Face Perimeter of Icosahedron Calculator

✖Edge Length of Icosahedron is the length of any of edges of the Icosahedron or the distance between any pair of adjacent vertices of the Icosahedron.ⓘ Edge Length of Icosahedron [l_e]

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✖Face Perimeter of Icosahedron is the total distance around the five edges of any face of the Icosahedron.ⓘ Face Perimeter of Icosahedron [P_Face]

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Face Perimeter of Icosahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Face Perimeter of Icosahedron = 3*Edge Length of Icosahedron
P_Face = 3*l_e
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.
Edge Length of Icosahedron - (Measured in Meter) - Edge Length of Icosahedron is the length of any of edges of the Icosahedron or the distance between any pair of adjacent vertices of the Icosahedron.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Icosahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_Face = 3*l_e --> 3*10

Evaluating ... ...

P_Face = 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 00.020 seconds)

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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!

Verified by Nikhil

Mumbai University (DJSCE), Mumbai

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< Face Perimeter of Icosahedron Calculators

Face Perimeter of Icosahedron given Surface to Volume Ratio

LaTeX Go Face Perimeter of Icosahedron = (36*sqrt(3))/((3+sqrt(5))*Surface to Volume Ratio of Icosahedron)

Face Perimeter of Icosahedron given Insphere Radius

LaTeX Go Face Perimeter of Icosahedron = (36*Insphere Radius of Icosahedron)/(sqrt(3)*(3+sqrt(5)))

Face Perimeter of Icosahedron given Total Surface Area

LaTeX Go Face Perimeter of Icosahedron = 3*sqrt(Total Surface Area of Icosahedron/(5*sqrt(3)))

Face Perimeter of Icosahedron given Volume

LaTeX Go Face Perimeter of Icosahedron = 3*((12*Volume of Icosahedron)/(5*(3+sqrt(5))))^(1/3)

< Perimeter of Icosahedron Calculators

Face Perimeter of Icosahedron given Circumsphere Radius

LaTeX Go Face Perimeter of Icosahedron = (12*Circumsphere Radius of Icosahedron)/(sqrt(10+(2*sqrt(5))))

Face Perimeter of Icosahedron given Volume

LaTeX Go Face Perimeter of Icosahedron = 3*((12*Volume of Icosahedron)/(5*(3+sqrt(5))))^(1/3)

Face Perimeter of Icosahedron

LaTeX Go Face Perimeter of Icosahedron = 3*Edge Length of Icosahedron

Perimeter of Icosahedron

LaTeX Go Perimeter of Icosahedron = 30*Edge Length of Icosahedron

Face Perimeter of Icosahedron Formula

LaTeX Go

Face Perimeter of Icosahedron = 3*Edge Length of Icosahedron
P_Face = 3*l_e

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?

Face Perimeter of Icosahedron calculator uses Face Perimeter of Icosahedron = 3*Edge Length of Icosahedron to calculate the Face Perimeter of Icosahedron, The Face Perimeter of Icosahedron formula is defined as the total distance around the three edges of any face of the Icosahedron. Face Perimeter of Icosahedron is denoted by P_Face symbol.

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

FAQ

What is Face Perimeter of Icosahedron?

The Face Perimeter of Icosahedron formula is defined as the total distance around the three edges of any face of the Icosahedron and is represented as P_Face = 3*l_e or Face Perimeter of Icosahedron = 3*Edge Length of Icosahedron. Edge Length of Icosahedron is the length of any of edges of the Icosahedron or the distance between any pair of adjacent vertices of the Icosahedron.

How to calculate Face Perimeter of Icosahedron?

The Face Perimeter of Icosahedron formula is defined as the total distance around the three edges of any face of the Icosahedron is calculated using Face Perimeter of Icosahedron = 3*Edge Length of Icosahedron. To calculate Face Perimeter of Icosahedron, you need Edge Length of Icosahedron (l_e). With our tool, you need to enter the respective value for Edge Length 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 Edge Length of Icosahedron. We can use 3 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)))

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