The method of moments (MoM) of the volume-surface integral equations(VSIE) is applied to analyze the electromagnetic scattering from the composite objects of perfect electric-conductor and anisotropic inhomogeneous media with arbitrary permittivity and permeability tensors.We adopt Rao-Wilton-Glisson basis functions to expand surface current and the volume equivalent electric and magnetic flux densities using Schaubert-Wilton-Glisson basis function

and we derived the volume-surface Integral equation.Methods for evaluation of the integrals involved in the construction of this matrix is elucidated.Numerical results are presented and compared with the analytical solutions or results of other numerical methods to validate the proposed formulae.