Polyhedron with twenty six faces: eight equilateral triangles and eighteen squares. It has forty eight edges and twenty four vertices. It is a Archimedean solid as it is a convex uniform polyhedra composed of regular polygons meeting in identical vertices, excluding the five Platonic solids (which are composed of only one type of polygon) and excluding the prisms and antiprisms.

The surface area of a rhombicuboctahedron with edge length $a$ is given by the formula:

The volume of a rhombicuboctahedron with edge length $a$ is given by the formula: