Question

formula 0.5 points
a swimming pool has a length of 25 ft, a width of 10 ft, and a uniform depth of 5 ft. how many gallons of water does it hold? (hint: find the volume in cubic ft and then use dimensional analysis to convert to gallons. 1 cubit foot = 7.5 gallons)
round your answer to the nearest whole gallon, but do not include a unit of measure with your response.
answer

Explanation:

Step1: Calculate pool volume

The volume $V$ of a rectangular - prism (pool) is given by $V = l\times w\times h$, where $l = 25$ ft, $w = 10$ ft, and $h = 5$ ft. So $V=25\times10\times5=1250$ cubic - ft.

Step2: Convert volume to gallons

Since 1 cubic foot = 7.5 gallons, the number of gallons $N$ is $N = V\times7.5$. Substituting $V = 1250$ cubic - ft, we get $N=1250\times7.5 = 9375$ gallons.

Answer:

9375