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Edge length of Great Dodecahedron given pyramid height Solution

STEP 0: Pre-Calculation Summary
Formula Used
side_a = (6*Height)/(sqrt(3)*(3-sqrt(5)))
Sa = (6*h)/(sqrt(3)*(3-sqrt(5)))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Height - Height is the distance between the lowest and highest points of a person standing upright. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Height: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Sa = (6*h)/(sqrt(3)*(3-sqrt(5))) --> (6*12)/(sqrt(3)*(3-sqrt(5)))
Evaluating ... ...
Sa = 54.4148146134843
STEP 3: Convert Result to Output's Unit
54.4148146134843 Meter --> No Conversion Required
FINAL ANSWER
54.4148146134843 Meter <-- Side A
(Calculation completed in 00.000 seconds)

6 Edge length of Great Dodecahedron Calculators

Edge length of Great Dodecahedron given surface to volume ratio
side_a = (15*(sqrt(5-2*sqrt(5))))/((5/4)*(sqrt(5)-1)*Surface to Volume Ratio) Go
Edge length of Great Dodecahedron given surface area
side_a = sqrt(Surface Area/(15*(sqrt(5-2*sqrt(5))))) Go
Edge length of Great Dodecahedron given circumradius
side_a = (4*Circumradius)/(sqrt(10+2*sqrt(5))) Go
Edge length of Great Dodecahedron given pyramid height
side_a = (6*Height)/(sqrt(3)*(3-sqrt(5))) Go
Edge length of Great Dodecahedron given volume
side_a = ((4*Volume)/(5*(sqrt(5)-1)))^(1/3) Go
Edge length of Great Dodecahedron given ridge length
side_a = (2*Length)/(sqrt(5)-1) Go

Edge length of Great Dodecahedron given pyramid height Formula

side_a = (6*Height)/(sqrt(3)*(3-sqrt(5)))
Sa = (6*h)/(sqrt(3)*(3-sqrt(5)))

What is Great Dodecahedron ?

In geometry, the great dodecahedron is a Kepler–Poinsot polyhedron, with Schläfli symbol {5,5/2} and Coxeter–Dynkin diagram of. It is one of four nonconvex regular polyhedra. It is composed of 12 pentagonal faces, with five pentagons meeting at each vertex, intersecting each other making a pentagrammic path.

How to Calculate Edge length of Great Dodecahedron given pyramid height?

Edge length of Great Dodecahedron given pyramid height calculator uses side_a = (6*Height)/(sqrt(3)*(3-sqrt(5))) to calculate the Side A, Edge length of Great Dodecahedron given pyramid height formula is defined as a straight line connecting two vertices of Great Dodecahedron. Side A and is denoted by Sa symbol.

How to calculate Edge length of Great Dodecahedron given pyramid height using this online calculator? To use this online calculator for Edge length of Great Dodecahedron given pyramid height, enter Height (h) and hit the calculate button. Here is how the Edge length of Great Dodecahedron given pyramid height calculation can be explained with given input values -> 54.41481 = (6*12)/(sqrt(3)*(3-sqrt(5))).

FAQ

What is Edge length of Great Dodecahedron given pyramid height?
Edge length of Great Dodecahedron given pyramid height formula is defined as a straight line connecting two vertices of Great Dodecahedron and is represented as Sa = (6*h)/(sqrt(3)*(3-sqrt(5))) or side_a = (6*Height)/(sqrt(3)*(3-sqrt(5))). Height is the distance between the lowest and highest points of a person standing upright.
How to calculate Edge length of Great Dodecahedron given pyramid height?
Edge length of Great Dodecahedron given pyramid height formula is defined as a straight line connecting two vertices of Great Dodecahedron is calculated using side_a = (6*Height)/(sqrt(3)*(3-sqrt(5))). To calculate Edge length of Great Dodecahedron given pyramid height, you need Height (h). With our tool, you need to enter the respective value for Height 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 Height. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • side_a = (2*Length)/(sqrt(5)-1)
  • side_a = (4*Circumradius)/(sqrt(10+2*sqrt(5)))
  • side_a = (6*Height)/(sqrt(3)*(3-sqrt(5)))
  • side_a = sqrt(Surface Area/(15*(sqrt(5-2*sqrt(5)))))
  • side_a = ((4*Volume)/(5*(sqrt(5)-1)))^(1/3)
  • side_a = (15*(sqrt(5-2*sqrt(5))))/((5/4)*(sqrt(5)-1)*Surface to Volume Ratio)
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