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Answer :
Final answer:
The larger tank can hold approximately 5.45 more gallons than the original tank, which is the equivalent of about 21.8 quarts.
Explanation:
Volume and Capacity Conversion
The original water tank has dimensions 5 in. by 6 in. by 6 in. To find its volume we multiply these dimensions together: 5 x 6 x 6 = 180 cubic inches. If we double each dimension, the new dimensions will be 10 in. by 12 in. by 12 in. The volume for the larger tank will then be: 10 x 12 x 12 = 1440 cubic inches.
To determine how many more gallons the larger tank can hold, we find the difference in volume and convert to gallons. The difference in volume is 1440 cubic inches - 180 cubic inches = 1260 cubic inches. Knowing there are 231 cubic inches in 1 gallon, we can convert using division: 1260 cubic inches / 231 cubic inches per gallon = approximately 5.45 gallons. Therefore, the larger tank can hold approximately 5.45 more gallons than the original tank.
To further understand this, we can convert gallons to quarts since 1 gallon = 4 quarts. Multiplying 5.45 gallons by 4 gives us the equivalent amount in quarts: 5.45 x 4 = 21.8 quarts.
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