Cuboid is a three dimensional structure having six rectangular faces. These six faces of cuboid exist as a pair of three parallel faces. When the area of the faces of cuboid is same we call this cuboid as a cube. Area of all the faces of a cube is same as they are all squares. Now, think of a scenario where we need to calculate the amount of sugar that can be accommodated in a cuboidal box. In other words we mean to calculate the capacity of this box. The capacity of a cuboidal box is basically equal to the volume of cuboid involved. Thus, volume of a three dimensional shape in general is equal to the amount of space occupied by that shape. General formula for the calculation of volume of cuboid is given below.

** Volume of cuboid:** Volume of cuboid is given by product of it dimensions.

Volume of cuboid of length ‘l’, breadth ‘b’, height ‘h’ = l×b×h

** Volume of cube: **Cuboid in which length of each edges are equal is known as a cube. Thus,

Volume of a cube of side ‘a’ = a^{3}

__Problems related to volume of cuboid, cube and cylinder:__

__Problems related to volume of cuboid, cube and cylinder:__

** Questions: **Calculate the length of edge of a cube shaped container of volume 216m

^{3}.

** Solution: **Volume of a cube= a

^{3}

=> a^{3}= 216

=> a = 6 m

__Question__**:** Calculate the amount of air that can be accumulated in a room which has a length of 5 m, breadth of 6m and a height of 10m.

__Solution__**: **Amount of air that can be accumulated in a room = capacity of the room = volume of cuboid

Volume of cuboid = l×b×h = 5 ×6 ×10 = 300 m^{3}

Thus, this room can accommodate maximum of 300 m^{3} of air

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