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Edge length of Great Dodecahedron given surface to volume ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
side_a = (15*(sqrt(5-2*sqrt(5))))/((5/4)*(sqrt(5)-1)*Surface to Volume Ratio)
Sa = (15*(sqrt(5-2*sqrt(5))))/((5/4)*(sqrt(5)-1)*RAV)
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Surface to Volume Ratio - Surface to Volume Ratio is fraction of surface to volume. (Measured in Hundred)
STEP 1: Convert Input(s) to Base Unit
Surface to Volume Ratio: 0.5 Hundred --> 0.5 Hundred No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Sa = (15*(sqrt(5-2*sqrt(5))))/((5/4)*(sqrt(5)-1)*RAV) --> (15*(sqrt(5-2*sqrt(5))))/((5/4)*(sqrt(5)-1)*0.5)
Evaluating ... ...
Sa = 14.1068460550194
STEP 3: Convert Result to Output's Unit
14.1068460550194 Meter --> No Conversion Required
FINAL ANSWER
14.1068460550194 Meter <-- Side A
(Calculation completed in 00.016 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
side_a = (4*Circumradius)/(sqrt(10+2*sqrt(5))) Go
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 to volume ratio Formula

side_a = (15*(sqrt(5-2*sqrt(5))))/((5/4)*(sqrt(5)-1)*Surface to Volume Ratio)
Sa = (15*(sqrt(5-2*sqrt(5))))/((5/4)*(sqrt(5)-1)*RAV)

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 to volume ratio?

Edge length of Great Dodecahedron given surface to volume ratio calculator uses side_a = (15*(sqrt(5-2*sqrt(5))))/((5/4)*(sqrt(5)-1)*Surface to Volume Ratio) to calculate the Side A, Edge length of Great Dodecahedron given surface to volume ratio 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 to volume ratio using this online calculator? To use this online calculator for Edge length of Great Dodecahedron given surface to volume ratio, enter Surface to Volume Ratio (RAV) and hit the calculate button. Here is how the Edge length of Great Dodecahedron given surface to volume ratio calculation can be explained with given input values -> 14.10685 = (15*(sqrt(5-2*sqrt(5))))/((5/4)*(sqrt(5)-1)*0.5).

FAQ

What is Edge length of Great Dodecahedron given surface to volume ratio?
Edge length of Great Dodecahedron given surface to volume ratio formula is defined as a straight line connecting two vertices of Great Dodecahedron and is represented as Sa = (15*(sqrt(5-2*sqrt(5))))/((5/4)*(sqrt(5)-1)*RAV) or side_a = (15*(sqrt(5-2*sqrt(5))))/((5/4)*(sqrt(5)-1)*Surface to Volume Ratio). Surface to Volume Ratio is fraction of surface to volume.
How to calculate Edge length of Great Dodecahedron given surface to volume ratio?
Edge length of Great Dodecahedron given surface to volume ratio formula is defined as a straight line connecting two vertices of Great Dodecahedron is calculated using side_a = (15*(sqrt(5-2*sqrt(5))))/((5/4)*(sqrt(5)-1)*Surface to Volume Ratio). To calculate Edge length of Great Dodecahedron given surface to volume ratio, you need Surface to Volume Ratio (RAV). With our tool, you need to enter the respective value for Surface to Volume Ratio 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 to Volume Ratio. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • side_a = (2*Length)/(sqrt(5)-1)
  • side_a = (4*Circumradius)/(sqrt(10+2*sqrt(5)))
  • side_a = (6*Height)/(sqrt(3)*(3-sqrt(5)))
  • side_a = sqrt(Surface Area/(15*(sqrt(5-2*sqrt(5)))))
  • side_a = ((4*Volume)/(5*(sqrt(5)-1)))^(1/3)
  • side_a = (15*(sqrt(5-2*sqrt(5))))/((5/4)*(sqrt(5)-1)*Surface to Volume Ratio)
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