The document describes the key geometric properties of several 3D shapes: cubes have 6 faces, 12 edges and 8 vertices; spheres have no faces, edges or vertices; cones have 1 face, no edges and 1 vertex; cylinders have 2 faces and no edges or vertices. It also provides details on rectangular and triangular prisms and pyramids, noting the number of faces, edges and vertices in each case.