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Scaling an Aquarium: Effect on Surface Area and Volume 1 (Challenge)

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Uploaded by on Aug 4, 2011

"Problem: I have little fish in this little 3.5 gallon aquarium. I want to get fish that are three times longer, wider, and taller. My new aquarium is three times longer in every dimension. How many gallons of water will it hold?

1. How many square inches of glass are there in the four sides of the small aquarium?
2. Determine the area of glass needed for the bigger aquarium.
3. Show how you can determine the number of gallons the bigger aquarium will hold.

In this video, we answer questions based on the surface area and volume of an aquarium.

This problem was selected from the AIMS Essential Math book Effects of Changing Lengths. http://bit.ly/emlengths

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Education

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