Solved Questions on Unit of Volume

Question 1: A cuboidal box has its length, breadth and height as 5 cm, 8 cm and 10 cm respectively. Calculate its volume in SI units.

Solution:

We have,

Length of cuboid = 5 cm

Breadth of cuboid = 8 cm

Height of cuboid = 10 cm

Also, Volume of cuboid = Length x Breadth x Height

Thus, Volume = 5 x 8 x 10 = 400 cm3

Hence, we have obtained volume of the cuboid as 400 cm3 or 0.0004 m3 in SI units.

Question 2: A cubical vessel has a capacity of 1000 litres. Determine the side length of the cube.

Solution:

Here we have, Capacity of cube = 1000 litres = 1000 x 0.001 m3 = 1 m3

Now, Capacity = Volume

For cube, Volume = (side)3

Thus, (side)3 = 1 or side = 1 m

Hence, we obtained that side length of the cube having 1000 litres capacity is 1 metre (m).

Unit of Volume – SI Unit, CGS Unit

Unit of Volume is cubic meter represented as m3. Volume is a measure of the capacity of any vessel or a three-dimensional body. In the International System of Units (SI), the unit of volume is m3. Volume can also be represented in other units such as cubic centimetres, litres, millilitres, gallons, etc.

In this article, we will learn the definition of volume, its unit in various systems, some solved examples, and frequently asked questions related to the unit of volume.

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