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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Improved Upper Bound

| Comment 2 of 7 |

Among rectangular cuboids with both sides the same, 9 X 9 X 13 does best, with a volume of 1053 and a surface area of only 630. I imagine there is a better solution with all three sides different.

Posted by Steve Herman on 2021-02-17 08:29:30

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