A cartridge for an e-vaping device includes a reservoir configured to hold a pre-vapor formulation and a channel structure that includes a channel surface with one or more open-microchannels. An open-microchannel in the channel structure may be in fluid communication with the reservoir and may transport pre-vapor formulation from the reservoir to a heating element based on capillary action of the pre-vapor formulation through the open-microchannels. The heating element may vaporize the pre-vapor formulation drawn through one or more open-microchannels. The cartridge may be independent of fibrous dispensing interfaces, including one or more wicks. Fabrication of such a cartridge may be simplified, faster, cheaper, some combination thereof, or the like relative to fabrication of a cartridge that includes a fibrous or soft dispensing interface to draw pre-vapor formulation from a reservoir to a heating element.