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Filling a Box (Posted on 2024-05-06) Difficulty: 3 of 5
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 Submitted by K Sengupta    
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  Subject Author Date
Some Thoughtsre: AnswerBrian Smith2024-05-14 12:34:23
Some ThoughtsAnswerBrian Smith2024-05-09 23:23:43
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