Formulae
For a cube of edge length ,
| surface area | |
| volume | |
| face diagonal | |
| space diagonal | |
| radius of circumscribed sphere | |
| radius of sphere tangent to edges | |
| radius of inscribed sphere | |
| angles between faces (in radians) |
As the volume of a cube is the third power of its sides, third powers are called cubes, by analogy with squares and second powers.
A cube has the largest volume among cuboids (rectangular boxes) with a given surface area. Also, a cube has the largest volume among cuboids with the same total linear size (length+width+height).
Read more about this topic: Cube
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“I don’t believe in providence and fate, as a technologist I am used to reckoning with the formulae of probability.”
—Max Frisch (1911–1991)