a rectangular prism
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As a 2d object, a diamond had four sides. As a 3d object, there are many different types of diamonds, all with their own numbers of vertices, edges and faces.
A cube has 6 faces (all square faces), 8 vertices and 12 edges.
In all 9 edges are present. (3 edges at the triangular base of prism and 3 edges on the opposite triangular face. And, 3 edges connect the two faces of prism.)
A parellelepiped (pronounced parellel pie ped) is any shape with 6 faces and 12 edges. A cuboid, also called a rectangular parallelepiped, is a parallelepiped of which all faces are rectangular. A cube is a cuboid with square faces. A rhombohedron is a parallelepiped with all rhombic faces. A trigonal trapezohedron is a rhombohedron with congruent rhombic faces. http://commons.wikimedia.org/wiki/File:Parallelepipede.png
Euler's definition do not apply to curved solids. faces must be polygons; they cannot be circles. using the conventional definitions of faces, edges and vertices, This question causes frustration for teachers and students. Euler's definitions of edges, faces and vertices only apply to polyhedra. Faces must be polygons, meaning comprised of all straight sides, edges must be straight, and vertices must arise from the meeting of straight edges. As such, a cylinder has no faces, no edges and no vertices, using the definitions as they apply to polyhedra. You need to create a different set of definitions and understandings to apply to solids with curved surfaces.