A cuboid is a three-dimensional shape whose six faces are rectangles. Like other polyhedrons, cuboids follow Euler's formula where the number of faces, vertices, and edges sums to two. A cuboid has six faces, eight vertices, and twelve edges. The volume of a cuboid is calculated by multiplying its three dimensions and its surface area is calculated by adding the areas of all its faces.

4. By Euler's formula the number of faces
('F'), vertices (V), and edges (E) of any convex
polyhedron are related by the formula "F + V - E" = 2
 In the case of a cuboid this gives 6 + 8 - 12 = 2;
that is, like a cube, a cuboid has
6 faces, 8 vertices, and 12 edges.
Along with the rectangular
cuboids, any parallelepiped is a cuboid of this type, as
is a square frustum.

5. In a rectangular cuboid, all angles are right angles, and opposite
faces of a cuboid are equal.
 It is also a right rectangular prism.
The square cuboid, square box, or right square prism is a special
case of the cuboid in which at least two faces are squares.
 The cube is a special case of the square cuboid in which all six
faces are squares.
If the dimensions of a cuboid are a, b and c, then
its volume is abc and its surface area is 2ab + 2ac + 2bc.
Cuboid shapes are often used for:-