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Answer :
The area of water that is open to the atmosphere in acres and square feet, if the water surface elevation is uniformly 45 ft above the reservoir bed and the reservoir is holding 10 billion gallons of water is 436.59 acres and 19,015,471.19 square feet.
The area of water that is open to the atmosphere in acres and square feet, if the water surface elevation is uniformly 45 ft above the reservoir bed and the reservoir is holding 10 billion gallons of water can be calculated as follows:Given data:The surface elevation of water from the reservoir bed is uniformly 45 feet.
The reservoir is holding 10 billion gallons of water.We know that the volume of a rectangular prism can be found by multiplying its length, width, and height. Here, we can consider the reservoir as a rectangular prism whose height is 45 ft. Let's assume that the length and width of the rectangular prism are 'l' and 'w,' respectively. Therefore, the volume of the rectangular prism can be expressed as:l x w x 45 cubic feetAlso, the volume of a rectangular prism can be calculated using the formula:Volume of a rectangular prism = length × width × height= 7.4805 gallons/cubic footHere, the volume of the rectangular prism is 10 billion gallons.
Therefore, we can say:Volume of rectangular prism = 10,000,000,000 gallons= l x w x 45 x 7.4805 cubic feet= 33,660.225 l x w cubic feetWe can also express the area of the water surface by dividing the volume by the height (45 ft).
Therefore:Area of the water surface = (10,000,000,000 gallons) / (7.4805 gallons/ cubic foot × 45 ft)= 19,015,471.19 square feet= 436.59 acres
Hence, the area of water that is open to the atmosphere in acres and square feet, if the water surface elevation is uniformly 45 ft above the reservoir bed and the reservoir is holding 10 billion gallons of water is 436.59 acres and 19,015,471.19 square feet.
Learn more about rectangular prism here,
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