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Edge length (a) of Great Dodecahedron given Ridge length (s) Solution

STEP 0: Pre-Calculation Summary
Formula Used
length_edge = (2*length 1)/(sqrt(5)-1)
a = (2*l1)/(sqrt(5)-1)
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
length 1 - Length 1 is the length of the first body. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
length 1: 1 Meter --> 1 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
a = (2*l1)/(sqrt(5)-1) --> (2*1)/(sqrt(5)-1)
Evaluating ... ...
a = 1.61803398874989
STEP 3: Convert Result to Output's Unit
1.61803398874989 Meter --> No Conversion Required
FINAL ANSWER
1.61803398874989 Meter <-- Length of edge
(Calculation completed in 00.017 seconds)

6 Edge length of Great Dodecahedron Calculators

Edge length (a) of Great Dodecahedron given Surface-to-volume ratio (A/V)
length_edge = (15*(sqrt(5-2*sqrt(5))))/((5/4)*(sqrt(5)-1)*surface to volume ratio) Go
Edge length (a) of Great Dodecahedron given Surface area (A)
length_edge = sqrt(Area/(15*(sqrt(5-2*sqrt(5))))) Go
Edge length (a) of Great Dodecahedron given Pyramid height (hp)
length_edge = (6*Height)/(sqrt(3)*(3-sqrt(5))) Go
Edge length (a) of Great Dodecahedron given Circumsphere radius (rc)
length_edge = (4*Radius)/(sqrt(10+2*sqrt(5))) Go
Edge length (a) of Great Dodecahedron given Volume (V)
length_edge = ((4*Volume)/(5*(sqrt(5)-1)))^(1/3) Go
Edge length (a) of Great Dodecahedron given Ridge length (s)
length_edge = (2*length 1)/(sqrt(5)-1) Go

Edge length (a) of Great Dodecahedron given Ridge length (s) Formula

length_edge = (2*length 1)/(sqrt(5)-1)
a = (2*l1)/(sqrt(5)-1)

What is Great Dodecahedron ?

In geometry, the great dodecahedron is a Kepler–Poinsot polyhedron, with Schläfli symbol {5,5/2} and Coxeter–Dynkin diagram of. It is one of four nonconvex regular polyhedra. It is composed of 12 pentagonal faces, with five pentagons meeting at each vertex, intersecting each other making a pentagrammic path.

How to Calculate Edge length (a) of Great Dodecahedron given Ridge length (s)?

Edge length (a) of Great Dodecahedron given Ridge length (s) calculator uses length_edge = (2*length 1)/(sqrt(5)-1) to calculate the Length of edge, The Edge length (a) of Great Dodecahedron given Ridge length (s) formula is defined as a straight line connecting two vertices of Great Dodecahedron. Length of edge and is denoted by a symbol.

How to calculate Edge length (a) of Great Dodecahedron given Ridge length (s) using this online calculator? To use this online calculator for Edge length (a) of Great Dodecahedron given Ridge length (s), enter length 1 (l1) and hit the calculate button. Here is how the Edge length (a) of Great Dodecahedron given Ridge length (s) calculation can be explained with given input values -> 1.618034 = (2*1)/(sqrt(5)-1).

FAQ

What is Edge length (a) of Great Dodecahedron given Ridge length (s)?
The Edge length (a) of Great Dodecahedron given Ridge length (s) formula is defined as a straight line connecting two vertices of Great Dodecahedron and is represented as a = (2*l1)/(sqrt(5)-1) or length_edge = (2*length 1)/(sqrt(5)-1). Length 1 is the length of the first body.
How to calculate Edge length (a) of Great Dodecahedron given Ridge length (s)?
The Edge length (a) of Great Dodecahedron given Ridge length (s) formula is defined as a straight line connecting two vertices of Great Dodecahedron is calculated using length_edge = (2*length 1)/(sqrt(5)-1). To calculate Edge length (a) of Great Dodecahedron given Ridge length (s), you need length 1 (l1). With our tool, you need to enter the respective value for length 1 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 Length of edge?
In this formula, Length of edge uses length 1. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • length_edge = (2*length 1)/(sqrt(5)-1)
  • length_edge = (4*Radius)/(sqrt(10+2*sqrt(5)))
  • length_edge = (6*Height)/(sqrt(3)*(3-sqrt(5)))
  • length_edge = sqrt(Area/(15*(sqrt(5-2*sqrt(5)))))
  • length_edge = ((4*Volume)/(5*(sqrt(5)-1)))^(1/3)
  • length_edge = (15*(sqrt(5-2*sqrt(5))))/((5/4)*(sqrt(5)-1)*surface to volume ratio)
Where is the Edge length (a) of Great Dodecahedron given Ridge length (s) calculator used?
Among many, Edge length (a) of Great Dodecahedron given Ridge length (s) calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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