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Edge length of Great Icosahedron given Surface area Solution

STEP 0: Pre-Calculation Summary
Formula Used
length_edge = sqrt(Area/(3*sqrt(3)*(5+4*sqrt(5))))
a = sqrt(A/(3*sqrt(3)*(5+4*sqrt(5))))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Area - The area is the amount of two-dimensional space taken up by an object. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
a = sqrt(A/(3*sqrt(3)*(5+4*sqrt(5)))) --> sqrt(50/(3*sqrt(3)*(5+4*sqrt(5))))
Evaluating ... ...
a = 0.830703690197416
STEP 3: Convert Result to Output's Unit
0.830703690197416 Meter --> No Conversion Required
FINAL ANSWER
0.830703690197416 Meter <-- Length of edge
(Calculation completed in 00.016 seconds)

11 Other formulas that you can solve using the same Inputs

Diagonal of a Rectangle when breadth and area are given
diagonal = sqrt(((Area)^2/(Breadth)^2)+(Breadth)^2) Go
Diagonal of a Rectangle when length and area are given
diagonal = sqrt(((Area)^2/(Length)^2)+(Length)^2) Go
Side of a Kite when other side and area are given
side_a = (Area*cosec(Angle Between Sides))/Side B Go
Perimeter of rectangle when area and rectangle length are given
perimeter = (2*Area+2*(Length)^2)/Length Go
Buoyant Force
buoyant_force = Pressure*Area Go
Perimeter of a square when area is given
perimeter = 4*sqrt(Area) Go
Diagonal of a Square when area is given
diagonal = sqrt(2*Area) Go
Length of rectangle when area and breadth are given
length = Area/Breadth Go
Breadth of rectangle when area and length are given
breadth = Area/Length Go
Pressure when force and area are given
pressure = Force/Area Go
Stress
stress = Force/Area 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 Surface area Formula

length_edge = sqrt(Area/(3*sqrt(3)*(5+4*sqrt(5))))
a = sqrt(A/(3*sqrt(3)*(5+4*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 Surface area?

Edge length of Great Icosahedron given Surface area calculator uses length_edge = sqrt(Area/(3*sqrt(3)*(5+4*sqrt(5)))) to calculate the Length of edge, The Edge length of Great Icosahedron given Surface area 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 Surface area using this online calculator? To use this online calculator for Edge length of Great Icosahedron given Surface area, enter Area (A) and hit the calculate button. Here is how the Edge length of Great Icosahedron given Surface area calculation can be explained with given input values -> 0.830704 = sqrt(50/(3*sqrt(3)*(5+4*sqrt(5)))).

FAQ

What is Edge length of Great Icosahedron given Surface area?
The Edge length of Great Icosahedron given Surface area formula is defined as a straight line connecting two vertices of Great Icosahedron and is represented as a = sqrt(A/(3*sqrt(3)*(5+4*sqrt(5)))) or length_edge = sqrt(Area/(3*sqrt(3)*(5+4*sqrt(5)))). The area is the amount of two-dimensional space taken up by an object.
How to calculate Edge length of Great Icosahedron given Surface area?
The Edge length of Great Icosahedron given Surface area formula is defined as a straight line connecting two vertices of Great Icosahedron is calculated using length_edge = sqrt(Area/(3*sqrt(3)*(5+4*sqrt(5)))). To calculate Edge length of Great Icosahedron given Surface area, you need Area (A). With our tool, you need to enter the respective value for 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 Length of edge?
In this formula, Length of edge uses Area. 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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