Start by dividing the figure into 2 prisms
calculate the volume for both independently.
For the rectangular prism
[tex]V=l\cdot w\cdot h[/tex]
then,
[tex]\begin{gathered} V=2\cdot2.5\cdot1.5 \\ V=7.5m^3 \end{gathered}[/tex]
For the triangular prism
[tex]V=\frac{1}{2}l\cdot h\cdot w[/tex]
then,
[tex]\begin{gathered} V=\frac{1}{2}\cdot1.5\cdot4\cdot2.5 \\ V=7.5m^3 \end{gathered}[/tex]
Add both volumes together
[tex]\begin{gathered} V_t=7.5m^3+7.5m^3 \\ V_t=15m^3 \end{gathered}[/tex]
