Answer:
The volume of the irregular figure is [tex]470\ cm^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the irregular figure is equal to
[tex]V=BL[/tex]
where
B is the area of the front of the L-shaped figure
L is the length of the figure
Find the area B
The area of of the front of the L-shaped figure is equal to the area of two rectangles
[tex]B=(9)(3)+(9-5)(8-3)[/tex]
[tex]B=(9)(3)+(4)(5)[/tex]
[tex]B=27+20=47\ cm^{2}[/tex]
we have that
[tex]L=10\ cm[/tex]
Find the volume
[tex]V=BL[/tex]
[tex]V=(47)(10)=470\ cm^{3}[/tex]
