The invention features a razor for dispensing a fluid during shaving. The razor includes a handle and a razor cartridge removably attached to the handle. The razor cartridge includes a housing having a front surface and a rear surface and an aperture that extends from the rear surface to the front surface. A cartridge connecting structure is attached to the rear surface of the housing and includes a fluid dispensing member disposed therein. The fluid dispensing member includes a converging flowpath that is in fluid communication with the aperture in the housing.