You arrive home to find that your 45 foot by 20 foot basement has 3 inches of water in it.
A) If 1 cubic foot of water is about 7.48 gallons, how much water will you be pumping out of your basement?
Express your answer rounded to the nearest tenth of a gallon. gallons
B)If you have a pump that can pump 450 gallons of water per hour, how long will it take to empty the basement?
Express your answer rounded to the nearest tenth of an hour. hours
A) To find out how much water you will be pumping out of your basement, you need to calculate the volume of the water in cubic feet and then convert it to gallons.
The formula to calculate the volume is:
Volume = length * width * height
In this case, the length is 45 feet, the width is 20 feet, and the height (the depth of the water) is 3 inches. However, we need to convert the height to feet by dividing it by 12 since there are 12 inches in a foot.
So, the height in feet is 3 / 12 = 0.25 feet.
Now, we can plug these values into the formula:
Volume = 45 feet * 20 feet * 0.25 feet
Volume = 225 cubic feet
Next, we can convert the volume from cubic feet to gallons by multiplying it by the conversion factor of 7.48 gallons per cubic foot:
Number of gallons = Volume * 7.48 gallons
Number of gallons = 225 cubic feet * 7.48 gallons
Number of gallons ≈ 1683.0 gallons
Therefore, you will be pumping out approximately 1683.0 gallons of water from your basement.
B) To determine how long it will take to empty the basement using a pump that can pump 450 gallons of water per hour, divide the total number of gallons by the pumping rate:
Time = Number of gallons / Pumping rate
Time = 1683.0 gallons / 450 gallons per hour
Time ≈ 3.74 hours
Therefore, it will take approximately 3.74 hours to empty the basement using the pump.