Volume is a common term that we encounter in our daily routine. If you have an aquarium and want to know how many buckets of water will be required to fill it completely, you will need to know the volume of the bucket as well as the aquarium. When you want to buy a container for your kitchen, the shopkeeper would show you different containers with different capacity like 1 liter, 2 liters, 5 liters etc; he is actually telling you about the volume of the containers. In general, the volume expresses the capacity of a 3-dimensional object or container. Before we proceed to find the answer for ‘What Is Volume in Maths’, let us first understand the meaning of a 3-dimensonal object. A line or curve has one dimension, a plane has two dimensions while a solid object such as a sphere, cylinder, cube etc are examples of 3-dimensional objects. The area is used to express the 2-dimensional space occupied by a planar surface while volume is used to express the 3-dimensional space contained in an enclosed object.
What Is Volume in Maths?
Volume is a 3-dimensional quantity and there are well-defined arithmetic formulas in mathematics to calculate the volume of simple and regular solid objects. To calculate the volume of complicated 3-dimensional objects, integral calculus is required.
Let us take the example of a simple object like a cube. The volume of a cube with length (l), breadth (b) and height (h) is given by:
Volume of a cube = length*breadth*height = l*b*h
Now that you understand ‘What Is Volume in Maths’, let us learn about the units of volume. The unit of volume is cubic meters (m3) in MKS system and cubic centimeters (cm3) in CGS system. It is also expressed in terms of liters, gallons, cubic inch, cubic foot, pints and fluid ounce. A cube with each side measuring 1 cm has a volume of 1cm3. Thus, we have an aquarium with a volume of 100 cm3, it means that it has a 3-dimensional space equal to the sum of volumes of 100 cubes of sides 1 cm.
A commonly used unit for volume is liters. You must have heard that your bucket is of 10 liters or 20 liters. Let us now try to learn, how we can convert volume expressed into liters into cubic centimeters or cubic meters.
1 liter = (10 cm)3 = 1000 cubic centimeters = 0.001 cubic meters
It means that, 1 cubic meter = 1000 liters
Thus, if you have an aquarium with a volume of 2 cubic meters, it will take 200 liters of water to fill it completely.
In the case of small objects, the volume is expressed in milliliters.
1 milliliter = 0.001 liters = 1 cubic centimeter
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