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’ = a3
Problems related to volume of cuboid, cube and cylinder:
Questions: Calculate the length of edge of a cube shaped container of volume 216m3.
Solution: Volume of a cube= a3
=> a3= 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 m3
Thus, this room can accommodate maximum of 300 m3 of air
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