Respuesta :
1 foot = 12 inches
(1 foot)^3 = (12 inches)^3
1 cubic foot = (12^3) cubic inches
1 cubic foot = 1728 cubic inches, will be used as a conversion factor
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Find the volume of the pool. Assume it is a rectangular prism.
Volume = length*width*height
Volume = 32*16*8
Volume = 4096 cubic feet
Multiply by 1728, which was the conversion factor found earlier, to convert from cubic feet to cubic inches.
4096 cubic feet = (4096*1728) cubic inches = 7077888 cubic inches
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Now use the fact that 1 gallon = 231 cubic inches to convert from cubic inches to gallons
7077888 cubic inches = (7077888 cubic inches)*(1 gallon/231 cubic inches) = 7077888/231 = 30640.2078 gallons which is approximate
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If x is the amount of time in minutes, then 8x gallons of water have been added after x minutes. Set this equal to 30640.2078 and solve for x
8x = 30640.2078
x = 30640.2078/8
x = 3830.02598
Divide this by 60 to convert to hours
3830.02598/60 = 63.8337663
It takes approximately 63.8 hours to fill the pool
This is approximately 63.8/24 = 2.625 days
