perplexus.info :: Numbers : Integer sides of cuboid

Integer sides of cuboid (Posted on 2021-02-17)

Determine a cuboid with minimal surface area, if its volume is strictly greater than 1000, and the lengths of its sides are integer numbers.

No Solution Yet Submitted by Danish Ahmed Khan

Rating: 3.0000 (1 votes)

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Upper Bound (just guessing)

| Comment 1 of 7

One possibility is a rectangular cuboid with sides of 10, 10 and 11. This has a volume of 1100 and surface area of 4*110+2*100 = 640.

If this is not an answer, then the correct answer must have a surface area of less than or equal to 640.

Posted by Steve Herman on 2021-02-17 08:20:38

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