# Definition:Cube/Geometry

## Definition

A cube is a hexahedron whose $6$ faces are all congruent squares.

In the words of Euclid:

A cube is a solid figure contained by six equal squares.

It has:

$8$ vertices
$12$ edges
$6$ faces

## Also known as

The word cube is the common name for regular hexahedron.

## Also see

• Results about cubes can be found here.

## Historical Note

According to the Pythagorean tradition, the cube was the symbol for the element earth.

## Linguistic Note

The word hexahedron derives from the Classical Greek:

hex (ἕξ), meaning six
hedron (a form of ἕδρα), meaning base or seat.

The technically correct plural of hexahedron is hexahedra, but the word hexahedrons can often be found.