In a first embodiment, a battery pouch is provided with a pouch edge positioned to project from an underside of the battery. The pouch edge is sealed and folded toward the underside of the battery. The folded pouch edge increases a vertical dimension of the resulting battery assembly, but not a horizontal dimension. In a second embodiment, a battery pouch is provided with a first pouch edge positioned on a first edge of the battery and a second pouch edge positioned on a second edge of the battery. The battery pouch is configured such that at least one cut-out portion is positioned between either the first and second edge of the battery or between the first and second pouch edges. When the first and second ouch edges are sealed and folded upward, the folding does not cause creases that increase a horizontal dimension of the battery assembly.