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.

Related Topics:
Three-dimensional - Platonic solid - Square

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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.

Related Topics:
Prism - Parallelepiped - Trapezohedron - 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).

Related Topics:
Volume - Cuboid

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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.

Related Topics:
Ohm - Resistor

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