The Cube

Concept sheet | Mathematics

Just like the regular convex polyhedrons, a cube has very particular characteristics.

Definition

A cube is a polyhedron (also called a prism or regular hexahedron). It has six isometric (congruent) square faces.

​​​When examining its construction, other characteristics become apparent.

The Characteristics of a Cube

To ensure that its definition and construction are respected, it is important to keep the following characteristics in mind.

Important!

The characteristics of a cube are the following:

  • two edges that meet at a common vertex are perpendicular;

  • opposite faces are parallel;

  • adjacent faces are perpendicular;

  • diagonals of the opposite vertices intersect in their middle.

If these properties are respected, the end result will always be a cube.

Example
Cube

Other properties emerge when analyzing the composition of a cube in greater detail.

Find out more!

Barycentre

An intersection point called the “barycenter” is obtained when a diagonal is drawn between each pair of opposite vertices.

Cube with its barycentre drawn

In other words, the barycentre is the centre of a cube’s gravity. When a cube’s weight is distributed equally, the barycentre is then called isobarycentre.