3-D Rectangular Solid

3-D Rectangular solid :

In a rectangular solid all the angles are right-angled and have opposite faces of an equal cuboid. It is also a perfect rectangular prism. The term rectangular or rectangular prism is ambiguous. It is also referred to by the term rectangular parallel quadrilateral or orthogonal parellopiped.

A square cuboid, a square box or a right square prism, also vaguely called a square prism, is a special case of a cuboid that has at least two faces squared. Cube squares are a special case of cuboids in which all six faces are squares.

If a cuboid has dimensions A, B and C, its volume is ABC and

its surface area is – 

2ab + 2bc + 2ac.

The length of the space diagonal is – 

d = √( a2 +b2 + c2 )

Cuboid shapes are just like  boxes, cupboards, rooms, buildings, etc. Cuboids are among solids that are belongs to  3-D space. The shape is quite versatile in being able to contain many small cubes, e.g. Chinese cubes in a box, small boxes in a large box, a cupboard in a room and rooms in a building.

3-d rectangular solid

A cuboid with integer edges as well as the diagonals of the integer face is called an Euler brick. A full cube is an Euler brick whose space diagonal is also an integer. It is currently unknown whether a complete cuboid actually exists.

Volume of rectangular solid = lwh

Surface area of rectangular solid = 2(lw + wh + lh)