Students can learn How to find Volume from the expert tutors available online. To learn How to calculate volume students have to have the knowledge of the different solids and their formulas for computation of Volume.

 

In General, volume is the space occupied by the object or matter under study. The space occupied in three dimension is said to be volume and not in two dimension. In mathematics, we study about how to find volume of different objects and shapes. General formulas have been derived to calculate the volume. It is measured in cubic units. The general solid shapes frequently used  on mathematics are cylinder, sphere, cone, pyramid prism, etc.The formulas and the examples to how to calculate volume are given in the following sections.  

 The following chart gives us the formulas (equations) derived to How to find out the volume of some of the frequently used shapes, The volume equations chart is very helpful in how to find volume in a simpler and faster method,

Volume chart:

Name of the shape Volume equations Descritpion of the equation.

Cube         

Volume of a cube = a3 a = length of any side

Cylinder

Volume of a cylinder =  Πr 2 h

r =radius of the circular side,

h= height of the cylinder.

Volume of a sphere

              Volume of a sphere =(43) r =radius

Cone

Volume of a cone: (13)(π)

r = base radius

h = the height of the cone from the apex.

Rectangular Prim

 

Volume of  rectangular prism= l * w * h.

l= length of the prism,

w = width of the prism,

h= height of the prism.

Prism


                                 
Volume of the prism = b* h     where b = l* w,   l  =  length of the prism, w = width of the prism,

 h = height of the prism.

Ellipsoid Volume of ellipsoid = (43 ) * r1 * r2 * r3 * π

r1 = radius 1

r2 = radius 2

r3 = radius

 

How to calculate volume

 

Before we see how to calculate volume ,lets see what is volume

  • Volume is how much three-dimensional space a substance (solid, liquid, gas, or plasma) or shape occupies or contains, often quantified numerically using the SI derived unit, the cubic metre.
  • Three-dimensional mathematical shapes are also assigned volumes. Volumes of some simple shapes, such as regular, straight-edged, and circular shapes can be easily calculated using arithmetic formulas.
  • In this article, we are going to find the volume of several objects using the volume formulas.

The commonly  used objects or shapes and how to find volume in mathematics is mentioned below,

How to find volume of Cube:

Volume of a cube = a3

where, 

a = length of any side

How to find volume of Cuboid:

Volume of Cuboid: l * b* h
where,
l = lenght of the base,
b = width of the base,

h = height of the cuboid.

How to calculate volume of Cylinder:

Volume of a cylinder = `Pi`r 2 h

where,

r =radius of the circular side.

h= height of the cylinder.

How to find Volume of a sphere:

Volume of a sphere =` (4/3) (pi) r^3`

where,

r =radius

How to find volume of Cone:

Volume of a cone: `(1/3) (pi) (r^2) h`

r = base radius

h = the height of the cone from the apex.

How to find volume of Prism:

Volume of the prism = b* h
     where,
                                   b = l* w,
                                   l  =  length of the prism,
                                  w = width of the prism,

                                  h = height of the prism.

How to find volume of Triangular prism:

Volume of triangular prism: `(1/2)` b * h * l
where,
b = width of the base 
l  = lenght of the base

h = Height of the pyramid from the apex,

How to find volume of Pectangular Prim:

Volume of the rectangular prism = l * w * h.

l= length of the prism,

w = width of the prism,

h= height of the prism.

The shapes of the mentioned figures are shown below,

How to Calculate Volume

 

Calculating Volume in a Box

 

Students have learnt How to calculate volume. Now they can learn calculating volume in a box. Box is a three dimensional-closed shape with 6 faces and it has height, base and width. There are 2 types of Boxes.

Two types of 3 dimensional boxes are:

  • Squared box (Cube) Example: Dice- shaped box ( all faces of the box have squares of equal side)
  • Rectangular box ( Cuboid) Example : A Shoe box or the Shoe container is a cuboid ( Four faces with rectangles and 2 squares)

 

Volume of a Square Box is a3 and Volume of a Rectangular Box is length * height * width.

 

How do you find volume

 

Now you can learn How do you find volume of different solids.

how to calculate volume of cylinder given the radius is 12 cm and 18 cm.

     Solution:

                 Volume of cylinder = π r2 h cubic units.

                                                   = (3.14) * 122 * 18

                                                   =  3.14 * 144 * 18

                                                   = 8138.88 cm3

 

 

3)Calculate the volume of the sphere with radius 3cm .

Solution:

Volume of the sphere  = (43)(π)r3

                                         =  (43)(π)33

                                        = 113.04 cm^3

how to find volume of cone given the radius is 4 cm and 9 cm.

     Solution:

                     Volume of cone = 1/3 π r2 h cubic units.

                                                  = 1/3  (3.14) * 42 * 9

                                                  = 0.33 * 3.14 * 16 * 9

                                                  = 149.21 cm3

How to Calculate volume of the a cube with Side length = 4m.

Solution:

Volume of a cube = a3

                                = 43

                                = 64 m3

Students can learn How to Calculate the volume of various solids and solve problems on them.