Answer:
The volume of the community swimming pool is 4 times greaters than the volume of the wading pool.
Step-by-step explanation:
By definition of rectangular prism, we get the respective formulas for the volumes of the community swimming pool and the wadling pool, respectively:
Community swimming pool
[tex]V_{c} = l\cdot w\cdot h (1)[/tex]
Wading pool
[tex]V_{w} = \left(\frac{1}{2}\cdot l \right)\cdot \left(\frac{1}{2}\cdot h\right)\cdot w (2)[/tex]
Where:
l – Length of the swimming pool, measured in feet.
h – Depth of the swimming pool, measured in feet.
w – Width of the swimming pool, measured in feet.
[tex]V_{c}[/tex] – Volume of the community swimming pool, measured in cubic feet.
[tex]V_{w}[/tex] – Volume of the wading swimming pool, measured in cubic feet.
The ratio of the volume of the community swimming pool to the volume of the wadling pool is:
[tex]\frac{V_{c}}{V_{w}} = \frac{l\cdot w \cdot h}{\left(\frac{1}{2}\cdot l \right)\cdot \left(\frac{1}{2}\cdot h\right)\cdot w} (3)[/tex]
[tex]\frac{V_{c}}{V_{w}} = \frac{1}{\frac{1}{4} }[/tex]
[tex]\frac{V_{c}}{V_{w}} = 4[/tex]
The volume of the community swimming pool is 4 times greaters than the volume of the wading pool.
