A razor blade unit including a housing having a top surface, and a loop disposed on the top surface, the loop having two terminal ends and two exposed opposing edges between the two terminal ends. The loop intersects the top surface at the two terminal ends and the two terminal ends are spaced apart from each other on the top surface. At least a portion of at least one of the two exposed opposing edges has a cutting edge. The razor blade unit provides improved conformity to skin contours.