Summary: The purpose of this paper is to describe the mathematics that emanates from the construction of an origami box. The design of this box was inspired by the design of a traditional origami masu box. We first construct a simple origami box from a rectangular sheet and then discuss some of the mathematical questions that arise in the context of geometry and algebra. The activity can be used as a context for illustrating how algebra and geometry, like other branches of mathematics, are interrelated.