Consider n massless non-interacting fermion, in three dimensional box of volume a) find the fermi energy as a function v and n at t-o k. b) find the average energy at t-0k e) find out whether quantum statistical physics (bose or dirac) is needed in the case of conducting electrons in aluminum metal ( ρ-2.7 g/cm) and m-27 g/mole) at t-3000 k.