A method of making a vacuum insulated appliance door having an outwardly opening dispensing cavity for dispensing ice and/or liquid water, the method comprising: providing a plurality of core material boards (1, 2, 3, 4, 5, 6, 7); positioning the plurality of core material boards (1, 2, 3, 4, 5, 6, 7) in an envelope defining an inside and having at least one opening to the inside, the envelope comprising substantially impermeable barrier material, whereby the core material boards (1, 2, 3, 4, 5, 6, 7) and the envelope form a generally flat subassembly; foldably interconnecting each core material board (1, 2, 3, 4, 5, 6, 7) to at least one adjacent core material board (1, 2, 3, 4, 5, 6, 7) along a fold line (61, 62, 63, 64, 65, 66); forming a vacuum around the generally flat subassembly in a vacuum to evacuate the inside of the envelope; sealing the at least one opening of the envelope; folding the core material boards (1, 2, 3, 4, 5, 6, 7) relative to one another to form a three dimensional vacuum insulated structure having a dispensing cavity with an opening and five sides (12A, 3A, 4A, 5A, 6A) defined by core material boards (1, 2, 3, 4, 5, 6, 7), the three dimensional vacuum insulated structure further including upright lower and upper portions (1A, 7A) below and above, respectively, the opening of the dispensing cavity; positioning the three dimensional vacuum insulated structure between a door liner and an outer door skin; connecting the outer door skin to the door liner to form an appliance door; forming an access opening (40, 40A, 40B, 164) through at least one of the core material boards (1, 2, 3, 4, 5, 6, 7) defining the dispensing cavity; and positioning a dispensing unit that dispenses at least ice and/or liquid water above the dispensing cavity whereby ice and/or liquid water from the dispensing unit travels downwardly through the access opening (40, 40A, 40B, 164) into the dispensing cavity. providing a plurality of core material boards (1, 2, 3, 4, 5, 6, 7); positioning the plurality of core material boards (1, 2, 3, 4, 5, 6, 7) in an envelope defining an inside and having at least one opening to the inside, the envelope comprising substantially impermeable barrier material, whereby the core material boards (1, 2, 3, 4, 5, 6, 7) and the envelope form a generally flat subassembly; foldably interconnecting each core material board (1, 2, 3, 4, 5, 6, 7) to at least one adjacent core material board (1, 2, 3, 4, 5, 6, 7) along a fold line (61, 62, 63, 64, 65, 66); forming a vacuum around the generally flat subassembly in a vacuum to evacuate the inside of the envelope; sealing the at least one opening of the envelope; folding the core material boards (1, 2, 3, 4, 5, 6, 7) relative to one another to form a three dimensional vacuum insulated structure having a dispensing cavity with an opening and five sides (12A, 3A, 4A, 5A, 6A) defined by core material boards (1, 2, 3, 4, 5, 6, 7), the three dimensional vacuum insulated structure further including upright lower and upper portions (1A, 7A) below and above, respectively, the opening of the dispensing cavity; positioning the three dimensional vacuum insulated structure between a door liner and an outer door skin; connecting the outer door skin to the door liner to form an appliance door; forming an access opening (40, 40A, 40B, 164) through at least one of the core material boards (1, 2, 3, 4, 5, 6, 7) defining the dispensing cavity; and positioning a dispensing unit that dispenses at least ice and/or liquid water above the dispensing cavity whereby ice and/or liquid water from the dispensing unit travels downwardly through the access opening (40, 40A, 40B, 164) into the dispensing cavity.