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ridge length (s) of Great Icosahedron given Surface-to-volume ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
length = ((1+sqrt(5))/2)*(((3*sqrt(3)*(5+4*sqrt(5)))/((1/4)*(25+9*sqrt(5))*surface to volume ratio)))
l = ((1+sqrt(5))/2)*(((3*sqrt(3)*(5+4*sqrt(5)))/((1/4)*(25+9*sqrt(5))*r)))
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
l = ((1+sqrt(5))/2)*(((3*sqrt(3)*(5+4*sqrt(5)))/((1/4)*(25+9*sqrt(5))*r))) --> ((1+sqrt(5))/2)*(((3*sqrt(3)*(5+4*sqrt(5)))/((1/4)*(25+9*sqrt(5))*0.5)))
Evaluating ... ...
l = 20.7846096908265
STEP 3: Convert Result to Output's Unit
20.7846096908265 Meter --> No Conversion Required
FINAL ANSWER
20.7846096908265 Meter <-- Length
(Calculation completed in 00.078 seconds)

11 Other formulas that you can solve using the same Inputs

volume of Rhombic Dodecahedron given Surface-to-volume ratio
volume = (16/9)*sqrt(3)*((9*sqrt(2))/(2*sqrt(3)*surface to volume ratio))^3 Go
Volume of triakis tetrahedron given surface-volume-ratio
volume = (3/20)*sqrt(2)*((4*sqrt(11))/(surface to volume ratio*sqrt(2)))^3 Go
side given Surface-to-volume ratio (A/V) of Rhombic Triacontahedron
side = (3*sqrt(5))/(surface to volume ratio*(sqrt(5+(2*sqrt(5))))) Go
height of triakis tetrahedron given surface-volime-ratio
height = (3/5)*(sqrt(6))*(4/surface to volume ratio)*(sqrt(11/2)) Go
edge length of Rhombic Dodecahedron given Surface-to-volume ratio
side_a = (9*sqrt(2))/(2*sqrt(3)*surface to volume ratio) Go
edge length of tetrahedron(a) of triakis tetrahedron given Surface-to-volume ratio (A/V)
side_a = (4*sqrt(11))/(surface to volume ratio*sqrt(2)) Go
Area of triakis tetrahedron given surface-volume-ratio
area = (3/5)*(sqrt(11/2))*(4/surface to volume ratio)^2 Go
Area of Rhombic Dodecahedron given Surface-to-volume ratio
area = (108*sqrt(2))/((surface to volume ratio)^2) Go
Midsphere radius of Rhombic Dodecahedron given Surface-to-volume ratio
radius = (6/sqrt(3))*(1/surface to volume ratio) Go
Midsphere radius of triakis tetrahedron given surface-volume-ratio
radius = sqrt(11)/surface to volume ratio Go
Insphere radius of triakis tetrahedron given surface-volume-ratio
radius = 3/surface to volume ratio Go

11 Other formulas that calculate the same Output

Unbraced Member Length when Critical Bending Moment of Rectangular Beam is Given
length = (pi/Critical Bending Moment)*(sqrt(Modulus Of Elasticity*Moment of Inertia about Minor Axis*Shear Modulus of Elasticity*Torsional constant)) Go
Length over which Deformation Takes Place when Strain Energy in Shear is Given
length = 2*Strain Energy*Shear Area*Shear Modulus of Elasticity/(Shear Force^2) Go
Length of rectangle when diagonal and angle between two diagonal are given
length = Diagonal*sin(sinϑ/2) Go
Length of a rectangle in terms of diagonal and angle between diagonal and breadth
length = Diagonal*sin(sinϑ) Go
Length of rectangle when diagonal and breadth are given
length = sqrt(Diagonal^2-Breadth^2) Go
Length of rectangle when perimeter and breadth are given
length = (Perimeter-2*Breadth)/2 Go
Length of rectangle when area and breadth are given
length = Area/Breadth Go
Length of the major axis of an ellipse (b>a)
length = 2*Major axis Go
Length of major axis of an ellipse (a>b)
length = 2*Major axis Go
Length of minor axis of an ellipse (a>b)
length = 2*Minor axis Go
Length of minor axis of an ellipse (b>a)
length = 2*Minor axis Go

ridge length (s) of Great Icosahedron given Surface-to-volume ratio Formula

length = ((1+sqrt(5))/2)*(((3*sqrt(3)*(5+4*sqrt(5)))/((1/4)*(25+9*sqrt(5))*surface to volume ratio)))
l = ((1+sqrt(5))/2)*(((3*sqrt(3)*(5+4*sqrt(5)))/((1/4)*(25+9*sqrt(5))*r)))

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 ridge length (s) of Great Icosahedron given Surface-to-volume ratio?

ridge length (s) of Great Icosahedron given Surface-to-volume ratio calculator uses length = ((1+sqrt(5))/2)*(((3*sqrt(3)*(5+4*sqrt(5)))/((1/4)*(25+9*sqrt(5))*surface to volume ratio))) to calculate the Length, The ridge length (s) of Great Icosahedron given Surface-to-volume ratio formula is defined as measurement of a long, narrow crest of Great Icosahedron. Length and is denoted by l symbol.

How to calculate ridge length (s) of Great Icosahedron given Surface-to-volume ratio using this online calculator? To use this online calculator for ridge length (s) of Great Icosahedron given Surface-to-volume ratio, enter surface to volume ratio (r) and hit the calculate button. Here is how the ridge length (s) of Great Icosahedron given Surface-to-volume ratio calculation can be explained with given input values -> 20.78461 = ((1+sqrt(5))/2)*(((3*sqrt(3)*(5+4*sqrt(5)))/((1/4)*(25+9*sqrt(5))*0.5))).

FAQ

What is ridge length (s) of Great Icosahedron given Surface-to-volume ratio?
The ridge length (s) of Great Icosahedron given Surface-to-volume ratio formula is defined as measurement of a long, narrow crest of Great Icosahedron and is represented as l = ((1+sqrt(5))/2)*(((3*sqrt(3)*(5+4*sqrt(5)))/((1/4)*(25+9*sqrt(5))*r))) or length = ((1+sqrt(5))/2)*(((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 ridge length (s) of Great Icosahedron given Surface-to-volume ratio?
The ridge length (s) of Great Icosahedron given Surface-to-volume ratio formula is defined as measurement of a long, narrow crest of Great Icosahedron is calculated using length = ((1+sqrt(5))/2)*(((3*sqrt(3)*(5+4*sqrt(5)))/((1/4)*(25+9*sqrt(5))*surface to volume ratio))). To calculate ridge length (s) of Great Icosahedron given Surface-to-volume ratio, you need surface to volume ratio (r). 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 Length?
In this formula, Length uses surface to volume ratio. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • length = sqrt(Diagonal^2-Breadth^2)
  • length = Area/Breadth
  • length = (Perimeter-2*Breadth)/2
  • length = Diagonal*sin(sinϑ)
  • length = Diagonal*sin(sinϑ/2)
  • length = 2*Major axis
  • length = 2*Major axis
  • length = 2*Minor axis
  • length = 2*Minor axis
  • length = (pi/Critical Bending Moment)*(sqrt(Modulus Of Elasticity*Moment of Inertia about Minor Axis*Shear Modulus of Elasticity*Torsional constant))
  • length = 2*Strain Energy*Shear Area*Shear Modulus of Elasticity/(Shear Force^2)
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