How to get the smallest surface area with 12 cubes with 1cm side length?

I don't think about it upstairs
The more surfaces wrapped in the volume, the smaller the surface area,
Therefore, the smallest one should be 2x2x3 cuboid
In fact, it can be strictly proved that let the length, width and height be a, B and C
So ABC = 12, the surface area is s = 2x (AB + BC + AC) = 24x (1 / A + 1 / B + 1 / C)
After that, all possible integer solutions are listed, and the target solution can be easily found~

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