The Minimized Cuboidal Tri-section

Geometry Level 4

An unit volume cube is partitioned into 3 cuboid components, whose volumes are 0.105441752, 0.3247179568 and 0.5698402912.

What is the minimum sum of the total combined surface area(s) of these 3 parts?

Provide 5 decimal places for the solution.


The answer is 8.86031.

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