A cubical furnace \(2.5 \mathrm{~m}\) on a side is used for heat treating steel plate. The top surface of the furnace consists of electrical radiant heaters that have an emissivity of 0.85 and a power input of \(1.5 \times 10^{5} \mathrm{~W}\). The sidewalls consist of a well-insulated refractory material, while the bottom consists of the steel plate, which has an emissivity of 0.4. Assume diffuse, gray surface behavior for the heater and the plate, and consider conditions for which the plate is at \(300 \mathrm{~K}\). What are the corresponding temperatures of the heater surface and the sidewalls?