Methods of making a substantially rectangular glass cover member includes the step (I) of providing a glass tube including a plurality of substantially rectangular glass segments including respective edges that are integrally attached to one another at attachment locations. The plurality of substantially rectangular glass segments are radially arranged about an axis of the glass tube to define an outer periphery of the glass tube. The method can further include the step (II) of separating the plurality of substantially rectangular glass segments from one another at the attachment locations to provide a plurality of substantially rectangular glass cover members. In still further examples, glass tubes include a plurality of glass segments that each includes a convex surface and a substantially flat surface.