Volume Of Cuboid

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. Thus, the volume of a three-dimensional shape, 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.

Volume Of Cuboid

Volume of cuboid: Volume of a cuboid is given by the product of its dimensions.

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

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 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

Practise This Question

A right angle triangle of base 4 cm and height 3 cm is revolving about its height. The surface area and volume of obtained solid figure are respectively.