Answer:
The volume of the rectangular swimming pool is [tex]384.75\ m^{3}[/tex] or [tex]384\frac{3}{4}\ m^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the rectangular swimming pool is equal to
[tex]V=LWH[/tex]
we have
[tex]L=19\ m[/tex]
[tex]W=13\frac{1}{2}\ m=\frac{13*2+1}{2}=\frac{27}{2}\ m[/tex]
[tex]H=1\frac{1}{2}\ m=\frac{1*2+1}{2}=\frac{3}{2}\ m[/tex]
substitute
[tex]V=(19)(\frac{27}{2})(\frac{3}{2})[/tex]
[tex]V=\frac{1,539}{4}=384.75\ m^{3}[/tex]
Convert to mixed number
[tex]384.75=384\frac{3}{4}\ m^{3}[/tex]
