Volume of 3D-Shapes
Volume formulas of different solids are given below:
Volume of Cube
A cube is a 3-D shape in which all its dimensions are equal. (i.e. l = b =h). Rubik’s cube is a very common example of a cube. A cube of side ‘a’ is shown in the image below:
Volume of the cube formula is given by:
Volume of Cube = a3
where,
- a is side of a cube
Volume of Cuboid
A cubiod is a 3-D shape in which all its dimensions are different or may be any two are equal. Matchbox is a very common example of cubiod. A cuboid of length ‘l’, breadth ‘b’, and height ‘h’ is shown in the image below:
Volume of cuboid formula is given by:
Volume of Cuboid = lbh
where,
- l, b, h are the length, breadth and height of cuboid
Volume of Cylinder
Cylinder is a 3-D which have two flat surfaces and a curved surface. Various example of cylinder are, water tankers, pipes, gas cylinders, etc. A cylinder of height ‘h’ and radius ‘r’ is shown in the image below:
Volume of cylinder formula is given by:
Volume of Cylinder = πr2h
where,
- r is radius of cylinder
- h is height of cylinder
Volume of Sphere
A sphere is a three-dimensional geometric object that is perfectly round in shape, much like a ball. It is defined as the set of all points in three-dimensional space that are equidistant from a fixed point called the center. A sphere of radius ‘r’ is shown in the image below:
Volume of sphere formula is given by:
Volume of Sphere = (4 /3)πr3
where,
- r is radius of sphere
Volume of Hemisphere
A hemisphere is a three-dimensional geometric shape that is half of a sphere. It is formed by slicing a sphere into two equal parts along a plane passing through its center. A hemisphere of radius ‘r’ is shown in the image below:
Volume of hemisphere formula is given by:
Volume of Hemisphere = (2 /3)πr3
where,
- r is radius of hemisphere.
Volume of Cone
A cone is a three-dimensional geometric shape that tapers smoothly from a flat, circular base to a single point called the apex or vertex. It resembles a party hat or an ice cream cone. A cone of height ‘h’ and radius ‘r’ is shown in the image below:
Volume of cone formula is given by:
Volume of Cone = (1/3)πr2 h
where,
- r is radius of cone
- h is height of the cone
Volume of a Pyramid
Pyramid is a three-dimensional geometric shape wich has polygonal base and triangular faces that meet at a common point called the apex. A prramid of height ‘h’ is shown in the image added below:
Formula for the volume of a pyramid is given as follows,
Volume of Pyramid(V) = 1/3 × Base Area × Height
V = 1/3 A.H cubic units
where,
- V is Volume of Pyramid
- A is Base Area of Pyramid
- H is Height of a Pyramid
Volume : Definition, Formula, Examples
Volume of the shape means the capacity of the shape. To calculate volumes of different shapes we have different formulas. The basic formula for volume is obtained by multiplying length, breadth and height.
In this article, we will explore how to calculate volumes for different shapes. Also, we will solve some examples related to how to calculate volumes.
Table of Content
- Volume Definition
- Volumes Formulas for Various Shapes
- Volume of 3D-Shapes
- List of Volume Formulas
- Units of Volume
- How to Calculate Volume?
- Examples on Volume