Consider a quantum ideal gas inside a cubic vessel of side 5, and suppose that the orbitals of the particles are associated with wave functions that vanish at the surfaces of the cube

Consider a quantum ideal gas inside a cubic vessel of side 5, and suppose that the orbitals of the particles are associated with wave functions that vanish at the surfaces of the cube. Find the density of states in k space. In the thermodynamic limit, show that we have the same expressions as calculated with periodic boundary conditions.