Abstract: A system (2) for extruding and drying an extruded honeycomb body (14) which has channels (18) that extend in a longitudinal direction (L) and which channels (18) are each bounded by first channel walls (20a) that extend in a first direction (A) which is transverse relative to the longitudinal direction (L), and by second channel walls (20b) that extend in a second direction (B) in which is also transverse relative to the longitudinal direction (L) comprises: (i) an extruder (16) having an extrusion head (17) for producing the honeycomb body (14) by extrusion; (ii) a microwave oven (4) comprising an arrangement of a plurality of microwave radiators (6), each microwave radiator being for irradiating the honeycomb body with a directional microwave beam in an irradiation direction (S); and (iii) a feed unit (12) adjoining the extruder (16) for transferring the honeycomb body from the extruder (16) into the microwave oven (4), wherein either: (a) the extrusion head (17) of the extruder is oriented in such a way th