# Cuboid

Cuboid with space diagonal  d
Unfolded mesh of a cuboid

A cuboid (also right- sided and sometimes right-sided ) is a body that is bounded by six rectangles .

A cuboid possesses

Opposite surfaces of a cuboid are congruent (congruent).

Formulas for the cuboid
Edge lengths ${\ displaystyle a, b, c}$
volume ${\ displaystyle V = a \ cdot b \ cdot c}$
Surface area ${\ displaystyle A _ {\ mathrm {O}} = 2 \ cdot (a \ cdot b + a \ cdot c + b \ cdot c)}$
Length of the room diagonals ${\ displaystyle d = {\ sqrt {a ^ {2} + b ^ {2} + c ^ {2}}}}$

## Special cuboids

In the special case of equal edge lengths , in which all surfaces of the cuboid are squares , a cube results . In the event that exactly two edge lengths are the same, the result is a square straight prism ( ), one speaks occasionally of a square plate ( ) or a square column ( ). ${\ displaystyle a = b = c}$${\ displaystyle a = b \ neq c}$${\ displaystyle a = b> c}$${\ displaystyle a = b

## symmetry

Cuboids are point-symmetrical . The point of symmetry is the intersection of the space diagonals. In contrast to the cube , the room diagonals do not represent (three-fold) axes of rotation.