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Edge length of Great Icosahedron given ridge length (s) Solution

STEP 0: Pre-Calculation Summary
Formula Used
length_edge = (2*Length)/(1+sqrt(5))
a = (2*l)/(1+sqrt(5))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Length - Length is the measurement or extent of something from end to end. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Length: 3 Meter --> 3 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
a = (2*l)/(1+sqrt(5)) --> (2*3)/(1+sqrt(5))
Evaluating ... ...
a = 1.85410196624968
STEP 3: Convert Result to Output's Unit
1.85410196624968 Meter --> No Conversion Required
FINAL ANSWER
1.85410196624968 Meter <-- Length of edge
(Calculation completed in 00.016 seconds)

11 Other formulas that you can solve using the same Inputs

Surface Area of a Rectangular Prism
surface_area = 2*(Length*Width+Length*Height+Width*Height) Go
Magnetic Flux
magnetic_flux = Magnetic Field*Length*Breadth*cos(θ) Go
Perimeter of a rectangle when diagonal and length are given
perimeter = 2*(Length+sqrt((Diagonal)^2-(Length)^2)) Go
Diagonal of a Rectangle when length and area are given
diagonal = sqrt(((Area)^2/(Length)^2)+(Length)^2) Go
Area of a Rectangle when length and diagonal are given
area = Length*(sqrt((Diagonal)^2-(Length)^2)) Go
Diagonal of a Rectangle when length and breadth are given
diagonal = sqrt(Length^2+Breadth^2) Go
Volume of a Rectangular Prism
volume = Width*Height*Length Go
Strain
strain = Change In Length/Length Go
Surface Tension when Force and Length are Given
surface_tension = Force/Length Go
Perimeter of a rectangle when length and width are given
perimeter = 2*Length+2*Width Go
Area of a Rectangle when length and breadth are given
area = Length*Breadth Go

11 Other formulas that calculate the same Output

Lateral edge length of a Right square pyramid when side length and slant height are given
length_edge = sqrt(Side^2/2+(Slant Height^2-Side^2/4)) Go
Lateral edge length of a Right square pyramid when volume and side length is given
length_edge = sqrt(Side^2/2+((3*Volume)/Side^2)^2) 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
Lateral edge length of a Right Square pyramid
length_edge = sqrt(Height^2+Length^2/2) 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 of Regular Octahedron
length_edge = (3^(1/4))*sqrt(Area/18) Go
Edge of Tetrahedron
length_edge = sqrt(Area)/3^(1/4) Go
Edge length tetrahedron of truncated tetrahedron
length_edge = 3*Side Go

Edge length of Great Icosahedron given ridge length (s) Formula

length_edge = (2*Length)/(1+sqrt(5))
a = (2*l)/(1+sqrt(5))

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 ridge length (s)?

Edge length of Great Icosahedron given ridge length (s) calculator uses length_edge = (2*Length)/(1+sqrt(5)) to calculate the Length of edge, The Edge length of Great Icosahedron given ridge length (s) formula is defined as a straight line connecting two vertices of Great Icosahedron. Length of edge and is denoted by a symbol.

How to calculate Edge length of Great Icosahedron given ridge length (s) using this online calculator? To use this online calculator for Edge length of Great Icosahedron given ridge length (s), enter Length (l) and hit the calculate button. Here is how the Edge length of Great Icosahedron given ridge length (s) calculation can be explained with given input values -> 1.854102 = (2*3)/(1+sqrt(5)).

FAQ

What is Edge length of Great Icosahedron given ridge length (s)?
The Edge length of Great Icosahedron given ridge length (s) formula is defined as a straight line connecting two vertices of Great Icosahedron and is represented as a = (2*l)/(1+sqrt(5)) or length_edge = (2*Length)/(1+sqrt(5)). Length is the measurement or extent of something from end to end.
How to calculate Edge length of Great Icosahedron given ridge length (s)?
The Edge length of Great Icosahedron given ridge length (s) formula is defined as a straight line connecting two vertices of Great Icosahedron is calculated using length_edge = (2*Length)/(1+sqrt(5)). To calculate Edge length of Great Icosahedron given ridge length (s), you need Length (l). With our tool, you need to enter the respective value for Length 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 Length. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • length_edge = sqrt(Height^2+Length^2/2)
  • length_edge = sqrt(Side^2/2+(Slant Height^2-Side^2/4))
  • length_edge = sqrt(Side^2/2+((3*Volume)/Side^2)^2)
  • length_edge = sqrt(Area)/3^(1/4)
  • length_edge = (3^(1/4))*sqrt(Area/18)
  • length_edge = 3*Side
  • 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)
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