In geometry, a cube is a regular hexagon with six square faces. The cube is also a square parallelepiped, an equilateral cuboid and a right rhombohedron. It is a regular square prism in three orientations, and a trigonal trapezohedron in four orientations. The cube is the only regular hexahedron and is one of the five Platonic solids.
Surface area of a cube
$$S=6a^{2},$$
where,
a— cube side length.
Volume of a cube
$$V=a^{3},$$
a— cube side length.
Face diagonal
Face diagonal of a cube is a diagonal on one of the faces.
$$d=a \sqrt{2}$$
Space diagonal
Space diagonal (also interior diagonal or body diagonal) of a cube is a line connecting two vertices that are not on the same face.
$$d=a \sqrt{3}$$
See also:
Frequently asked questions
How do you calculate the surface area of a cube?
The surface area of a cube is six times the square of its side length.
How do you calculate the volume of a cube?
The volume of a cube is the cube of its side length.
What is the difference between face diagonal and space diagonal?
The face diagonal lies on one square face, while the space diagonal runs through the interior of the cube.
