What is proposed is a building having at least one reinforced concrete floor which has, for heating and for cooling the interior covered by the reinforced concrete floor, a water-based cooling/heating system as circuit system integrated into the reinforced concrete floor and an air-conducting pipe system which serves to feed fresh air into the interior and which has a feed-air-conducting part, wherein the pipe system has at least one main feed-air duct and portions branching off from the main feed-air duct and leading to individual subregions of the interior, wherein at least one portion of the feed-air-conducting part of the pipe system that is assigned to a respective subregion of the interior is integrated into the reinforced concrete floor of the interior and opens via an inflow opening into the interior such that the temperature of the pre-heated fresh air when flowing through the portion equals the temperature of the water-heated reinforced concrete floor. The building is distinguished in that the main feed-air duct is also integrated into the reinforced concrete floor.