A rectangular prism of dimensions (x,y,z) will have surface area 2*x*y+2*y*z+2*z*x and volume x*y*z. The idea presented here is this: given a surface area of a rectangular prism, what are the possible (integer) dimensions?

Rectangular prisms with the same surface area don't generally have the same volume. Are there any with the same surface area and volume, but different dimensions?

To facilitate this and other investigations, a JavaScript calculator is provided here. Simply specify a surface area (s), an even integer not less than 6. Then press the "Compute Dimensions" button.

Here's a version of this program in Pascal: sfc.pas

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