Cuboid
- 4. By Euler's formula the number of faces ('F'), vertices (V), and edges (E) of any convex polyhedron are related by the formula "F + V - E" = 2 In the case of a cuboid this gives 6 + 8 - 12 = 2; that is, like a cube, a cuboid has 6 faces, 8 vertices, and 12 edges. Along with the rectangular cuboids, any parallelepiped is a cuboid of this type, as is a square frustum.
- 5. In a rectangular cuboid, all angles are right angles, and opposite faces of a cuboid are equal. It is also a right rectangular prism. The square cuboid, square box, or right square prism is a special case of the cuboid in which at least two faces are squares. The cube is a special case of the square cuboid in which all six faces are squares. If the dimensions of a cuboid are a, b and c, then its volume is abc and its surface area is 2ab + 2ac + 2bc. Cuboid shapes are often used for:-