Cube


 
 
Cube

This article is about the geometric shape. For other meanings of the word "cube", see cube (disambiguation)

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A cube (or hexahedron) is a three-dimensional Platonic solid composed of six square faces, with three meeting at each vertex.

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The cube is a special kind of square prism, of rectangular parallelepiped and of 3-sided trapezohedron, and is dual to the octahedron.

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Canonical coordinates for the vertices of a cube centered at the origin are (?1,?1,?1), while the interior of the same consists of all points (x0, x1, x2) with -1 < xi < 1.

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The area A and the volume V of a cube of edge length a are:

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:A=6a^2

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:V=a^3

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A cube construction has the largest volume among cuboids (rectangular boxes) with a given surface area (e.g. paper, cardboard, sheet metal, etc.). Also, a cube has the largest volume among cuboids with the same total linear size (length + width + height).

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The cube is unique among the Platonic solids for being able to tile space regularly.

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If each edge of a cube is replaced by a one ohm resistor, the resistance between opposite vertices is 5/6 ohms, and that between adjacent vertices 7/12 ohms.

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__TOC__

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Three-dimensional: REDIRECT Three-dimensional space...

Platonic solid: In solid geometry and some ancient physical theories, a Platonic solid is a convex polyhedron with...

Square: A square as a geometric shape is described and illustrated at square (geometry). There are other concepts derived from it:...


Cube related Images and Photos (experimental)

Cube  c.1991
Cube c.1991
Big Cube, The (DVD)
Big Cube, The (DVD)
The Cube
The Cube
Ice Cube
Ice Cube
Ice Cube
Ice Cube
Quad Cube
Quad Cube
Rubiks Cube 4 x 4
Rubiks Cube 4 x 4
XTreme Cube
XTreme Cube
Rubiks Cube 3x3
Rubiks Cube 3x3
Rubiks Cube 5x5
Rubiks Cube 5x5
36 Cube Puzzle Game
36 Cube Puzzle Game
Cube and Butterfly
Cube and Butterfly

~ Table of Content ~

Introduction
Related polyhedra
The isometries of the cube
Four dimensions
Arbitrary dimensions
See also
External links
 
FR: Cube


 

~ Related Subjects ~

Solid geometry (1) - Convex (1) - Ohm (1) - Resistor (1) - Shape (1) - Square (geometry) (1) - Polyhedron (1) - Geometric (1) - Cuboid (1) - Square (1) - Prism (1) - Three-dimensional (1) - Platonic solid (1) - Octahedron (1) - Volume (1) -
 

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