For each non-snub Archimedean solid with icosahedral symmetry we construct its best ?rhombic approximate?. By rhombic solid we mean a polyhedron that consists of prolate and oblate golden rhombohedra. In the solution we also use halves of rhombic dodecahedron of the second kind, which in turn consists of two halves of the rhombohedra. Some combinations of Archimedean solids are equidecomposable to some combinations of their approximates, and can be dissected to a cube.