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In geometry, a cuboid is a solid figure bounded by six faces, forming a convex polyhedron. There are two competing incompatible definitions of a cuboid in the mathematical literature. In the more general definition of a cuboid, the only additional requirement is that these six faces each be a quadrilateral, and that the undirected graph formed by the vertices and edges of the polyhedron should be isomorphic to the graph of a cube. Alternatively, the word "cuboid" is sometimes used to refer to a shape of this type in which each of the faces is a rectangle, and in which each pair of adjacent faces meets in a right angle; this more restrictive type of cuboid is also known as a right cuboid, rectangular box, rectangular hexahedron, right rectangular prism, or rectangular parallelepiped.

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