A battery cell includes a pouch, an electrolyte material, positive and negative electrodes, and one or more heat conducting members. The pouch has an inner surface defining an internal volume, within which is contained the electrolyte material. The electrodes form current collectors that are positioned within the internal volume of the pouch. The electrode terminals are connected to a respective one of the positive and negative electrodes. Each heat conducting member is in thermal communication with a respective electrode terminal fully within the internal volume of the pouch, and extends between the electrodes and the inner surface of the pouch. The heat conducting members form a parallel heat transfer path within the battery cell. A battery pack includes a housing containing multiple such battery cells.