  We show that in multidimensional Kaluza-Klein models the formula of the
perihelion shift is $D\pi m'^2c^2r_g^2/[2(D-2)M^2]$ where $D$ is a total number
of spatial dimensions. This expression demonstrates good agreement with
experimental data only in the case of ordinary three-dimensional $(D=3)$ space.
This result does not depend on the size of the extra dimensions. Therefore,
considered multidimensional Kaluza-Klein models face a severe problem.
