The figure shows an empty water tank. It was made of two containers, A and B,glued together. Container A had a base area of 441 cm2 and Container B had aheight of 4 cm. Jeremy poured 5.324 of water into Container A. Some of the waterflowed into Container B through the hole in Container A, which was just aboveContainer B. In the end, Container B was filled with water. Find the amount of water in Container A in the end.
Question
The figure shows an empty water tank. It was made of two containers, A and B,glued together. Container A had a base area of 441 cm2 and Container B had aheight of 4 cm. Jeremy poured 5.324 of water into Container A. Some of the waterflowed into Container B through the hole in Container A, which was just aboveContainer B. In the end, Container B was filled with water. Find the amount of water in Container A in the end.
Solution
To solve this problem, we first need to understand that the volume of water in a container is given by the formula: Volume = Base Area x Height.
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We know that the base area of Container A is 441 cm^2 and Jeremy poured 5.324 liters of water into it. However, we need to convert this volume from liters to cubic centimeters (cm^3) because the base area is given in cm^2 and we want the units to match. We know that 1 liter = 1000 cm^3, so 5.324 liters = 5324 cm^3.
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Now, we need to find out how much water flowed into Container B. We know that Container B has a height of 4 cm. To find the volume of water in Container B, we need to know its base area. However, the problem doesn't provide this information. We can assume that the base area of Container B is the same as the base area of Container A because the water flowed from Container A to Container B. So, the base area of Container B is also 441 cm^2.
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The volume of water in Container B is therefore: Volume = Base Area x Height = 441 cm^2 x 4 cm = 1764 cm^3.
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Since some water flowed from Container A to Container B, we subtract the volume of water in Container B from the initial volume of water in Container A to find the final volume of water in Container A: 5324 cm^3 - 1764 cm^3 = 3560 cm^3.
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Finally, we convert this volume back to liters by dividing by 1000: 3560 cm^3 = 3.56 liters.
So, the amount of water in Container A in the end is 3.56 liters.
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