The volume of a three-dimensional shape Cuboid, in general, is equal to the amount of space occupied by that shape. The general formula for the calculation of the volume of a cuboid is given below.
The volume of cuboid: Volume of a cuboid is given by the product of its dimensions.
The volume of a cuboid of length ‘l’, breadth ‘b’, height ‘h’ = l×b×h
Also get: Volume of Cuboid Calculator
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 a cuboid is same we call this cuboid as a cube. Area of all the faces of a cube is the 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.
Volume of Cube
Volume of cube: Cuboid in which length of each edge is equal is known as a cube. Thus,
Volume of a cube of side ‘a’ = a3
Problems related to the Volume of cuboid, cube, and cylinder:
Questions: Calculate the length of the 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 a cuboid
Volume of cuboid = l×b×h = 5 ×6 ×10 = 300 m3
Thus, this room can accommodate the maximum of 300 m3 of air
To learn and practice more problems on surface area of cuboid, you can visit BYJU’S