Face Perimeter of Icosahedron given Perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Face Perimeter of Icosahedron = Perimeter of Icosahedron/10
PFace = P/10
This formula uses 2 Variables
Variables Used
Face Perimeter of Icosahedron - (Measured in Meter) - Face Perimeter of Icosahedron is the total distance around the five edges of any face of the Icosahedron.
Perimeter of Icosahedron - (Measured in Meter) - Perimeter of Icosahedron is the sum of the total distance around all the edges of the Icosahedron.
STEP 1: Convert Input(s) to Base Unit
Perimeter of Icosahedron: 300 Meter --> 300 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
PFace = P/10 --> 300/10
Evaluating ... ...
PFace = 30
STEP 3: Convert Result to Output's Unit
30 Meter --> No Conversion Required
FINAL ANSWER
30 Meter <-- Face Perimeter of Icosahedron
(Calculation completed in 00.004 seconds)

Credits

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Created by Dhruv Walia
Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
Dhruv Walia has created this Calculator and 1100+ more calculators!
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Verified by Nayana Phulphagar
Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI
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11 Face Perimeter of Icosahedron Calculators

Face Perimeter of Icosahedron given Surface to Volume Ratio
​ Go Face Perimeter of Icosahedron = (36*sqrt(3))/((3+sqrt(5))*Surface to Volume Ratio of Icosahedron)
Face Perimeter of Icosahedron given Circumsphere Radius
​ Go Face Perimeter of Icosahedron = (12*Circumsphere Radius of Icosahedron)/(sqrt(10+(2*sqrt(5))))
Face Perimeter of Icosahedron given Lateral Surface Area
​ Go Face Perimeter of Icosahedron = 3*sqrt((2*Lateral Surface Area of Icosahedron)/(9*sqrt(3)))
Face Perimeter of Icosahedron given Insphere Radius
​ Go Face Perimeter of Icosahedron = (36*Insphere Radius of Icosahedron)/(sqrt(3)*(3+sqrt(5)))
Face Perimeter of Icosahedron given Space Diagonal
​ Go Face Perimeter of Icosahedron = (6*Space Diagonal of Icosahedron)/(sqrt(10+(2*sqrt(5))))
Face Perimeter of Icosahedron given Total Surface Area
​ Go Face Perimeter of Icosahedron = 3*sqrt(Total Surface Area of Icosahedron/(5*sqrt(3)))
Face Perimeter of Icosahedron given Face Area
​ Go Face Perimeter of Icosahedron = 3*sqrt((4*Face Area of Icosahedron)/sqrt(3))
Face Perimeter of Icosahedron given Volume
​ Go Face Perimeter of Icosahedron = 3*((12*Volume of Icosahedron)/(5*(3+sqrt(5))))^(1/3)
Face Perimeter of Icosahedron given Midsphere Radius
​ Go Face Perimeter of Icosahedron = (12*Midsphere Radius of Icosahedron)/(1+sqrt(5))
Face Perimeter of Icosahedron
​ Go Face Perimeter of Icosahedron = 3*Edge Length of Icosahedron
Face Perimeter of Icosahedron given Perimeter
​ Go Face Perimeter of Icosahedron = Perimeter of Icosahedron/10

Face Perimeter of Icosahedron given Perimeter Formula

Face Perimeter of Icosahedron = Perimeter of Icosahedron/10
PFace = P/10

What is an Icosahedron?

An Icosahedron is a symmetric and closed three dimensional shape with 20 identical equilateral triangular faces. It is a Platonic solid, which has 20 faces, 12 vertices and 30 edges. At each vertex, five equilateral triangular faces meet and at each edge, two equilateral triangular faces meet.

What are Platonic Solids?

In three-dimensional space, a Platonic solid is a regular, convex polyhedron. It is constructed by congruent (identical in shape and size), regular (all angles equal and all sides equal), polygonal faces with the same number of faces meeting at each vertex. Five solids who meet this criteria are Tetrahedron {3,3} , Cube {4,3} , Octahedron {3,4} , Dodecahedron {5,3} , Icosahedron {3,5} ; where in {p, q}, p represents the number of edges in a face and q represents the number of edges meeting at a vertex; {p, q} is the Schläfli symbol.

How to Calculate Face Perimeter of Icosahedron given Perimeter?

Face Perimeter of Icosahedron given Perimeter calculator uses Face Perimeter of Icosahedron = Perimeter of Icosahedron/10 to calculate the Face Perimeter of Icosahedron, The Face Perimeter of Icosahedron given Perimeter formula is defined as the total distance around the three edges of any face of the Icosahedron, and is calculated using the perimeter of the Icosahedron. Face Perimeter of Icosahedron is denoted by PFace symbol.

How to calculate Face Perimeter of Icosahedron given Perimeter using this online calculator? To use this online calculator for Face Perimeter of Icosahedron given Perimeter, enter Perimeter of Icosahedron (P) and hit the calculate button. Here is how the Face Perimeter of Icosahedron given Perimeter calculation can be explained with given input values -> 30 = 300/10.

FAQ

What is Face Perimeter of Icosahedron given Perimeter?
The Face Perimeter of Icosahedron given Perimeter formula is defined as the total distance around the three edges of any face of the Icosahedron, and is calculated using the perimeter of the Icosahedron and is represented as PFace = P/10 or Face Perimeter of Icosahedron = Perimeter of Icosahedron/10. Perimeter of Icosahedron is the sum of the total distance around all the edges of the Icosahedron.
How to calculate Face Perimeter of Icosahedron given Perimeter?
The Face Perimeter of Icosahedron given Perimeter formula is defined as the total distance around the three edges of any face of the Icosahedron, and is calculated using the perimeter of the Icosahedron is calculated using Face Perimeter of Icosahedron = Perimeter of Icosahedron/10. To calculate Face Perimeter of Icosahedron given Perimeter, you need Perimeter of Icosahedron (P). With our tool, you need to enter the respective value for Perimeter of Icosahedron 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 Face Perimeter of Icosahedron?
In this formula, Face Perimeter of Icosahedron uses Perimeter of Icosahedron. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • Face Perimeter of Icosahedron = (36*sqrt(3))/((3+sqrt(5))*Surface to Volume Ratio of Icosahedron)
  • Face Perimeter of Icosahedron = 3*((12*Volume of Icosahedron)/(5*(3+sqrt(5))))^(1/3)
  • Face Perimeter of Icosahedron = 3*sqrt(Total Surface Area of Icosahedron/(5*sqrt(3)))
  • Face Perimeter of Icosahedron = (36*Insphere Radius of Icosahedron)/(sqrt(3)*(3+sqrt(5)))
  • Face Perimeter of Icosahedron = (12*Midsphere Radius of Icosahedron)/(1+sqrt(5))
  • Face Perimeter of Icosahedron = (12*Circumsphere Radius of Icosahedron)/(sqrt(10+(2*sqrt(5))))
  • Face Perimeter of Icosahedron = 3*Edge Length of Icosahedron
  • Face Perimeter of Icosahedron = 3*sqrt((4*Face Area of Icosahedron)/sqrt(3))
  • Face Perimeter of Icosahedron = (6*Space Diagonal of Icosahedron)/(sqrt(10+(2*sqrt(5))))
  • Face Perimeter of Icosahedron = 3*sqrt((2*Lateral Surface Area of Icosahedron)/(9*sqrt(3)))
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