The method presented in the preceding article is applied in this paper to the analysis of X-ray spectra of cubic phases formed in the following systems: 1,2-dilauoryl-sn-glycero-3-phosphoethanolamine, 1,2dielaidoyl-sn-glycero-3-phosphoethanolamine, 1,2-dioleoyl-sn-glycero-3-phosphocholine, and didodecyldimethylammonium bromide lipids in water; glycerolmonooleate amphiphilic molecules with Polaxamer P407 in water; R(6)(F)SigmaEO(2) fluorinated surfactants in aqueous solutions and polimerized system formed in the cetyltrimethylammonium chloride with tetraethyl orthosilicate additives. We show that our analysis allows determination of the width of the layer decorating the periodic surface in the cubic phase, the composition of the cubic phase in the system with excess water, the type of the cubic phase (direct or inverse), surface area per head of the amphiphilic molecule, the volume fractions of the coexisting cubic phases, the epitaxial relations between the coexisting phases, and the kinetic pathways in the phase transitions between ordered phases.