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Drop into the Bucket (Posted on 2010-02-03) Difficulty: 3 of 5
Consider a bucket in the shape of a cube 1 foot on a side and filled with water.

A smaller cube shaped container, open at the top, is pushed straight down into the bucket without rotating it. At first it displaces some water which spills out of the bucket but when this container is pushed down far enough the extra water will pour into it.

If this container is very small it will be completely filled and sink to the bottom. If it is very big it will not end up with much water in it. What dimensions of this cubic container will maximize the volume that ends up inside of it.

See The Solution Submitted by Jer    
Rating: 4.0000 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: No Subject | Comment 8 of 9 |
(In reply to No Subject by Dej Mar)

I'm sure you mean 0.6823278038280193273694837397  feet rather than 0.6823278038280193273694837397 cubic feet.
  Posted by Charlie on 2010-02-08 12:09:24

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