Difference between revisions of "Cube (geometry)"
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| − | A '''cube''', or regular '''hexahedron''', is a solid composed of six [[Square (geometry) | square]] | + | A '''cube''', or regular '''hexahedron''', is a solid composed of six [[Square (geometry) | square]] [[face]]s. A cube is dual to the regular [[octahedron]] and has [[octahedral symmetry]]. |
==Formulas== | ==Formulas== | ||
| + | For a cube with [[edge]]-[[length]] <math>s</math>, we have: | ||
* Space diagonal: <math>s\sqrt{3}</math> | * Space diagonal: <math>s\sqrt{3}</math> | ||
* Surface [[area]]: <math>6s^2</math> | * Surface [[area]]: <math>6s^2</math> | ||
* [[Volume]]: <math>s^3</math> | * [[Volume]]: <math>s^3</math> | ||
| − | * [[Radius]] of | + | * [[Radius]] of [[circumscribe]]d [[sphere]]: <math>\frac{s\sqrt{3}}{2}</math> |
* [[Radius]] of sphere tangent to edges: <math>\frac{s\sqrt{2}}{2}</math> | * [[Radius]] of sphere tangent to edges: <math>\frac{s\sqrt{2}}{2}</math> | ||
| − | * [[Radius]] of | + | * [[Radius]] of [[inscribe]]d sphere: <math>\frac{s}{2}</math> |
==See also== | ==See also== | ||
* [[Hexahedron]] | * [[Hexahedron]] | ||
* [[Prism]] | * [[Prism]] | ||
| − | |||
Revision as of 07:48, 19 July 2007
This article is a stub. Help us out by expanding it.
A cube, or regular hexahedron, is a solid composed of six square faces. A cube is dual to the regular octahedron and has octahedral symmetry.
Formulas
For a cube with edge-length 
, we have:
- Space diagonal:
- Surface area:
- Volume:
- Radius of circumscribed sphere:
- Radius of sphere tangent to edges:
- Radius of inscribed sphere:
