12 infinite long wire of uniform linear charge density () are passing along the 12 edges of a cube. Find the electric flux through any face of cube? What i did was i considered the surface of cube now since by symmetry all faces will have equal flux..

use Gauss law 6[flux of one face] = 12(lemda)l/(epsilon) But my answer is not coming correct . The answer given in the book is (lemda)l/2(epsilon)