If water flows into a rectangular tank at the rate of 6 cubic feet per minute, how long will it take to fill the tank, which measures 18'' x 32'' x 27''?

v=lwh for a rectangle 18 32 27=v v=15,552in^3 15,552/12=1296ft^3 converts feet to inches 6 6 6=216ft^3 this is how much is filled up in a minute 1296/216=6 minutes.

Answered by Soccerpayer17 | 2024-06-10

the volume of a rectuangular prism is length×width×height
in this case, the volume will be 18×32×27 = 15,552 cubic inches.
water flows in by cubic feet, so we'll need to either transformthe volume of the tank to feet, or the volume of water flow to inches. in this case, it will make our life easier if we turn the tank valume into feet. 15,552 inches is exactly 1296 feet.
water flows in 6 cubic feet per minute, so we calculate that 1,296 ÷ 6 = 216
water will be flowing in for 3 hours and 36 minutes thusly.

Answered by stradlater | 2024-06-10

To fill the rectangular tank with dimensions 18'' x 32'' x 27'', it will take approximately 1.5 minutes with an inflow rate of 6 cubic feet per minute. The volume of the tank was calculated as approximately 8.98 cubic feet. Therefore, the time required was determined using the formula: Time = Volume / Flow Rate.
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Answered by Soccerpayer17 | 2024-10-15