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Encyclopedia > Cuboid
Cuboid
Cuboid
Type Prism
Faces 6 rectangles
Edges 12
Vertices 8
Symmetry group D2h (*222)
Properties convex, zonohedron, isogonal

In geometry, a cuboid (also called a rectangular prism) is a solid figure bounded by six rectangular faces: a rectangular box. 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 is used. Image File history File links Download high-resolution version (1003x594, 16 KB) Cuboid (or rectangular prism) image, with height, width, depth labels. ... In geometry, an n-sided prism is a polyhedron made of an n-sided polygonal base, a translated copy, and n faces joining corresponding sides. ... A 5 by 4 rectangle In geometry, a rectangle is defined as a quadrilateral where all four of its angles are right angles. ... The symmetry group of an object (e. ... This article deals with three infinite series of point groups in three dimensions which have a symmetry group which as abstract group is a dihedral group Dihn ( n ≥ 2 ). See also point groups in two dimensions. ... Look up Convex set in Wiktionary, the free dictionary. ... A zonohedron is a convex polyhedron where every face is a polygon with point symmetry, or equivalently, symmetry under rotations through 180°. The regular polygons with such symmetry are those with an even number of sides, so the zonohedra with regular polygons for sides are easily enumerated: Of the Platonic... In geometry, a polyhedron (or tiling) is isogonal or vertex-transitive if all its vertices are the same. ... For other uses, see Geometry (disambiguation). ... This article is about the receptacle or vessel called a box. ... This article is about angles in geometry. ... As an abstract term, congruence means similarity between objects. ... In geometry, an n-sided prism is a polyhedron made of an n-sided polygonal base, a translated copy, and n faces joining corresponding sides. ... In geometry, a parallelepiped (now usually pronounced , traditionally[1] in accordance with its etymology in Greek παραλληλ-επίπεδον, a body having parallel planes) is a three-dimensional figure like a cube, except that its faces are not squares but parallelograms. ...


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 prism in which all faces are squares. Three dimensions A cube (or hexahedron) is a Platonic solid composed of six square faces, with three meeting at each vertex. ...


If the dimensions of a cuboid are a, b and c, then its volume is abc and its surface area is 2ab + 2bc + 2ac. For other uses, see Volume (disambiguation). ... Area is the measure of how much exposed area any two dimensional object has. ...


The length of the space diagonal is d = sqrt{a^2+b^2+c^2} . In a magic cube, the four space diagonals are the lines that go from a corner of the cube, through the center of the cube , to the opposite corner. ...


It is a convex polyhedron. It contains faces that enclose a single region of space. It has 6 faces, 8 vertices, and 12 edges. Look up Convex set in Wiktionary, the free dictionary. ... For the game magazine, see Polyhedron (magazine). ... In geometry, a face of a polyhedron is any of the polygons that make up its boundaries. ... In geometry, a vertex (plural vertices) is a special kind of point, usually a corner of a polygon, polyhedron, or higher dimensional polytope. ...


Euler's formula (the number of faces (F), vertices (V), and edges (E) of a polyhedron are related by the formula F + V = E + 2 gives here 6 + 8 = 12 + 2. In algebraic topology, the Euler characteristic is a topological invariant, a number that describes one aspect of a topological spaces shape or structure. ...


Cuboid shapes are often used for boxes, cupboards, rooms, buildings, etc. Cuboids are among those solids that can tesselate 3-dimensional 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. This article is about the receptacle or vessel called a box. ... Decorative crockery and bibelots in vitré armoire or vitrina A cupboard (IPA: ) is a type of cabinet, often made of wood, used indoors to store household objects such as food and crockery, and protect them from dust and dirt. ... A room, in architecture, is any distinguishable space within a structure. ... In geometry, a honeycomb is a name for a space-filling tessellation, just as a tiling is a tessellation of a plane or 2-dimensional surface. ... This article is about sugar as food and as an important and widely-traded commodity. ...


See also

  • Hyperrectangle

This article does not cite any references or sources. ...

External links

Eric W. Weisstein (born March 18, 1969, in Bloomington, Indiana) is an encyclopedist who created and maintains MathWorld and Eric Weissteins World of Science (ScienceWorld). ... MathWorld is an online mathematics reference work, sponsored by Wolfram Research Inc. ... Math Is Fun (or Maths Is Fun in British English) is an educational website maintained by Rod Pierce devoted to the concept that mathematics is, indeed, fun. ...

 
 

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