ANSWER
307½ gallons of water
EXPLANATION
The volume of the rectangular swimming pool is
[tex]V = l \times w \times h[/tex]
where l=25ft and w=20½ ft.
when it is filled to a depth of 4½ ft ,then the height is , h=4½ ft.
We substitute these values into the formula to get:
[tex]V = 25\times 20.5\times 4.5[/tex]
[tex]V = 2306.25 {ft}^{3} [/tex]
If one cubic foot of water is 7½ gallons, then 2306.25 cubic feet will be
[tex] \frac{2306.25}{7.5} = 307.5gallons[/tex]
We need 307.5 gallons of water to fill the pool.