Housing (1) for a
battery cell arrangement, in particular for use in an electrically powered motor vehicle, comprising: at least one first housing part (2); and at least one second housing part (3), which second housing part (3) is or can be detachably connected to the first housing part (2); in which, in a connected state, a housing interior (5) for accommodating a number of battery cells (11) is formed between the first housing part (2) and the second housing part (3); in which at least one of the two housing parts (2, 3) has the following structure: a first cover layer (2a, 3a) made of sheet
metal; a second cover layer (2b, 3b) made of sheet
metal; an intermediate layer (2c, 3c) arranged between the first cover layer (2a, 3a) and the second cover layer (2b, 3b) made of a shear and compression-resistant, formable material, which material is permanently connected to the cover
layers (2a, 2b, 3a, 3b); in which at least one of the cover
layers (3a) is formed from at least two adjacent
metal sheets (3aa, 3ab), of which at least one (3ab) has a structure, so that channels (6, 6', 6") for a heat-conducting fluid for dissipating heat from the housing (1) are formed between the two metal sheets, in which a supply line (8) and a
discharge line are formed on at least one of the two metal sheets (3aa) for supplying a heat conduction fluid to the channels (6, 6', 6") and for discharging a heat conduction fluid from the channels (6, 6', 6").