  A cubic partition is an integer partition wherein the even parts can appear
in two colors. In this paper, we introduce the notion of generalized cubic
partitions and prove a number of new congruences akin to the classical
Ramanujan-type. We emphasize two methods of proofs, one elementary (relying
significantly on functional equations) and the other based on modular forms. We
close by proving analogous results for generalized overcubic partitions.
