Cube (geometry): Difference between revisions
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==Formulas== | ==Formulas== | ||
A cube with [[edge]]-[[length]] <math>s</math> has: | A cube with [[edge]]-[[length]] <math>s</math> has: | ||
* Four space [[diagonal]]s of | * Four space [[diagonal]]s of same lengths <math>s\sqrt{3}</math>(<math>\sqrt{s^2+s^2+s^2}=\sqrt{3s^2}=s\sqrt{3}</math>) | ||
* [[Surface area]] <math>6s^2</math> | * [[Surface area]] of <math>6s^2</math>. (6 sides of areas <math>s \cdot s</math>.) | ||
* [[Volume]] <math>s^3</math> | * [[Volume]] <math>s^3</math>(<math>s \cdot s \cdot s</math>) | ||
* A [[circumscribe]]d [[sphere]] of [[radius]] <math>\frac{s\sqrt{3}}{2}</math> | * A [[circumscribe]]d [[sphere]] of [[radius]] <math>\frac{s\sqrt{3}}{2}</math> | ||
* An [[inscribe]]d sphere of radius <math>\frac{s}{2}</math> | * An [[inscribe]]d sphere of radius <math>\frac{s}{2}</math> | ||
Revision as of 00:18, 25 January 2016
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. A cube is a Platonic solid. All edges of cubes are equal to each other.
Formulas
has:
- Four space diagonals of same lengths
(
) - Surface area of
. (6 sides of areas 
.) - Volume
(
) - A circumscribed sphere of radius
- An inscribed sphere of radius
- A sphere tangent to all of its edges of radius
(
)
. (6 sides of areas 
.)
(
)
See also
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