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.
$$d=a \sqrt{3}$$
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