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Agriculture: You own an empty one-acre lot. (640 acres = 1 mi²; 1 mi = 5,280 ft)

a. If 1 inch of rain fell over your one-acre lot, how many cubic inches of water fell on your lot?

b. How many cubic feet of water fell on your lot?

c. If 1 cubic foot of water weighs about 62 pounds, what is the weight of the water that fell on your lot?

d. If the weight of 1 gallon of water is approximately 8.3 pounds, how many gallons of water fell on your lot?

Answer :

a) 6272640 cubic inches of water fell on the lot

b) 3630 cubic feet of water fell on the lot

c) the weight of the water that fell on the lot = 112.53 tons

d) gallons of water fell on the lot = 27,115.7 gallons

Converting acre into sq ft

460 acre=1 [tex]mi^{2}[/tex]

1 acre=1/460 [tex]mi^{2}[/tex]

1 mi=5280 ft

1 mi2=5280×5280[tex]ft^{2}[/tex]

1 acre=(5280×5280)/460

1 acre= 43560 sq ft

Solving the part (a)

As one inch is equal to one-twelfth of a foot, one acre of water that is 1 inch deep takes up 3630 cubic feet (43560×(1/12)).

One cubic foot is equal to 12 inches by 12 inches by 12 inches,

or 12×12×12=1728 cubic inches.

6272640 cubic inches are contained in 3630 cubic feet, or 3630 × 728.

Hence, 6272640 cubic inches of water fell on the lot.

Solving the part (b)

If 1 inch of rain fell over your one acre lot, 3630 cubic feet of water fell on the lot.

Solving the part (c)

3630 times 62 is 225,060 pounds, the weight in pounds.

We are aware that a tons weighs 2000 lb.

225060/2000 = 112.53 tons

Hence, the weight of the water that fell on the lot=112.53 tons.

Solving the part (d)

If there are around 8.3 pounds in 1 gallon of water,

Number of gallons of water fell on the lot

=225060/8.3

=27,115.7 gallons

Hence, gallons of water fell on the lot=27,115.7 gallons.

To know more about gallons, visit:

https://brainly.com/question/11635818

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