Answer:
[tex]4,151.25\ m^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the trapezoidal prism (swimming pool) is equal to
[tex]V=BL[/tex]
where
B is the area of the trapezoidal base
L is the length (distance between the two trapezoidal faces)
Find the area B
[tex]B=\frac{1}{2}(4+8)(30.75)=184.5\ m^{2}[/tex]
[tex]L=22.5\ m[/tex]
Find the volume
[tex]V=184.5(22.5)=4,151.25\ m^{3}[/tex]
