O'Halloran numbers: Difference between revisions
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The surface area of a cuboid so-defined is two times the length times the width, plus two times the length times the height, plus two times the width times the height. A cuboid will always have an even integer surface area. The minimum surface area a cuboid may have is 6; one where the '''l''', '''w''', and '''h''' measurements are all 1
2 × ( l × w + w × h + h × l )
2 × ( 1 × 1 + 1 × 1 + 1 × 1 ) = 6
2 × ( 2 × 1 + 1 × 1 + 1 × 2 ) = 10
In fact, there are 16 even integer values greater than 6 and less than 1000 which can not be the surface area of any integer cuboid.
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