In this paper, the authors show the method for calculating the volume of subregion in Euclidean space, and get calculation formulation for subregion in Euclidean space such as hyper-ellipsoid, simplex of n-dimension and Euclidean polyhedron.

• 提供了欧氏空间Rn中一些较特殊区域的体积求法,并相应地得到了欧氏空间Rn中椭圆超球体,n维单形,以及n+1面体的体积计算公式。