Introduction to Prism volume equation

Introduction to Prism volume equation:

                        A prism is a solid and that has two parallel faces which are congruent polygons at both ends. This faces are formed the base of the prism. A prism is named after the shape of its base side. The volume of a prism depends on their sides. A triangle pyramid has a triangle for a base.

There are two types of prism based on their base side that is shown below
1. Rectangular prism
2. Triangular prism
The volume of a prism is given

        Triangular prism equation for volume V = * length * width * height.          
Where
L is the length of the prism.
W is the width of the prism
H is the height of the prism

Rectangular prism:
        Rectangular prism equation for volume V = a * b * h
Where
a – Apothem length
b – Breadth
h – Height

Example Problem for Triangular Prism Volume Equation:

1.Solve the volume of the right prism base length 8 height 12 and width 9.

Solution:

            Given that Length  = 8

                              Width   =  12

                               Height = 9

Formula for volume of a triangular = `1 / 2`  * length*width*height.

                                                             = `1 / 2`  *  8 * 12 * 9

                                                              =`1 / 2` * 864

                                                              = 432

The solution is = 432

2.Solve the volume of the right prism base length 12 height 20 and width 14.

Solution:

            Given that Length  = 12

                              Width   =  20

                               Height = 14

Formula for volume of a triangular = `1 / 2` * length*width*height.

                                                            = `1 / 2`  * 12 * 20 * 14

                                                            = `1 / 2 `  * 3360

                                                            = 1680

The solution is = 1680

Example Problem for Rectangular Prism Volume Equation:

3.The prism has its apothem length 9 cm , base side 2cm and height 7cm. find the volume

Solution:

Given that  a - 9 cm

                   b – 2 cm

                   h – 7 cm 

Formula for volume of a triangular pyramid = `(1/6)` abh

                                                                              = `1/6`  * 9 * 2 * 7

                                                                             = `1/ 6 ` * 126

                                                                             = 21

The solution is =21

4.The prism has its apothem length 0.65 cm , base side 0.23cm and height 0.82cm. find the volume

Solution:

Given that  a – 0.65 cm

                   b – 0.23 cm

                   h – 0.82 cm 

Formula for volume of a triangular pyramid = `(1/6)`  abh

                                                                        = `1 / 6`  * 0.65 * 0.23 * 0.82

                                                                        = 0.122

The solution is = 0.122