A house has a volume of 450 m^3. The air-conditioning system is designed to replace the air in the house every hour, using ducts that have a square cross section. Assume that we can treat air as an incompressible fluid. (a) The air in the ducts flows at 5.0 m/s, find the width of the ducts. (b) How big would the ducts need to be if the owner wanted the air to flow at 1.0 m/s?