For an efficient utilization of elastomeric elements in modern mechanical engineering, including vibration insulation, it is necessary to be able to calculate the characteristics of compressive stiffness of elastomeric elements. All analytical solutions for rubber products are approximate. There are no exact solutions for rubber products. It is therefore very important to be able to evaluate the accuracy of the solutions. The paper considers a technique to obtain accurate estimates for the dependence of the force-sediment t precipitate. The essence of the method boils down to that one and the same problem is solved, first using the principle of minimum total potential energy, and then using the principle of minimum additional energy (principle of virtual work). The solution obtained using the principle of minimum potential energy is overestimated in strength, that is real deposit will always be more derived. In its turn, the solution obtained using the principle of minimum additional energy is too low in strength, that is real deposit will always be less than received. As a result, we obtain the boundary, which is the real solution. The technique is considered in an example of compression of rectangular rubber products. Solutions are obtained at weak compressibility of rubber. Also, a special case not considering the weak compressibility of rubber is analyzed. Only small deformations (10–15 %) are considered. All results are displayed graphically, and all calculations and plotting are done in the program Mathcad