It is true that both the terms, area, and volume, have large scale uses in normal day to day lives. Although we are taught about area and volume during our school days, it is important that we remember them for the rest of our lives. It is often seen that most of us often get confused by both terms.
What are the two formulas for volume?
There are many formulas to calculate the volume of different shapes and objects.
The two most commonly used formulas are the formulas used for cuboid and prism:
- Formula to calculate the volume of the cuboid is lwh. Here l=length, w=width, and h=height.
- Formula to calculate the volume of a prism is Bh. Here B=area of base and h=height.
What is the formula for finding the area of a sphere?
The formula for finding the area of a sphere is:
A=4π × r2
In this formula, A stands for the area; π stands for pi and r stands for radius. This formula was first used by the famous Greek philosopher Archimedes about two thousand years ago.
Thanks to the above discussion, we all know by now what an area is and what a volume is. We also know the way we need to measure the areas and volumes of any object.
By now it is crystal clear the area and volume are separate mathematical concepts that differ from each other in multiple ways.
The area of any 2-dimensional object or figure refers to the space covered by any plane object. At the same time, the volume of any 3-dimensional object or figure refers to the total amount of space inside the said object.
When it comes to measuring the area of any 2-dimensional shape or object, there are different formulae used for different shapes, such as there is a separate formula for measuring the area of a square and a different formula for measuring the area of a triangle.
Similarly, there are different formulae used to measure the volume of different types of 3-dimensional figures or objects. For example, you need to use a different formula to measure the volume of a cylinder and a different formula to measure the volume of a sphere.