Answer:
For a rectangular prism-like swimming pool: [tex]V = w\cdot l \cdot h[/tex]. [tex]V = 360\,ft^{3}[/tex] when [tex]h = 5\,ft[/tex], [tex]l = 12\,ft[/tex] and [tex]w = 6\,ft[/tex].
Step-by-step explanation:
Let assume that swimming pool has a rectangular base and depth is the same at any point at the bottom. In addition, let [tex]w[/tex] and [tex]l[/tex] be the width and length of the swimming pool. Then, the volume needed to fill the swimming pool is:
[tex]V = w\cdot l \cdot h[/tex], where [tex]h[/tex] is the depth of the pool.
Let be [tex]h = 5\,ft[/tex], [tex]l = 12\,ft[/tex] and [tex]w = 6\,ft[/tex]. The volume of the swimming pool is:
[tex]V = (6\,ft)\cdot (12\,ft)\cdot (5\,ft)[/tex]
[tex]V = 360\,ft^{3}[/tex]