Units & Dimensions - VOLUME
VOLUME OF CUBOID
A 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 the same, we call this cuboid as a cube. The 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.
The volume of a three-dimensional shape Cuboid, in general, is equal to the amount of space occupied by the shape cuboid. The term “solid Rectangle” is also known as a cuboid. Because all the faces of a cuboid are rectangular in shape. In rectangular cuboid, all the angles are at right angles and the opposite faces of a cuboid are equal.
The general formula for the calculation of the volume of a cuboid is given below.
The volume of cuboid: The volume of a cuboid is given by the product of its dimensions.
The volume of a cuboid of length ‘l’, breadth ‘b’, height ‘h’,
V= l×b×h cubic units
SOLVED EXAMPLES
Example 1: 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
Example 2: Calculate the amount of air that can be accumulated in a room that has a length of 5 m, breadth of 6m and a height of 10m.
Solution:
Amount of air that can be accumulated in room = capacity of 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