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Volume:
Volume is the measure of the amount of space occupied by a three-dimensional substance. It is expressed in cubic units.
Volume of a cuboid:
Let \(l\) units, \(b\) units and \(h\) units be the length, breadth and height of the cuboid respectively.
Then, volume \(=\) \(\text{length} \times \text{breadth} \times \text{height}\) cu. units
Volume \(=\) \(\text{base area} \times \text{height}\) cu. units
Volume of a cuboid \(=\) \(lbh\) cu. units.
Example:
Calculate the volume of the cuboid of length \(6 \ cm\), breadth \(5 \ cm\) and height \(3 \ cm\).
Solution:
Length of the cuboid \(=\) \(6 \ cm\)
Breadth of the cuboid \(=\) \(5 \ cm\)
Height of the cuboid \(=\) \(3 \ cm\)
Volume of the cuboid \(=\) \(lbh\) cu. units
\(=\) \(6 \times 5 \times 3\)
\(=\) \(90\) \(cm^3\)
Therefore, the volume of the cuboid is \(90\) \(cm^3\).
Important!
The units of length, breadth and height should be the same while calculating the surface area of the cuboid.
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