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    $\begingroup$ How did you find that: "Unfortunately, the suggestion to use ContourPlot3D in that question's comments doesn't work for my actual problem"? I think it works perfectly well. $\endgroup$ Commented Dec 4, 2022 at 18:16
  • $\begingroup$ @azerbajdzan the example in my question is a simplified toy problem, because my actual problem is too complicated to post $\endgroup$ Commented Dec 4, 2022 at 18:40
  • $\begingroup$ ImplicitRegion[And[z < (1 + 0.1 y)/(x + 10^-5), 0 <= x <= 1, 0 <= y <= 20, 0 <= z <= 10 ], {x, y, z}] // BoundaryDiscretizeRegion // MeshPrimitives[#, 2] &//RegionUnion has dimension 2 as checked by RegionDimension. It does not look exactly like the plot in the image but maybe that is because of the scale. $\endgroup$ Commented Dec 4, 2022 at 18:54
  • $\begingroup$ I also tried to find an exact region given that you have equations using ImplicitRegion[ And[z < (1 + 0.1 y)/(x + 10^-5), 0 <= x <= 1, 0 <= y <= 20 , 0 <= z <= 10] // Rationalize[#, 0] & // CylindricalDecomposition[#, {x, y, z}, "Boundary"] &, {x, y, z}] but the region is missing pieces of the original region's surface. $\endgroup$ Commented Dec 4, 2022 at 18:57
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    $\begingroup$ @userrandrand All of your answers were very helpful, so it was hard to pick one. thanks! $\endgroup$ Commented Dec 5, 2022 at 18:15