The Compendium Geometry is an eBook providing facts, formulas and explanations about geometry. 
Home Analytic Geometry 3D Solids Cuboid  
See also: Prism, Parallelepiped  
Search the VIAS Library  Index  
Cuboid and CubeA cuboid (a "box" in everyday parlance) is also known as a rectangular parallelepiped or as a right prism. A special case of the cuboid is the cube, with all sides equal: a = b = c A cuboid with sides and face diagonals of integer length is called a Euler brick. Examples for an Euler brick are a=240, b=117, c=44, or a=275, b=252, c=240. If we require the space diagonal to be also of integer length, we get a perfect cuboid. However, the perfect cube has not yet been found, despite an exhaustive search for all "odd sides" up to 10^{10}.The volume V of the cuboid is defined by V = abc. The surface S of a cuboid is given byS = 2(ab+bc+ac) The length of the space diagonal d_{s} can be calculated using


Home Analytic Geometry 3D Solids Cuboid 