Answer:
The volume of the figure is [tex]320\ units^{3}[/tex]
Step-by-step explanation:
we know that
The figure is a pyramid
The volume of a pyramid is equal to
[tex]V=(1/3)BH[/tex]
where
B is the area of the rectangular base of pyramid
H is the height of pyramid
Find the area of the base B
The area of the base B is equal to
[tex]B=AB*AC[/tex]
we have that
[tex]AB=8\ units[/tex] ---> see the graph
[tex]AC=10\ units[/tex] ---> see the graph
substitute
[tex]B=8*10=80\ units^{2}[/tex]
we have
[tex]H=EF=12\ units[/tex] ---> see the graph
Find the volume
[tex]V=(1/3)(80*12)=320\ units^{3}[/tex]
