An ice cube tray assembly having an insulating box, a lower chamber and an upper chamber. The insulating box having a base and an upstanding structure, with a cavity. A top surface has an inner and outer perimeter, with the inner perimeter defining the opening of the cavity. The lower chamber includes an upper deck portion and container structure depending therefrom. The upper chamber includes a top wall and an inner container structure depending from the top wall. The upper and lower chambers are positioned in sealing engagement.