In Geometry, Volume is defined as the space that comes under any three-dimensional shape. In simple words, it is the region that is covered by a three-dimensional shape or object. It is the region that comes under that shape till its boundaries.
You can read about Geometry here.
In general, the volume of an object can be found by multiplying all lengths. But it can also vary from shape to shape as we will discuss in detail here in the next sections.
Units of Volume
Like other measurements, the volume also has some specific units. It means that the volume of any object or shape will be measured in those units. The general unit of volume is the “Cubic Unit”. In SI units, volume is measured in Cubic Meters while it also has many other units like Cubic Centimeters, Cubic Foot, and others.
Read about Cubic Meters and Cubic Centimeters here
Common shapes & their formulas to find Volume
Every three-dimensional shape has some volume. It is generally calculated by multiplying all three sides or lengths of the shape. Here we have enlisted some common shapes and their concerned formulas to find the Volume.
- Sphere: It is a particular type of circle that we can say is hollow from the inner side. Because of its three-dimensional field, it is called a Sphere instead of a circle. To find the volume of a Sphere, we can use the following formula.
Volume of the Sphere = 4/3 πr3
In the above formula, “r” represents the Radius of the Sphere.
You can read about a Sphere here.
- Cube: It is a three-dimensional shape having three equal lengths. A cube is the simplest example of a three-dimensional shape. To find the volume of a cube, we only have to use the following formula.
Volume of the Cube = a3
Read about a Cube here.
- Cuboid: It is also a three-dimensional shape similar to a cube but with different lengths. A cuboid has different lengths of its sides. Here is the formula to find the volume of a cuboid.
The volume of a Cuboid = Length x Base x Height
Can we find the volume of a two-dimensional field?
No, a two-dimensional field has no volume but it only has an area.
What is the simplest example of a three-dimensional shape?
The simplest example of a three-dimensional shape is your room.
What do you mean by volume?
Volume is the space that comes under a specific three-dimensional shape.
What is the difference between area and volume?
The area belongs to a two-dimensional plane or field while Volume belongs to a three-dimensional shape or space.