What is Volume?

 

Every three-dimensional object occupies some space. This space is measured in terms of its volume. Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.

Finding the volume of an object can help us to determine the amount required to fill that object, like the amount of water needed to fill a bottle, an aquarium or a water tank.

Volume of 3-Dimensional Shapes:

Since different three-dimensional objects have different shapes, their volumes are also variable. Let us look at some three-dimensional shapes and learn how to calculate their volume(V).

Sphere 

The simplest and most common type of three-dimensional shape is a sphere. Some examples of spheres that we see in daily life includes balls, globes, decorative lights, oranges, etc. The simplest measurement that can be made on a sphere is its radius. The volume of the sphere is calculated using its radius.

Cube

The next simple and common three-dimensional shape is the cube. It is identified by the unique property that each side of the cube is of the same length. Some everyday examples of objects in the shape of a cube are dice, Rubik’s cubes, sugar cubes, gift boxes, etc. The volume of a cube is calculated using the length of its side. technologyexps

Cuboid

Cuboid shape is also referred to as the rectangular prism. In a cuboid, the length of the sides will vary. The following notation is used to represent the sides of a cuboid.

Length = l

Breadth = b

Height = h

All these dimensions are used to calculate the volume of a cuboid. Common examples of cuboids are books, shoe boxes, bricks, mattresses, etc.

Cylinder

A cylinder is also a three-dimensional shape with circular bases and a height separating the two bases. Everyday objects that are cylindrical include water bottles, buckets, candles, cans, etc. The volume of a cylinder is calculated by measuring the radius of the base and the height.

Volume of a Cylinder = πr2h, where r is the radius of the base, and h is the height of the cylinder.

Cone

A cone is a three-dimensional shape that we commonly see around us. An ice-cream cone, a party hat, a funnel, or a Christmas tree, all of these are examples of a cone. A cone is a distinctive three-dimensional geometric figure that has a flat surface and a curved surface, pointed towards the top.

Volume of a Cone = 

πr2h, where r is the radius of the base of the cone, and h is the height of the cone from the base to the top.

Volume Measurement

Volume is calculated for three-dimensional objects and hence is represented in cubic units or another format of writing cubic unit; as this is commonly used (unit)³ such as cubic centimeters, cubic inch, cubic foot, cubic meter, etc If the length or radius is measured in centimeters, then the volume is measured in cubic centimeters (cm3). If the measurements are in meters, the volume is measured in cubic meters (m3).

When we measure the volume of liquids (for example, to find the volume of water that a cylindrical bottle can hold), we have to change the values in cm3 or m3 into liters. The volume can be converted from liters to centimeters using the following formula read more :-  techyfie