Suppose that I have an aluminum cube with side lengths 10 cm. Suppose that I uniformly and continuously apply a temperature of 60 degrees celcius to one of its sides. The medium surroudning it is air with a temperature of 27 degrees celcius. After t seconds, what is the temperature of the side opposite to the side to which a temperature of 60 degrees is applied. Notice that the sides are not insulated and so heat can be lost. I would really appreciate it if someone would solve this for me.
Note: This is not homework, and I am not at the age to receive such homework. This is simply something that I am interested about.