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Edge length (a) of Great Dodecahedron given Surface area (A) Solution

STEP 0: Pre-Calculation Summary
Formula Used
length_edge = sqrt(Area/(15*(sqrt(5-2*sqrt(5)))))
a = sqrt(A/(15*(sqrt(5-2*sqrt(5)))))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Area - The area is the amount of two-dimensional space taken up by an object. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
a = sqrt(A/(15*(sqrt(5-2*sqrt(5))))) --> sqrt(50/(15*(sqrt(5-2*sqrt(5)))))
Evaluating ... ...
a = 2.14194764989808
STEP 3: Convert Result to Output's Unit
2.14194764989808 Meter --> No Conversion Required
FINAL ANSWER
2.14194764989808 Meter <-- Length of edge
(Calculation completed in 00.000 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 Surface area (A) Formula

length_edge = sqrt(Area/(15*(sqrt(5-2*sqrt(5)))))
a = sqrt(A/(15*(sqrt(5-2*sqrt(5)))))

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 Surface area (A)?

Edge length (a) of Great Dodecahedron given Surface area (A) calculator uses length_edge = sqrt(Area/(15*(sqrt(5-2*sqrt(5))))) to calculate the Length of edge, The Edge length (a) of Great Dodecahedron given Surface area (A) 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 Surface area (A) using this online calculator? To use this online calculator for Edge length (a) of Great Dodecahedron given Surface area (A), enter Area (A) and hit the calculate button. Here is how the Edge length (a) of Great Dodecahedron given Surface area (A) calculation can be explained with given input values -> 2.141948 = sqrt(50/(15*(sqrt(5-2*sqrt(5))))).

FAQ

What is Edge length (a) of Great Dodecahedron given Surface area (A)?
The Edge length (a) of Great Dodecahedron given Surface area (A) formula is defined as a straight line connecting two vertices of Great Dodecahedron and is represented as a = sqrt(A/(15*(sqrt(5-2*sqrt(5))))) or length_edge = sqrt(Area/(15*(sqrt(5-2*sqrt(5))))). The area is the amount of two-dimensional space taken up by an object.
How to calculate Edge length (a) of Great Dodecahedron given Surface area (A)?
The Edge length (a) of Great Dodecahedron given Surface area (A) formula is defined as a straight line connecting two vertices of Great Dodecahedron is calculated using length_edge = sqrt(Area/(15*(sqrt(5-2*sqrt(5))))). To calculate Edge length (a) of Great Dodecahedron given Surface area (A), you need Area (A). With our tool, you need to enter the respective value for Area 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 Area. 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 Surface area (A) calculator used?
Among many, Edge length (a) of Great Dodecahedron given Surface area (A) calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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