right-angled hexahedron, like a cube but with edges not necessarily equal in length

A cuboid is a 3D shape. Cuboids have six faces, which form a convex polyhedron. Broadly, the faces of the cuboid can be any quadrilateral. More narrowly, rectangular cuboids are made from 6 rectangles, which are placed at right angles. A cuboid that uses all square faces is a cube. Properties of a Cuboid are:

  • It has 12 edges
  • It has 8 corners or vertices
  • It has 6 faces.
A rectangular cuboid

The basic difference between a rectangle and a cuboid is that one is a 2D shape and the other is a 3D shape.

The basic difference between a cube and cuboid is that a cube has equal length, height and breadth whereas in cuboids these three may or may not be the same. The cuboid can also be called a right rectangular prism.

Where l= length, b= breadth, h= height:

  • Total Surface Area of Cuboid = 2(l×b+b×h+h×l)
  • Volume of Cuboid = l*b*h