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Edge length of Great Icosahedron given volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
side_a = ((4*Volume)/(25+9*sqrt(5)))^(1/3)
Sa = ((4*V)/(25+9*sqrt(5)))^(1/3)
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Volume - Volume is the amount of space that a substance or object occupies or that is enclosed within a container. (Measured in Cubic Meter)
STEP 1: Convert Input(s) to Base Unit
Volume: 63 Cubic Meter --> 63 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Sa = ((4*V)/(25+9*sqrt(5)))^(1/3) --> ((4*63)/(25+9*sqrt(5)))^(1/3)
Evaluating ... ...
Sa = 1.77417186283513
STEP 3: Convert Result to Output's Unit
1.77417186283513 Meter --> No Conversion Required
FINAL ANSWER
1.77417186283513 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 volume Formula

side_a = ((4*Volume)/(25+9*sqrt(5)))^(1/3)
Sa = ((4*V)/(25+9*sqrt(5)))^(1/3)

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 volume?

Edge length of Great Icosahedron given volume calculator uses side_a = ((4*Volume)/(25+9*sqrt(5)))^(1/3) to calculate the Side A, The Edge length of Great Icosahedron given volume 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 volume using this online calculator? To use this online calculator for Edge length of Great Icosahedron given volume, enter Volume (V) and hit the calculate button. Here is how the Edge length of Great Icosahedron given volume calculation can be explained with given input values -> 1.774172 = ((4*63)/(25+9*sqrt(5)))^(1/3).

FAQ

What is Edge length of Great Icosahedron given volume?
The Edge length of Great Icosahedron given volume formula is defined as a straight line connecting two vertices of Great Icosahedron and is represented as Sa = ((4*V)/(25+9*sqrt(5)))^(1/3) or side_a = ((4*Volume)/(25+9*sqrt(5)))^(1/3). Volume is the amount of space that a substance or object occupies or that is enclosed within a container.
How to calculate Edge length of Great Icosahedron given volume?
The Edge length of Great Icosahedron given volume formula is defined as a straight line connecting two vertices of Great Icosahedron is calculated using side_a = ((4*Volume)/(25+9*sqrt(5)))^(1/3). To calculate Edge length of Great Icosahedron given volume, you need Volume (V). With our tool, you need to enter the respective value for Volume 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 Volume. 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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