Edge Length of Icosidodecahedron given Triangular Face Perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Edge Length of Icosidodecahedron = Triangular Face Perimeter of Icosidodecahedron/3
le = PTriangle/3
This formula uses 2 Variables
Variables Used
Edge Length of Icosidodecahedron - (Measured in Meter) - Edge Length of Icosidodecahedron is the length of any edge of the Icosidodecahedron.
Triangular Face Perimeter of Icosidodecahedron - (Measured in Meter) - Triangular Face Perimeter of Icosidodecahedron is the total length of all the boundary lines of any of the triangular faces of the Icosidodecahedron.
STEP 1: Convert Input(s) to Base Unit
Triangular Face Perimeter of Icosidodecahedron: 30 Meter --> 30 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le = PTriangle/3 --> 30/3
Evaluating ... ...
le = 10
STEP 3: Convert Result to Output's Unit
10 Meter --> No Conversion Required
FINAL ANSWER
10 Meter <-- Edge Length of Icosidodecahedron
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Jaseem K
IIT Madras (IIT Madras), Chennai
Jaseem K has created this Calculator and 100+ more calculators!
Verifier Image
Verified by Nikita Kumari
The National Institute of Engineering (NIE), Mysuru
Nikita Kumari has verified this Calculator and 600+ more calculators!

Edge Length of Icosidodecahedron Calculators

Edge Length of Icosidodecahedron given Total Surface Area
​ LaTeX ​ Go Edge Length of Icosidodecahedron = sqrt(Total Surface Area of Icosidodecahedron/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))
Edge Length of Icosidodecahedron given Midsphere Radius
​ LaTeX ​ Go Edge Length of Icosidodecahedron = (2*Midsphere Radius of Icosidodecahedron)/(sqrt(5+(2*sqrt(5))))
Edge Length of Icosidodecahedron given Volume
​ LaTeX ​ Go Edge Length of Icosidodecahedron = ((6*Volume of Icosidodecahedron)/(45+(17*sqrt(5))))^(1/3)
Edge Length of Icosidodecahedron given Circumsphere Radius
​ LaTeX ​ Go Edge Length of Icosidodecahedron = (2*Circumsphere Radius of Icosidodecahedron)/(1+sqrt(5))

Edge Length of Icosidodecahedron given Triangular Face Perimeter Formula

​LaTeX ​Go
Edge Length of Icosidodecahedron = Triangular Face Perimeter of Icosidodecahedron/3
le = PTriangle/3

What is an Icosidodecahedron?

In geometry, an Icosidodecahedron is a closed and convex polyhedron with 20 (icosi) triangular faces and 12 (dodeca) pentagonal faces. An Icosidodecahedron has 30 identical vertices, with 2 triangles and 2 pentagons meeting at each. And 60 identical edges, each separating a triangle from a pentagon. As such it is one of the Archimedean solids and more particularly, a quasiregular polyhedron.

How to Calculate Edge Length of Icosidodecahedron given Triangular Face Perimeter?

Edge Length of Icosidodecahedron given Triangular Face Perimeter calculator uses Edge Length of Icosidodecahedron = Triangular Face Perimeter of Icosidodecahedron/3 to calculate the Edge Length of Icosidodecahedron, Edge Length of Icosidodecahedron given Triangular Face Perimeter formula is defined as the length of any edge of the Icosidodecahedron, and calculated using the triangular face perimeter of the Icosidodecahedron. Edge Length of Icosidodecahedron is denoted by le symbol.

How to calculate Edge Length of Icosidodecahedron given Triangular Face Perimeter using this online calculator? To use this online calculator for Edge Length of Icosidodecahedron given Triangular Face Perimeter, enter Triangular Face Perimeter of Icosidodecahedron (PTriangle) and hit the calculate button. Here is how the Edge Length of Icosidodecahedron given Triangular Face Perimeter calculation can be explained with given input values -> 10 = 30/3.

FAQ

What is Edge Length of Icosidodecahedron given Triangular Face Perimeter?
Edge Length of Icosidodecahedron given Triangular Face Perimeter formula is defined as the length of any edge of the Icosidodecahedron, and calculated using the triangular face perimeter of the Icosidodecahedron and is represented as le = PTriangle/3 or Edge Length of Icosidodecahedron = Triangular Face Perimeter of Icosidodecahedron/3. Triangular Face Perimeter of Icosidodecahedron is the total length of all the boundary lines of any of the triangular faces of the Icosidodecahedron.
How to calculate Edge Length of Icosidodecahedron given Triangular Face Perimeter?
Edge Length of Icosidodecahedron given Triangular Face Perimeter formula is defined as the length of any edge of the Icosidodecahedron, and calculated using the triangular face perimeter of the Icosidodecahedron is calculated using Edge Length of Icosidodecahedron = Triangular Face Perimeter of Icosidodecahedron/3. To calculate Edge Length of Icosidodecahedron given Triangular Face Perimeter, you need Triangular Face Perimeter of Icosidodecahedron (PTriangle). With our tool, you need to enter the respective value for Triangular Face Perimeter of Icosidodecahedron and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Edge Length of Icosidodecahedron?
In this formula, Edge Length of Icosidodecahedron uses Triangular Face Perimeter of Icosidodecahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Edge Length of Icosidodecahedron = sqrt(Total Surface Area of Icosidodecahedron/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))
  • Edge Length of Icosidodecahedron = ((6*Volume of Icosidodecahedron)/(45+(17*sqrt(5))))^(1/3)
  • Edge Length of Icosidodecahedron = (2*Circumsphere Radius of Icosidodecahedron)/(1+sqrt(5))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!