A flush tank on a toilet is rectangular with dimensions of 21 inches by 6.5 inches and contain water to a depth of 12 inches. How many gallons of water per flush will be saved if the depth of the water is reduced by one-third? 231 cubic inches per gallon)
gallons saved= 1/3 (21*6.5*12)/231
2.36 gallons. Correct?
To find out how many gallons of water per flush will be saved if the depth of the water is reduced by one-third, we need to compare the volume of water before and after the reduction.
1. Calculate the volume of water in the flush tank before the reduction:
Volume = Length x Width x Depth
Volume = 21 inches x 6.5 inches x 12 inches
2. Calculate the volume of water in the flush tank after the reduction:
Reduced Depth = Original Depth - (1/3) * Original Depth
Reduced Depth = 12 inches - (1/3) * 12 inches
Volume = Length x Width x Reduced Depth
Volume = 21 inches x 6.5 inches x Reduced Depth
3. Calculate the difference in volume between before and after the reduction:
Volume Difference = Volume before reduction - Volume after reduction
4. Convert the volume difference from cubic inches to gallons:
Gallons = Volume Difference / 231 (conversion factor: 231 cubic inches = 1 gallon)
By following these steps, we can determine the number of gallons of water per flush that will be saved if the depth of the water is reduced by one-third.