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Edge length of Small Stellated Dodecahedron given surface to volume ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
length = (15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*Surface to Volume Ratio)
L = (15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*RAV)
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Surface to Volume Ratio - Surface to Volume Ratio is fraction of surface to volume. (Measured in Hundred)
STEP 1: Convert Input(s) to Base Unit
Surface to Volume Ratio: 0.5 Hundred --> 0.5 Hundred No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = (15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*RAV) --> (15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*0.5)
Evaluating ... ...
L = 5.38833571895502
STEP 3: Convert Result to Output's Unit
5.38833571895502 Meter --> No Conversion Required
FINAL ANSWER
5.38833571895502 Meter <-- Length
(Calculation completed in 00.000 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 surface to volume ratio Formula

length = (15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*Surface to Volume Ratio)
L = (15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*RAV)

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 surface to volume ratio?

Edge length of Small Stellated Dodecahedron given surface to volume ratio calculator uses length = (15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*Surface to Volume Ratio) to calculate the Length, Edge length of Small Stellated Dodecahedron given surface to volume ratio 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 surface to volume ratio using this online calculator? To use this online calculator for Edge length of Small Stellated Dodecahedron given surface to volume ratio, enter Surface to Volume Ratio (RAV) and hit the calculate button. Here is how the Edge length of Small Stellated Dodecahedron given surface to volume ratio calculation can be explained with given input values -> 5.388336 = (15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*0.5).

FAQ

What is Edge length of Small Stellated Dodecahedron given surface to volume ratio?
Edge length of Small Stellated Dodecahedron given surface to volume ratio formula is defined as a straight line connecting two vertices of Small Stellated Dodecahedron and is represented as L = (15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*RAV) or length = (15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*Surface to Volume Ratio). Surface to Volume Ratio is fraction of surface to volume.
How to calculate Edge length of Small Stellated Dodecahedron given surface to volume ratio?
Edge length of Small Stellated Dodecahedron given surface to volume ratio formula is defined as a straight line connecting two vertices of Small Stellated Dodecahedron is calculated using length = (15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*Surface to Volume Ratio). To calculate Edge length of Small Stellated Dodecahedron given surface to volume ratio, you need Surface to Volume Ratio (RAV). With our tool, you need to enter the respective value for Surface to Volume Ratio 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 Surface to Volume Ratio. 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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