A rapidly-orodispersible dosage form comprising a porous, bound-powder matrix and one or more internal cavities is provided, as well as three-dimensional printing methods for making the same. Each internal cavity is configured to contain one or more payloads, particularly pharmaceutical medicaments, while isolating the payloads from the external environment outside of the dosage form. Each payload can be contained within its cavity in its native form without having to be combined with the bound-powder matrix or binding liquid. Dosage forms can disintegrate in water or saliva in less than two minutes, independently of the payload(s) or medicament(s) contained within. The dosage forms can be formed as unitary tablets, or as two-piece tablets comprising a container body and a lidding body that are secured together to isolate the one or more cavities and their payloads inside.