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Answer :
Final answer:
The larger tank can hold approximately 10.61 gallons more water than the smaller tank, Option B.
Explanation:
To find the volume of the larger tank, we need to calculate the volume of the smaller tank first. The volume of a rectangular prism can be found by multiplying the length, width, and height. For the smaller tank, the volume is 5 in. x 10 in. x 7 in. = 350 cubic inches.
Now, double each dimension for the larger tank: 2 x 5 in. = 10 in., 2 x 10 in. = 20 in., and 2 x 7 in. = 14 in.
Calculate the volume of the larger tank: 10 in. x 20 in. x 14 in. = 2800 cubic inches.
Finally, find the difference in volume between the larger and smaller tank: 2800 - 350 = 2450 cubic inches.
Since there are 231 cubic inches in 1 gallon, divide 2450 cubic inches by 231 to find the number of gallons: 2450 / 231 = 10.61 gallons. Therefore, the larger tank can hold approximately 10.61 gallons more than the smaller tank.
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Answer:
10
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