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.)


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