A cubic container with liquid nitrogen at $-200C$ is placed inside a vacuumed room to decrease

heat losses. The container has an internal side length of $1$ m and an external side length of $1\mathrm{.}1$ m $.$

The temperature of the internal surface of the container is $-200C,$ while the external surface is

$-190C.$ The thermal conductivity of the material the container is made off is $4\frac{(W)}{(m)(K)}.$ Knowing that

the emissitivity of the external surface of the container is $0\mathrm{.}8,$ compute the temperature of the surface

of the walls of the room. Assume that all six faces exchange heat with the surroundings by radiation.

To compute the surface of conduction across each face, use the internal surface area of the face. For

radiation on the outside, use the external surface area.