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Edge length of Small Stellated Dodecahedron given surface area Solution

STEP 0: Pre-Calculation Summary
Formula Used
length = sqrt(Surface Area Polyhedron/(15*(sqrt(5+2*sqrt(5)))))
L = sqrt(SAPolyhedron/(15*(sqrt(5+2*sqrt(5)))))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Surface Area Polyhedron - Surface Area Polyhedron is the area of an outer part or uppermost layer of polyhedron. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Surface Area Polyhedron: 1000 Square Meter --> 1000 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = sqrt(SAPolyhedron/(15*(sqrt(5+2*sqrt(5))))) --> sqrt(1000/(15*(sqrt(5+2*sqrt(5)))))
Evaluating ... ...
L = 4.65417157850823
STEP 3: Convert Result to Output's Unit
4.65417157850823 Meter --> No Conversion Required
FINAL ANSWER
4.65417157850823 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 area Formula

length = sqrt(Surface Area Polyhedron/(15*(sqrt(5+2*sqrt(5)))))
L = sqrt(SAPolyhedron/(15*(sqrt(5+2*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 surface area?

Edge length of Small Stellated Dodecahedron given surface area calculator uses length = sqrt(Surface Area Polyhedron/(15*(sqrt(5+2*sqrt(5))))) to calculate the Length, Edge length of Small Stellated Dodecahedron given surface area 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 area using this online calculator? To use this online calculator for Edge length of Small Stellated Dodecahedron given surface area, enter Surface Area Polyhedron (SAPolyhedron) and hit the calculate button. Here is how the Edge length of Small Stellated Dodecahedron given surface area calculation can be explained with given input values -> 4.654172 = sqrt(1000/(15*(sqrt(5+2*sqrt(5))))).

FAQ

What is Edge length of Small Stellated Dodecahedron given surface area?
Edge length of Small Stellated Dodecahedron given surface area formula is defined as a straight line connecting two vertices of Small Stellated Dodecahedron and is represented as L = sqrt(SAPolyhedron/(15*(sqrt(5+2*sqrt(5))))) or length = sqrt(Surface Area Polyhedron/(15*(sqrt(5+2*sqrt(5))))). Surface Area Polyhedron is the area of an outer part or uppermost layer of polyhedron.
How to calculate Edge length of Small Stellated Dodecahedron given surface area?
Edge length of Small Stellated Dodecahedron given surface area formula is defined as a straight line connecting two vertices of Small Stellated Dodecahedron is calculated using length = sqrt(Surface Area Polyhedron/(15*(sqrt(5+2*sqrt(5))))). To calculate Edge length of Small Stellated Dodecahedron given surface area, you need Surface Area Polyhedron (SAPolyhedron). With our tool, you need to enter the respective value for Surface Area Polyhedron 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 Area Polyhedron. 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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