# Cube

A **cube** is a type of polyhedron with all right angles and whose height, width and depth are all the same. It is a type of rectangular prism, which is itself a type of hexahedron.

A cube is one of the simplest mathematical shapes in space. Something that is shaped like a cube can be called *cubic*.
Surface area of cube=6l^2
Lateral Surface area of cube=4l^2
Volume of cube=l^3

## Relative 2-dimensional shape

The basic difference between a cube and a square is, a cube is a 3D figure (having 3 dimensions) i.e. length, breadth and height while a square has only 2 dimensions i.e. length and breadth. The 2-dimensional (2D) shape (like a circle, square, triangle, etc.) that a cube is made of is squares. The sides (faces) of a cube are squares. The edges are straight lines. The corners (vertices) are at right angles. A cube has 8 corners, 12 edges and 6 faces, as in the most usual kind of dice. A tesseract carries this idea into the fourth dimension (4D) and is made of 8 cubes.

## Volume

- The volume of a cube is the length of any one of the edges (they are all the same length so it does not matter which edge is used)
*cubed*. - This means you multiply the number by itself, and then by itself again.
- If the edge is named 'd' (See Diagram), the equation would be this: Volume=d×d×d (or Volume=d
^{3}).

## Cube-shaped figures

## Cube Media

Octahedral symmetry tree