The Steiner polynomial of a solid body in R^d is of degree d and describes the volume as a function of the thickening parameter (parallel body). There are d+1 coefficients which are used to define the d+1 intrinsic volumes of the solid body. In d=2 dimensions, the first intrinsic volume is the length, and in d=3 dimensions, it is the total mean curvature of the boundary. Using an integral geometric approach, we modify the formula using persistent moments to get a measure for approximating bodies that converges to the first intrinsic volume of the solid body.