Volume of a cuboid — lesson. Mathematics State Board, Class 9.

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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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1. Volume of a cuboid