Volume of Cuboid

Cuboid

A cuboid is a three-dimensional structure having six rectangular faces. These six faces of the cuboid exist as a pair of three parallel faces. Therefore, the volume is a measure based on the dimensions of these faces, i.e. length, width and height. It is measured in cubic units.

Volume of Cuboid

The Volume of a Cuboid is equal to the amount of space occupied by the shape of cuboid.  It depends on the three dimensions of cuboid, i.e., length, breadth and height. The term “Solid Rectangle” is also known as a cuboid, because all the faces of a cuboid are rectangular.  In a rectangular cuboid, all the angles are at right angles and the opposite faces of a cuboid are equal.

Formula

The Volume of a cuboid is given by the product of its dimensions, i.e., length, width and height. The unit of volume of cuboids is cubic units or unit3, such as m3, cm3, in3, etc.

Volume of cuboid is equal to product of its base area and height. Hence, we can write;

Volume of cuboid = Base area × Height  [Cubic units]

The base of the cuboid is rectangle in shape. So, the base area of a cuboid is equal to the product of its length and breadth. Hence,

Volume of a cuboid = length × breadth × height    [cubic units]

or

Volume of a cuboid = l × b × h    [cubic units]

Where,

• l = length
• b = breadth
• h = height