Box Volume and Surface Area

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A box, cuboid or rectangular parallelepiped has three pairs of rectangular faces. The box has a volume of and a surface area equal to the sum of the areas of its six rectangular sides.

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Integer-edged boxes with the same volume and surface area and include 4×5×20, 3×8×24 and 3×7×42. Seven other boxes of this type have all edges less than 19.

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Contributed by:Ed Pegg Jr (May 2018)
Open content licensed under CC BY-NC-SA


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