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Edge length of Great Icosahedron given surface area Solution

STEP 0: Pre-Calculation Summary
Formula Used
side_a = sqrt(Surface Area/(3*sqrt(3)*(5+4*sqrt(5))))
Sa = sqrt(SA/(3*sqrt(3)*(5+4*sqrt(5))))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Surface Area - The surface area of a three-dimensional shape is the sum of all of the surface areas of each of the sides. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Surface Area: 50 Square Meter --> 50 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Sa = sqrt(SA/(3*sqrt(3)*(5+4*sqrt(5)))) --> sqrt(50/(3*sqrt(3)*(5+4*sqrt(5))))
Evaluating ... ...
Sa = 0.830703690197416
STEP 3: Convert Result to Output's Unit
0.830703690197416 Meter --> No Conversion Required
FINAL ANSWER
0.830703690197416 Meter <-- Side A
(Calculation completed in 00.016 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 area Formula

side_a = sqrt(Surface Area/(3*sqrt(3)*(5+4*sqrt(5))))
Sa = sqrt(SA/(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 side_a = sqrt(Surface Area/(3*sqrt(3)*(5+4*sqrt(5)))) to calculate the Side A, The Edge length of Great Icosahedron given Surface area 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 area using this online calculator? To use this online calculator for Edge length of Great Icosahedron given surface area, enter Surface Area (SA) 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 Sa = sqrt(SA/(3*sqrt(3)*(5+4*sqrt(5)))) or side_a = sqrt(Surface Area/(3*sqrt(3)*(5+4*sqrt(5)))). The surface area of a three-dimensional shape is the sum of all of the surface areas of each of the sides.
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 side_a = sqrt(Surface Area/(3*sqrt(3)*(5+4*sqrt(5)))). To calculate Edge length of Great Icosahedron given surface area, you need Surface Area (SA). With our tool, you need to enter the respective value for Surface 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 Side A?
In this formula, Side A uses Surface Area. 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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