Cuboid
A cuboid is a 3D shape. Cuboids have six faces. These faces form a convex polyhedron. The faces of the cuboid can be any quadrilateral. The most common cuboid is the rectangular cuboid. It is made from 6 rectangles that are placed at right angles to each other. A cuboid that uses all square faces is a cube. The cuboid can also be called a right rectangular prism.
Properties
The properties of a cuboid include:
- cuboids have 12 edges
- They have 8 corners or vertices
- They have 6 faces.
| Symmetry group | D2h, [2,2], (*222), ord |
| symbol | { } × { } × { } |
The difference between a rectangle and a cuboid is that a rectangle is a 2D shape and a cuboid is a 3D shape.
A cube is a cuboid where all six faces have the same height and widths. Each face of a cube is a square.
Where L= length, w= width and h= height:
- Total Surface Area of Cuboid = 2( (L×w) + (w×h) + (h×L) )
- Volume of Cuboid = L * w * h
