through the formula:
[tex]V=A_b\cdot\frac{h}{3}[/tex]
using the area of a triangle we get
[tex]\begin{gathered} V=(b\cdot\frac{a}{2})\cdot\frac{h}{3} \\ V=\frac{1}{6}\cdot b\cdot a\cdot h \end{gathered}[/tex]
then, with the information given
[tex]\begin{gathered} V=\frac{1}{6}\cdot12\cdot8\cdot9.2 \\ V=147.2cm^3 \end{gathered}[/tex]
