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Edge length of Small Stellated Dodecahedron given pyramid height Solution

STEP 0: Pre-Calculation Summary
Formula Used
length = (5*Height)/(sqrt(25+10*sqrt(5)))
L = (5*h)/(sqrt(25+10*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
L = (5*h)/(sqrt(25+10*sqrt(5))) --> (5*12)/(sqrt(25+10*sqrt(5)))
Evaluating ... ...
L = 8.71851033606433
STEP 3: Convert Result to Output's Unit
8.71851033606433 Meter --> No Conversion Required
FINAL ANSWER
8.71851033606433 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 pyramid height Formula

length = (5*Height)/(sqrt(25+10*sqrt(5)))
L = (5*h)/(sqrt(25+10*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 pyramid height?

Edge length of Small Stellated Dodecahedron given pyramid height calculator uses length = (5*Height)/(sqrt(25+10*sqrt(5))) to calculate the Length, Edge length of Small Stellated Dodecahedron given pyramid height 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 pyramid height using this online calculator? To use this online calculator for Edge length of Small Stellated Dodecahedron given pyramid height, enter Height (h) and hit the calculate button. Here is how the Edge length of Small Stellated Dodecahedron given pyramid height calculation can be explained with given input values -> 8.71851 = (5*12)/(sqrt(25+10*sqrt(5))).

FAQ

What is Edge length of Small Stellated Dodecahedron given pyramid height?
Edge length of Small Stellated Dodecahedron given pyramid height formula is defined as a straight line connecting two vertices of Small Stellated Dodecahedron and is represented as L = (5*h)/(sqrt(25+10*sqrt(5))) or length = (5*Height)/(sqrt(25+10*sqrt(5))). Height is the distance between the lowest and highest points of a person standing upright.
How to calculate Edge length of Small Stellated Dodecahedron given pyramid height?
Edge length of Small Stellated Dodecahedron given pyramid height formula is defined as a straight line connecting two vertices of Small Stellated Dodecahedron is calculated using length = (5*Height)/(sqrt(25+10*sqrt(5))). To calculate Edge length of Small Stellated 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 Length?
In this formula, Length uses Height. 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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