Each edge of a cube is colored either red or black. Every face of the cube has at least one black edge. The smallest possible number of black edges is <spanclass=′latex−bold′>(A)</span>2<spanclass=′latex−bold′>(B)</span>3<spanclass=′latex−bold′>(C)</span>4<spanclass=′latex−bold′>(D)</span>5<spanclass=′latex−bold′>(E)</span>6