Aliving room floor 3 m by 4.5 m is constructed of a layer of oak planks 1.2 cm thick laid over plywood 2.0 cm thick. in winter, the basement air is at 15°c, while the living room air is at 20°c. the heat transfer coefficients on the living room floor and the basement ceiling are 3.6 and 6.8 w/m².k, respectively. if the home is heated electrically and the cost of electricity is $0.08 per kwh, estimate the cost per month of the energy lost through the floor. if the room is carpeted with wall-to-wall car- peting 1.6 cm thick (k = 0.06 w/m·k), what would the energy cost be?