In the area of convex geometry, the approximation of volumes of convex bodies is an active area of research. Let us recall that the Steiner formula for a compact convex body K and the Euclidean unit ball B in n-dimensional Euclidean space along with a non-negative scalar ``c" , is a polynomial in ``c" of degree n, and the  i-th coefficient of $c^{n-i}$ are known as the i-th mixed volume of K+cB. In this talk, I will present a method to approximate the n-dimensional measure of mixed volumes of the convex body K+cB, where K is a convex polytope.