A cubical glass melting furnace has exterior dimensions of width \(W=5 \mathrm{~m}\) on a side and is constructed from refractory brick of thickness \(L=0.35 \mathrm{~m}\) and thermal conductivity \(k=1.4 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}\). The sides and top of the furnace are exposed to ambient air at \(25^{\circ} \mathrm{C}\), with free convection characterized by an average coefficient of \(h=5 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}\). The bottom of the furnace rests on a framed platform for which much of the surface is exposed to the ambient air, and a convection coefficient of \(h=5 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}\) may be assumed as a first approximation. Under operating conditions for which combustion gases maintain the inner surfaces of the furnace at \(1100^{\circ} \mathrm{C}\), what is the rate of heat loss from the furnace?