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Edge length of Great Icosahedron given surface to volume ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
side_a = (3*sqrt(3)*(5+4*sqrt(5)))/((1/4)*(25+9*sqrt(5))*Surface to Volume Ratio)
Sa = (3*sqrt(3)*(5+4*sqrt(5)))/((1/4)*(25+9*sqrt(5))*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 = (3*sqrt(3)*(5+4*sqrt(5)))/((1/4)*(25+9*sqrt(5))*RAV) --> (3*sqrt(3)*(5+4*sqrt(5)))/((1/4)*(25+9*sqrt(5))*0.5)
Evaluating ... ...
Sa = 12.8455952318312
STEP 3: Convert Result to Output's Unit
12.8455952318312 Meter --> No Conversion Required
FINAL ANSWER
12.8455952318312 Meter <-- Side A
(Calculation completed in 00.000 seconds)

7 Edge length of Great Icosahedron Calculators

Edge length of Great Icosahedron given surface to volume ratio
side_a = (3*sqrt(3)*(5+4*sqrt(5)))/((1/4)*(25+9*sqrt(5))*Surface to Volume Ratio) Go
Edge length of Great Icosahedron given surface area
side_a = sqrt(Surface Area/(3*sqrt(3)*(5+4*sqrt(5)))) Go
Edge length of Great Icosahedron given ridge length 2
side_a = (10*Ridge Length 2)/(sqrt(2)*(5+3*sqrt(5))) Go
Edge length of Great Icosahedron given circumradius
side_a = (4*Circumradius)/(sqrt(50+22*sqrt(5))) Go
Edge length of Great Icosahedron given volume
side_a = ((4*Volume)/(25+9*sqrt(5)))^(1/3) Go
Edge length of Great Icosahedron given ridge length 1
side_a = (2*Ridge Length 1)/(1+sqrt(5)) Go
Edge length of Great Icosahedron given ridge length 3
side_a = (5*Ridge Length 3)/sqrt(10) Go

Edge length of Great Icosahedron given surface to volume ratio Formula

side_a = (3*sqrt(3)*(5+4*sqrt(5)))/((1/4)*(25+9*sqrt(5))*Surface to Volume Ratio)
Sa = (3*sqrt(3)*(5+4*sqrt(5)))/((1/4)*(25+9*sqrt(5))*RAV)

What is Great Icosahedron?

In geometry, the great icosahedron is one of four Kepler–Poinsot polyhedra, with Schläfli symbol {3, ​⁵⁄₂} and Coxeter–Dynkin diagram of. It is composed of 20 intersecting triangular faces, having five triangles meeting at each vertex in a pentagrammic sequence.

How to Calculate Edge length of Great Icosahedron given surface to volume ratio?

Edge length of Great Icosahedron given surface to volume ratio calculator uses side_a = (3*sqrt(3)*(5+4*sqrt(5)))/((1/4)*(25+9*sqrt(5))*Surface to Volume Ratio) to calculate the Side A, Edge length of Great Icosahedron given surface to volume ratio formula is defined as a straight line connecting two vertices of Great Icosahedron. Side A and is denoted by Sa symbol.

How to calculate Edge length of Great Icosahedron given surface to volume ratio using this online calculator? To use this online calculator for Edge length of Great Icosahedron given surface to volume ratio, enter Surface to Volume Ratio (RAV) and hit the calculate button. Here is how the Edge length of Great Icosahedron given surface to volume ratio calculation can be explained with given input values -> 12.8456 = (3*sqrt(3)*(5+4*sqrt(5)))/((1/4)*(25+9*sqrt(5))*0.5).

FAQ

What is Edge length of Great Icosahedron given surface to volume ratio?
Edge length of Great Icosahedron given surface to volume ratio formula is defined as a straight line connecting two vertices of Great Icosahedron and is represented as Sa = (3*sqrt(3)*(5+4*sqrt(5)))/((1/4)*(25+9*sqrt(5))*RAV) or side_a = (3*sqrt(3)*(5+4*sqrt(5)))/((1/4)*(25+9*sqrt(5))*Surface to Volume Ratio). Surface to Volume Ratio is fraction of surface to volume.
How to calculate Edge length of Great Icosahedron given surface to volume ratio?
Edge length of Great Icosahedron given surface to volume ratio formula is defined as a straight line connecting two vertices of Great Icosahedron is calculated using side_a = (3*sqrt(3)*(5+4*sqrt(5)))/((1/4)*(25+9*sqrt(5))*Surface to Volume Ratio). To calculate Edge length of Great Icosahedron 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 7 other way(s) to calculate the same, which is/are as follows -
  • side_a = (2*Ridge Length 1)/(1+sqrt(5))
  • side_a = (10*Ridge Length 2)/(sqrt(2)*(5+3*sqrt(5)))
  • side_a = (5*Ridge Length 3)/sqrt(10)
  • side_a = (4*Circumradius)/(sqrt(50+22*sqrt(5)))
  • side_a = sqrt(Surface Area/(3*sqrt(3)*(5+4*sqrt(5))))
  • side_a = ((4*Volume)/(25+9*sqrt(5)))^(1/3)
  • side_a = (3*sqrt(3)*(5+4*sqrt(5)))/((1/4)*(25+9*sqrt(5))*Surface to Volume Ratio)
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