In this talk, we will study a class of spectral volume (SV) method for the hyperbolic conservation laws in the Petrov-Galerkin framework. It is well known that the SV method is equivalent to the discontinuous Galerkin (DG) method with an appropriate choice of the subdivision points, therefore it is natural to analyze the SV method in the Galerkin form and derive the analogous theoretical results as in DG method. Inspired by [Cao-Zou-JSC2022], we consider a class of subdivision points, which are the zeros of a specific polynomial with a parameter in it. We present the information of the zeros of the given polynomial, and investigate some properties of the piecewise constant functions under this subdivision, including the orthogonality between the trial solution space and test function space. With the aid of these properties, we are able to derive the energy stability, optimal a priori error estimates and superconvergence. Particularly, we adopt the correction technique [Cao-Zhang-Zou-SINUM2014] to obtain the superconvergence of the numerical solution, and show the order of superconvergence will be different with different choice of the subdivision points, coincided with the results given in [Cao-Zou-JSC2022]. In the numerical experiments, by choosing different parameters in the SV method, the theoretical findings are confirmed by the numerical results.