Isoperimetrical problems in ℝ2 and ℝ3 belong to the classical problems of geometry. As their name indicates one has to find geometrical bodies or areas with maximal volume, within a particular class of bodies or areas with equal surface measure. In the 19th century the isoperimetrical problem was solved for several polyhedron classes in ℝ3 [1, pp. 133-137]. Since then, a lot of research work has been devoted to more general problems where the admissable bodies were contained in the class of all compact convex subsets of ℝn or in a specific subclass, respectively. Their solutions usually can be characterized as zero sets of algebraic inequalities in surface measure and volume. The derivation of these inequalities and their solutions usually require sophisticated techniques. Of course, assertion (*) below is the expected generalisation of the well-known two-dimensional case.