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# How much Water Fits in These Containers? (Square and Circle)?

Topic: Application and problem solving math
June 19, 2019 / By Dorris
Question: This is not actually a math "problem"... I really need to know this for real world application. There are Four Square Containers and One Circle Container, with the dimensions below. 1) Square Container (27Gallon): 29" L x 20" W x 15" H 2) Circle Container (20Gallon): 19.5" W x 19.5" D x 22.875" H If all the square containers are only filled four inches from the top (so the bottom is filled up, but the top four inches are empty).. [Or Reworded differently.... all containers are filled up from the bottom with 10" worth of water.) A) How Much Water fits in One Square Container? B) In All Five Containers Total? Thanks guys! So to be clear; The Four square containers are filled up 10" from the bottom (or the top 4" of the container is empty). The Circle container is also filled up 10" from the bottom (but there is greater empty space above as this container is larger.)

## Best Answers: How much Water Fits in These Containers? (Square and Circle)?

Catherine | 8 days ago
That's not a *square* container. A square is a 2D shape and you have a 3D shape. Even if you were to use the 3D shape (cube) that's not a cube because the sides have different lengths. So the first is a rectangular prism. The second shape is also not a "circle" container. It sounds like you meant to say cylinder with a circular base with a diameter of 19.5" This is solved pretty easily but I think you'll learn more if you try it yourself. The formula for the volume of your shapes is: V = (Area of base) * (height) For a rectangular prism, the base is a rectangle (length) * (width): V = (length) * (width) * (height) If you want the capacity of the container, use the full height of 15" If you want the amount of water if 10" deep, use a height of 10" For the cylinder, the base is a circle: A = πr² where r is the radius. The radius is half the diameter. V = π(9.75)² * (height) Again, if you want the capacity, use the full height of 22.875" but if you want the volume to 10", use that as the height instead. P.S. I also noticed you said "4 inches from the top" which is not 10 inches for these containers. If you really meant that, the first would be 11" high and the second would be 18.875" high. P.P.S. That will give you the answer in cubic inches. If you want that in gallons, use this conversion. 1 gallon = 231 cubic inches. In other words, to get gallons, divide the volume in cubic inches by 231.
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Originally Answered: How much Water Fits in These Containers? (Square and Circle)?
That's not a *square* container. A square is a 2D shape and you have a 3D shape. Even if you were to use the 3D shape (cube) that's not a cube because the sides have different lengths. So the first is a rectangular prism. The second shape is also not a "circle" container. It sounds like you meant to say cylinder with a circular base with a diameter of 19.5" This is solved pretty easily but I think you'll learn more if you try it yourself. The formula for the volume of your shapes is: V = (Area of base) * (height) For a rectangular prism, the base is a rectangle (length) * (width): V = (length) * (width) * (height) If you want the capacity of the container, use the full height of 15" If you want the amount of water if 10" deep, use a height of 10" For the cylinder, the base is a circle: A = πr² where r is the radius. The radius is half the diameter. V = π(9.75)² * (height) Again, if you want the capacity, use the full height of 22.875" but if you want the volume to 10", use that as the height instead. P.S. I also noticed you said "4 inches from the top" which is not 10 inches for these containers. If you really meant that, the first would be 11" high and the second would be 18.875" high. P.P.S. That will give you the answer in cubic inches. If you want that in gallons, use this conversion. 1 gallon = 231 cubic inches. In other words, to get gallons, divide the volume in cubic inches by 231.
Originally Answered: How much Water Fits in These Containers? (Square and Circle)?
The "square container" if filled with 10" of water will contain 5800 cu.in. or 25.1 US gallons. Four of them will contain 100.4 US gallons. As the other answer said, at first you said 4" from the top, which would be 11", not 10", so 10% more. About 110 gallons. If you're filling it with 10" of water, the round container will hold 2986 cu.in. or 12.9 US gallons Total: 100.4 + 12.9 = 113.3 gallons.

Annalee
The "square container" if filled with 10" of water will contain 5800 cu.in. or 25.1 US gallons. Four of them will contain 100.4 US gallons. As the other answer said, at first you said 4" from the top, which would be 11", not 10", so 10% more. About 110 gallons. If you're filling it with 10" of water, the round container will hold 2986 cu.in. or 12.9 US gallons Total: 100.4 + 12.9 = 113.3 gallons.
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