# Why Volume of Cuboid is L x B x H

## Volume of Cuboid

• Cuboid is the three-dimensional object which has 6 rectangular faces having length, breadth and height. Also, cuboid has 8 vertices or corners, 12 edges and 4 diagonals as shown in following figure.
• If the cuboid has equal length, breadth and height then it is called as the cube.
• The surface area of the cuboid is nothing but the sum of surface area of all its 6 rectangular surfaces. ### Derivation for Volume of Cuboid:

• The total space occupied by the cuboid is called as the volume of the cuboid.
• Let us consider the cuboid of length l, breadth b and height h then the volume of cuboid is given by,
• Volume of cuboid = base area of cuboid * height of the cuboid
• But the base of the cuboid is the rectangular part having length l and breadth b. • Then area of rectangular base of the cuboid is given by,

Base area of cuboid = l*b

Thus, the volume of cuboid = l*b*h

Thus, the volume of cuboid of length l, breadth b and height h is given by,

Volume of cuboid = l*b*h (Hence proved.)

Updated: September 15, 2021 — 12:23 pm