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Answer :
Final answer:
The weight of Julie's empty fish tank is calculated by subtracting the weight of the water it can hold from the total weight when it is full. Upon doing so, the empty fish tank is found to weigh 69 pounds.
Explanation:
To calculate the weight of Julie's empty fish tank, we must first understand the weight of the water it contained when full. Given that the dimensions of the tank with water are 30 inches by 12 inches by 12 inches, we can calculate the volume of water in cubic feet. Since there are 12 inches in a foot, each dimension in feet is 30/12, 12/12, and 12/12 respectively, giving us dimensions in feet of 2.5 by 1 by 1.
The volume of water the tank holds can be calculated by multiplying these three dimensions: 2.5 ft × 1 ft × 1 ft = 2.5 cubic feet. We are given that 1 cubic foot of water weighs 62.4 pounds, so the total weight of the water in the tank is 2.5 cubic feet × 62.4 pounds/cubic foot = 156 pounds. Given the total weight of the full tank is 225 pounds, we can now subtract the weight of the water to find the weight of the empty tank: 225 pounds - 156 pounds = 69 pounds. Therefore, the weight of the empty fish tank is 69 pounds.
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After answering the presented question, we can conclude that As a equation result, the empty weight of the fish tank is 69 pounds.
What is equation?
A mathematical equation is a formula that connects two statements and denotes equivalence with the equals symbol (=). An equation is a mathematical statement that shows the equality of two mathematical expressions in algebra. In the equation 3x + 5 = 14, for example, the equal sign separates the variables 3x + 5 and 14. A mathematical formula describes the connection between the two sentences that occur on opposite sides of a letter. The symbol and the single variable are frequently the same. As in 2x - 4 Equals 2, for instance.
30 inches equals 30/12 feet equals 2.5 feet
12 inches equals 12/12 feet equals 1 foot
As a result, the tank's water capacity is:
V = 2.5 ft x 1 ft x 1 foot = 2.5 cubic feet
The weight of the water in the tank may then be calculated by multiplying the volume by the weight per cubic foot:
water weight = V x weight per cubic foot = 2.5 ft3 x 62.4 lb/ft3 = 156 lbs
Because the loaded tank weighs 225 pounds, the empty tank weighs:
empty tank weight Equals full tank weight - water weight = 225 lb - 156 lb = 69 lb
As a result, the empty weight of the fish tank is 69 pounds.
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