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Edge length of Small Stellated Dodecahedron given ridge length Solution

STEP 0: Pre-Calculation Summary
Formula Used
length = (2*Ridge Length 1)/(1+sqrt(5))
L = (2*L1_Ridge)/(1+sqrt(5))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Ridge Length 1 - Ridge Length 1 is length of an elevated body part or structure. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Ridge Length 1: 7 Meter --> 7 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = (2*L1_Ridge)/(1+sqrt(5)) --> (2*7)/(1+sqrt(5))
Evaluating ... ...
L = 4.32623792124926
STEP 3: Convert Result to Output's Unit
4.32623792124926 Meter --> No Conversion Required
FINAL ANSWER
4.32623792124926 Meter <-- Length
(Calculation completed in 00.015 seconds)

7 Edge length of Small Stellated Dodecahedron Calculators

Edge length of Small Stellated Dodecahedron given surface to volume ratio
length = (15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*Surface to Volume Ratio) Go
Edge length of Small Stellated Dodecahedron given surface area
length = sqrt(Surface Area Polyhedron/(15*(sqrt(5+2*sqrt(5))))) Go
Edge length of Small Stellated Dodecahedron given circumradius
length = (4*Circumradius)/(sqrt(50+22*sqrt(5))) Go
Edge length of Small Stellated Dodecahedron given pyramid height
length = (5*Height)/(sqrt(25+10*sqrt(5))) Go
Edge length of Small Stellated Dodecahedron given volume
length = ((4*Volume)/(5*(7+3*sqrt(5))))^(1/3) Go
Edge length of Small Stellated Dodecahedron given ridge length
length = (2*Ridge Length 1)/(1+sqrt(5)) Go
Edge length of Small Stellated Dodecahedron given pentagram chord
length = Chord Length/(2+sqrt(5)) Go

Edge length of Small Stellated Dodecahedron given ridge length Formula

length = (2*Ridge Length 1)/(1+sqrt(5))
L = (2*L1_Ridge)/(1+sqrt(5))

What is Small Stellated Dodecahedron?

In geometry, the small stellated dodecahedron is a Kepler-Poinsot polyhedron, named by Arthur Cayley, and with Schläfli symbol {​⁵⁄₂,5}. It is one of four nonconvex regular polyhedra. It is composed of 12 pentagrammic faces, with five pentagrams meeting at each vertex.

How to Calculate Edge length of Small Stellated Dodecahedron given ridge length?

Edge length of Small Stellated Dodecahedron given ridge length calculator uses length = (2*Ridge Length 1)/(1+sqrt(5)) to calculate the Length, Edge length of Small Stellated Dodecahedron given ridge length formula is defined as a straight line connecting two vertices of Small Stellated Dodecahedron. Length and is denoted by L symbol.

How to calculate Edge length of Small Stellated Dodecahedron given ridge length using this online calculator? To use this online calculator for Edge length of Small Stellated Dodecahedron given ridge length, enter Ridge Length 1 (L1_Ridge) and hit the calculate button. Here is how the Edge length of Small Stellated Dodecahedron given ridge length calculation can be explained with given input values -> 4.326238 = (2*7)/(1+sqrt(5)).

FAQ

What is Edge length of Small Stellated Dodecahedron given ridge length?
Edge length of Small Stellated Dodecahedron given ridge length formula is defined as a straight line connecting two vertices of Small Stellated Dodecahedron and is represented as L = (2*L1_Ridge)/(1+sqrt(5)) or length = (2*Ridge Length 1)/(1+sqrt(5)). Ridge Length 1 is length of an elevated body part or structure.
How to calculate Edge length of Small Stellated Dodecahedron given ridge length?
Edge length of Small Stellated Dodecahedron given ridge length formula is defined as a straight line connecting two vertices of Small Stellated Dodecahedron is calculated using length = (2*Ridge Length 1)/(1+sqrt(5)). To calculate Edge length of Small Stellated Dodecahedron given ridge length, you need Ridge Length 1 (L1_Ridge). With our tool, you need to enter the respective value for Ridge Length 1 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?
In this formula, Length uses Ridge Length 1. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • length = (2*Ridge Length 1)/(1+sqrt(5))
  • length = Chord Length/(2+sqrt(5))
  • length = (4*Circumradius)/(sqrt(50+22*sqrt(5)))
  • length = (5*Height)/(sqrt(25+10*sqrt(5)))
  • length = sqrt(Surface Area Polyhedron/(15*(sqrt(5+2*sqrt(5)))))
  • length = ((4*Volume)/(5*(7+3*sqrt(5))))^(1/3)
  • length = (15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*Surface to Volume Ratio)
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