We appreciate your visit to Agriculture You own an empty one acre lot Given tex 640 text acres 1 text mi 2 tex tex 1 text mi 5 280 text. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Sure, let's solve this step-by-step:
a. Cubic inches of water:
- To find the amount of water in cubic inches that fell over a one-acre lot with 1 inch of rain, start by noting that 1 acre is 43,560 square feet.
- Since the rain fell to a depth of 1 inch, you need to convert this depth into inches. 1 foot is 12 inches, so 1 inch is simply a direct measurement without conversion.
- Multiply the area in square feet (43,560) by the depth in inches (12, as we're converting feet to inches for consistency) to find the volume in cubic inches:
[tex]\[
43,560 \, \text{sq ft} \times 12 \, \text{inches} = 522,720 \, \text{cubic inches}
\][/tex]
b. Cubic feet of water:
- Next, convert the depth from inches to feet since 1 inch of rain is [tex]\(\frac{1}{12}\)[/tex] of a foot.
- Multiply the acre’s square footage by this depth in feet:
[tex]\[
43,560 \, \text{sq ft} \times \frac{1}{12} \, \text{ft} = 3,630 \, \text{cubic feet}
\][/tex]
c. Weight of the water in pounds:
- Knowing that 1 cubic foot of water weighs approximately 62 pounds, multiply the volume of water in cubic feet by this weight:
[tex]\[
3,630 \, \text{cubic feet} \times 62 \, \text{pounds per cubic foot} = 225,060 \, \text{pounds}
\][/tex]
d. Gallons of water:
- A gallon of water weighs approximately 8.3 pounds. To find the number of gallons from the total weight in pounds, divide the weight by the weight per gallon:
[tex]\[
\frac{225,060 \, \text{pounds}}{8.3 \, \text{pounds per gallon}} \approx 27,115.66 \, \text{gallons}
\][/tex]
There you have it! These calculations show the total water volume and weight distribution after a 1-inch rainfall over a one-acre lot.
a. Cubic inches of water:
- To find the amount of water in cubic inches that fell over a one-acre lot with 1 inch of rain, start by noting that 1 acre is 43,560 square feet.
- Since the rain fell to a depth of 1 inch, you need to convert this depth into inches. 1 foot is 12 inches, so 1 inch is simply a direct measurement without conversion.
- Multiply the area in square feet (43,560) by the depth in inches (12, as we're converting feet to inches for consistency) to find the volume in cubic inches:
[tex]\[
43,560 \, \text{sq ft} \times 12 \, \text{inches} = 522,720 \, \text{cubic inches}
\][/tex]
b. Cubic feet of water:
- Next, convert the depth from inches to feet since 1 inch of rain is [tex]\(\frac{1}{12}\)[/tex] of a foot.
- Multiply the acre’s square footage by this depth in feet:
[tex]\[
43,560 \, \text{sq ft} \times \frac{1}{12} \, \text{ft} = 3,630 \, \text{cubic feet}
\][/tex]
c. Weight of the water in pounds:
- Knowing that 1 cubic foot of water weighs approximately 62 pounds, multiply the volume of water in cubic feet by this weight:
[tex]\[
3,630 \, \text{cubic feet} \times 62 \, \text{pounds per cubic foot} = 225,060 \, \text{pounds}
\][/tex]
d. Gallons of water:
- A gallon of water weighs approximately 8.3 pounds. To find the number of gallons from the total weight in pounds, divide the weight by the weight per gallon:
[tex]\[
\frac{225,060 \, \text{pounds}}{8.3 \, \text{pounds per gallon}} \approx 27,115.66 \, \text{gallons}
\][/tex]
There you have it! These calculations show the total water volume and weight distribution after a 1-inch rainfall over a one-acre lot.
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