In geometry, a cuboid is a solid figure bounded by
six faces, forming a convex polyhedron. There are two competing (but 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 so 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
Rectangular
cuboid
Rectangular Cuboid


Type

Prism

Faces

6 rectangles

Edges

12

Vertices

8

Symmetry group

D_{2h}, [2,2], (*222)

Schläfli symbol

{}x{}x{}

CoxeterDynkin diagram


Properties

convex, zonohedron,isogonal

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 term "rectangular
or oblong prism" is ambiguous. Also the term rectangular parallelepiped or orthogonal parallelepiped is used.
The square cuboid, square box, or right square prism (also ambiguously called 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 (Our solved example in mathguru.com uses
this concept)
and its surface
area is 2ab + 2bc + 2ac.
The length of the space
diagonal is
Cuboid shapes are often used for boxes, cupboards, rooms, buildings, etc. Cuboids are
among those solids that can tessellate
3dimensional space. The shape is fairly versatile in being able to contain
multiple smaller cuboids, e.g. sugar cubes in a box, small boxes in a large
box, a cupboard in a room, and rooms in a building.
http://en.wikipedia.org/wiki/Cuboid
The
above explanation is copied from Wikipedia, the free encyclopedia and is
remixed as allowed under the Creative Commons Attribution ShareAlike 3.0 Unported
License.