Introduction
A triangular prism or three-sided prism is a form of prism; it is a polyhedron made of a triangular base, a translated copy, and three faces joining corresponding sides in geometry. Semi regular if the base faces are equilateral triangles, and the additional three faces are squares is called right triangular prism.3-sided bi pyramid form is dual of a equilateral prism. (Source: Wikipedia)
In this article we discuss how to find the volume and surface area of the equilateral triangle prism.
Examples Problem for Equilateral Triangle Prism:
1. Find the surface area and volume of an equilateral triangle prism. Bases of equilateral triangle prism are 5, and then the length of the equilateral triangle prism is 6.
Solution:
Given values,
Equilateral triangle prism base in a side a = 5
Equilateral triangle prism height in a side h = 6
Formula for Equilateral triangle prism,
Surface area = 2a2 `sqrt(3)`/4 + 3ah
Plug the given values,
= 2* 52 `sqrt(3)` /4 + 3*5*6
= 50*1.732/4 + 90
Calculate the values,
= 21.650+90
And then we get the answer is,
Equilateral triangle prism of surface area is = 111.650
Formula for Equilateral triangle prism,
Volume = a2 `sqrt(3)` h/ 4
Plug the given values,
= 52 `sqrt(3)`* 6/ 4
Calculate the values,
= 25*1.732*6/ 4
= 259.8/ 4
And then we get the answer is,
Equilateral triangle prism of volume is = 64.95.
Between, if you have problem on these topics math word problems for 5th grade, please browse expert math related websites for more help on adding and subtracting rational expressions with unlike denominators.
More Examples Problem for Equilateral Triangle Prism:
2. Find the surface area and volume of an equilateral triangle prism. Bases of equilateral triangle prism are 4, and then the length of the equilateral triangle prism is 3.
Solution:
Given values,
Equilateral triangle prism base in a side a = 4
Equilateral triangle prism height in a side h = 3
Formula for Equilateral triangle prism,
Surface area = 2a2`sqrt(3)` /4 + 3ah
Plug the given values,
= 2*42 `sqrt(3)` / 4 + 3*4*3
= 32*1.732/ 4 + 36
Calculate the values,
= 13.85+36
And then we get the answer is,
Equilateral triangle prism of surface area is = 49.85
Formula for Equilateral triangle prism,
Volume = a2 `sqrt(3)` h/ 4
Plug the given values,
= 42`sqrt(3)` 3/ 4
Calculate the values,
= 16*1.732*3/ 4
= 83.13/ 4
And then we get the answer is,
Equilateral triangle prism of volume is = 20.78.
A triangular prism or three-sided prism is a form of prism; it is a polyhedron made of a triangular base, a translated copy, and three faces joining corresponding sides in geometry. Semi regular if the base faces are equilateral triangles, and the additional three faces are squares is called right triangular prism.3-sided bi pyramid form is dual of a equilateral prism. (Source: Wikipedia)
In this article we discuss how to find the volume and surface area of the equilateral triangle prism.
Examples Problem for Equilateral Triangle Prism:
1. Find the surface area and volume of an equilateral triangle prism. Bases of equilateral triangle prism are 5, and then the length of the equilateral triangle prism is 6.
Solution:
Given values,
Equilateral triangle prism base in a side a = 5
Equilateral triangle prism height in a side h = 6
Formula for Equilateral triangle prism,
Surface area = 2a2 `sqrt(3)`/4 + 3ah
Plug the given values,
= 2* 52 `sqrt(3)` /4 + 3*5*6
= 50*1.732/4 + 90
Calculate the values,
= 21.650+90
And then we get the answer is,
Equilateral triangle prism of surface area is = 111.650
Formula for Equilateral triangle prism,
Volume = a2 `sqrt(3)` h/ 4
Plug the given values,
= 52 `sqrt(3)`* 6/ 4
Calculate the values,
= 25*1.732*6/ 4
= 259.8/ 4
And then we get the answer is,
Equilateral triangle prism of volume is = 64.95.
Between, if you have problem on these topics math word problems for 5th grade, please browse expert math related websites for more help on adding and subtracting rational expressions with unlike denominators.
More Examples Problem for Equilateral Triangle Prism:
2. Find the surface area and volume of an equilateral triangle prism. Bases of equilateral triangle prism are 4, and then the length of the equilateral triangle prism is 3.
Given values,
Equilateral triangle prism base in a side a = 4
Equilateral triangle prism height in a side h = 3
Formula for Equilateral triangle prism,
Surface area = 2a2`sqrt(3)` /4 + 3ah
Plug the given values,
= 2*42 `sqrt(3)` / 4 + 3*4*3
= 32*1.732/ 4 + 36
Calculate the values,
= 13.85+36
And then we get the answer is,
Equilateral triangle prism of surface area is = 49.85
Formula for Equilateral triangle prism,
Volume = a2 `sqrt(3)` h/ 4
Plug the given values,
= 42`sqrt(3)` 3/ 4
Calculate the values,
= 16*1.732*3/ 4
= 83.13/ 4
And then we get the answer is,
Equilateral triangle prism of volume is = 20.78.
