A rectangular classroom is to be designed so that it has a total volume of 4000 cubic feet. It must be designed to minimize heat loss. Since warm air rises the heat loss throught the ceiling is 4 times the heat loss through the floor. Th heat loss through any interior wlave is tiwce the heat loss throguh the lfoor. The loss through the outer walls is 3 times that throguh the floor the ceiling must be 10 feet high according to the local building coeds.

Required:
Find the dimensions of the room that minimzie the heat loss assume the room justs out form the rest of the building.