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Unit Cubes (Posted on 2024-06-06) Difficulty: 3 of 5
An A×B×C rectangular block has been divided into ABC unit cubes. Some of these cubes have faces on the surface of the block, while others are entirely interior.

Show that for any positive integer N there is a block with N times as many interior cubes as surface cubes.

Find the dimensions of such a block having the smallest volume.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
SolutionSolutionBrian Smith2024-06-06 23:24:28
Some ThoughtsPart 2 onlyCharlie2024-06-06 09:22:00
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