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## Edge length of Great Dodecahedron given surface area Solution

STEP 0: Pre-Calculation Summary
Formula Used
side_a = sqrt(Surface Area/(15*(sqrt(5-2*sqrt(5)))))
Sa = sqrt(SA/(15*(sqrt(5-2*sqrt(5)))))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Surface Area - The surface area of a three-dimensional shape is the sum of all of the surface areas of each of the sides. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Surface Area: 50 Square Meter --> 50 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Sa = sqrt(SA/(15*(sqrt(5-2*sqrt(5))))) --> sqrt(50/(15*(sqrt(5-2*sqrt(5)))))
Evaluating ... ...
Sa = 2.14194764989808
STEP 3: Convert Result to Output's Unit
2.14194764989808 Meter --> No Conversion Required
2.14194764989808 Meter <-- Side A
(Calculation completed in 00.000 seconds)

## < 6 Edge length of Great Dodecahedron Calculators

Edge length of Great Dodecahedron given surface to volume ratio
side_a = (15*(sqrt(5-2*sqrt(5))))/((5/4)*(sqrt(5)-1)*Surface to Volume Ratio) Go
Edge length of Great Dodecahedron given surface area
side_a = sqrt(Surface Area/(15*(sqrt(5-2*sqrt(5))))) Go
Edge length of Great Dodecahedron given circumradius
Edge length of Great Dodecahedron given pyramid height
side_a = (6*Height)/(sqrt(3)*(3-sqrt(5))) Go
Edge length of Great Dodecahedron given volume
side_a = ((4*Volume)/(5*(sqrt(5)-1)))^(1/3) Go
Edge length of Great Dodecahedron given ridge length
side_a = (2*Length)/(sqrt(5)-1) Go

### Edge length of Great Dodecahedron given surface area Formula

side_a = sqrt(Surface Area/(15*(sqrt(5-2*sqrt(5)))))
Sa = sqrt(SA/(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 of Great Dodecahedron given surface area?

Edge length of Great Dodecahedron given surface area calculator uses side_a = sqrt(Surface Area/(15*(sqrt(5-2*sqrt(5))))) to calculate the Side A, Edge length of Great Dodecahedron given surface area formula is defined as a straight line connecting two vertices of Great Dodecahedron. Side A and is denoted by Sa symbol.

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

### FAQ

What is Edge length of Great Dodecahedron given surface area?
Edge length of Great Dodecahedron given surface area formula is defined as a straight line connecting two vertices of Great Dodecahedron and is represented as Sa = sqrt(SA/(15*(sqrt(5-2*sqrt(5))))) or side_a = sqrt(Surface Area/(15*(sqrt(5-2*sqrt(5))))). The surface area of a three-dimensional shape is the sum of all of the surface areas of each of the sides.
How to calculate Edge length of Great Dodecahedron given surface area?
Edge length of Great Dodecahedron given surface area formula is defined as a straight line connecting two vertices of Great Dodecahedron is calculated using side_a = sqrt(Surface Area/(15*(sqrt(5-2*sqrt(5))))). To calculate Edge length of Great Dodecahedron given surface area, you need Surface Area (SA). With our tool, you need to enter the respective value for Surface 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 Side A?
In this formula, Side A uses Surface Area. We can use 6 other way(s) to calculate the same, which is/are as follows -
• side_a = (2*Length)/(sqrt(5)-1)