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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.
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