We separate the figure into two parts to be able to calculate each volume and at the end add them
triangular prism
Volume is area of the triangle by the length
[tex]V=\frac{b\times h}{2}\times l[/tex]
where b is the base of the triangle, h the height of the triangle and l the the depth of the prism
replacing
[tex]\begin{gathered} V=\frac{40\times10}{2}\times50 \\ \\ V=\frac{400}{2}\times50 \\ \\ V=10000 \end{gathered}[/tex]
the volume is 10,000 cubic feet
Rectangular prism
Volume is the area of the rectangle by the length
[tex]V=b\times h\times l[/tex]
replacing
[tex]\begin{gathered} V=40\times15\times50 \\ V=30000 \end{gathered}[/tex]
the volume of the rectangular prism is 30.000 cubic feet
Total Volume
we add the volume of both figures
[tex]\begin{gathered} V=10000+30000 \\ V=40000 \end{gathered}[/tex]
The total Volume is 40,000cubic feet
