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In a recent storm, it rained 6.00 inches of rain in a period of 2.00 hours. If the size of your property is 100 ft by 100 ft, find the total volume of water that fell on your property.

Express your answer in:
(a) cubic feet
(b) cubic meters
(c) liters
(d) gallons

Answer :

Final answer:

For 6 inches of rain falling on a 100 ft by 100 ft property, the total volume conversion of rainwater can be calculated in various units: 5,000 cubic feet, 141.58 cubic meters, 141,580 liters, and 37,418.92 gallons.

Explanation:

We begin by converting inches of rain to feet because the property size is given in feet. There are 0.0833 feet in an inch, so 6 inches of rain is equivalent to 0.0833 * 6 = 0.5 feet. Then we find the volume of rainwater in cubic feet by multiplying the area of the property by the depth of rainfall. Thus, the volume of rainwater is 10,000 sq ft * 0.5 ft = 5,000 cubic feet.

To convert this volume to cubic meters we use the conversion factor 1 cubic feet = 0.0283168 cubic meter, hence the volume in cubic meters is 5,000 * 0.0283168 = 141.58 cubic meters.

Next, we convert cubic meters to liters by using the conversion factor 1 cubic meter = 1,000 liters, hence 141.58 cubic meters = 141,580 liters. Finally, we find the volume in gallons using the conversion factor 1 liter = 0.264172 gallons, so 141,580 liters = 37,418.92 gallons.

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