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Latest: Filling a Box

Show that it is possible to fill a rectangular box with rectangular blocks so that:

(1) the dimensions of all of the blocks are integers,
(2) no edge of a block coincides with an entire edge of the box, and
(3) no two blocks have identical faces (that is, you could not have blocks of size A×B×C and A×B×D).

Find the box of least volume for which this is possible.

(No Solution Yet, 2 Comments)

Submitted on 2024-05-06 by K Sengupta

Page 2 of 36

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