Volume of Cuboid - Formula, Definition & Solved Questions

The reading material provided on this page for 'Volume of Cuboid' is specifically designed for students in grades 7 to 12. So, let's begin!

Cuboid

A cuboid is a three-dimensional geometric shape with six rectangular faces, each pair of which are parallel to one another. It is also known as a rectangular prism.

Volume of Cuboid

The volume of a cuboid is the amount of space it occupies in three-dimensional space. It is measured in cubic units, such as cubic centimeters (cm)³, cubic meters (m)³, or cubic feet (ft)³.

Formula for Volume of Cuboid

The formula for the volume of a cuboid (also known as a rectangular prism) is:

Volume = length x breadth x height

Alternatively, it can also be represented as:

V = l x b x h

Where,

• V is the volume
• l is the length
• b is the breadth
• h is the height

How to Find the Volume of Cuboid?

To find the volume of a cuboid, you will need to know the length, breadth, and height of the cuboid.

1. Measure the length, breadth, and height of the cuboid.

2. Multiply the length, breadth, and height of the cuboid together.

3. The resulting product is the volume of the cuboid.

Example: If the length, breadth, and height of a cuboid are given as follows, find the volume of cuboid.

Length = 10 cm
breadth = 5 cm
Height = 8 cm

Solution:

Step 1: Multiply the length, breadth, and height of the cuboid together.
10 x 5 x 8 = 400

Step 2: The resulting product, 400 cm³, is the volume of the cuboid.

Example: Find the volume of a cuboid, if it has a length of 6 meters, a breadth of 4 meters, and a height of 3 meters.

Solution: To find the volume of the cuboid, we use the formula:

Volume = 6 x 4 x 3 = 72 m³

So, the volume of the cuboid is 72 m³.