Ridge Length of Small Stellated Dodecahedron given Volume Calculator

✖Volume of Small Stellated Dodecahedron is the total quantity of three-dimensional space enclosed by the surface of the Small Stellated Dodecahedron.ⓘ Volume of Small Stellated Dodecahedron [V]

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✖Ridge Length of Small Stellated Dodecahedron is the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Small Stellated Dodecahedron.ⓘ Ridge Length of Small Stellated Dodecahedron given Volume [l_Ridge]

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Formula

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Ridge Length of Small Stellated Dodecahedron given Volume

Formula

`"l"_{"Ridge"} = ((1+sqrt(5))/2)*(((4*"V")/(5*(7+3*sqrt(5))))^(1/3))`

Example

`"16.13765m"=((1+sqrt(5))/2)*(((4*"17000m³")/(5*(7+3*sqrt(5))))^(1/3))`

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Ridge Length of Small Stellated Dodecahedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ridge Length of Small Stellated Dodecahedron = ((1+sqrt(5))/2)*(((4*Volume of Small Stellated Dodecahedron)/(5*(7+3*sqrt(5))))^(1/3))
l_Ridge = ((1+sqrt(5))/2)*(((4*V)/(5*(7+3*sqrt(5))))^(1/3))
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Ridge Length of Small Stellated Dodecahedron - (Measured in Meter) - Ridge Length of Small Stellated Dodecahedron is the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Small Stellated Dodecahedron.
Volume of Small Stellated Dodecahedron - (Measured in Cubic Meter) - Volume of Small Stellated Dodecahedron is the total quantity of three-dimensional space enclosed by the surface of the Small Stellated Dodecahedron.

STEP 1: Convert Input(s) to Base Unit

Volume of Small Stellated Dodecahedron: 17000 Cubic Meter --> 17000 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Ridge = ((1+sqrt(5))/2)*(((4*V)/(5*(7+3*sqrt(5))))^(1/3)) --> ((1+sqrt(5))/2)*(((4*17000)/(5*(7+3*sqrt(5))))^(1/3))

Evaluating ... ...

l_Ridge = 16.1376549077599

STEP 3: Convert Result to Output's Unit

16.1376549077599 Meter --> No Conversion Required

FINAL ANSWER

16.1376549077599 ≈ 16.13765 Meter <-- Ridge Length of Small Stellated Dodecahedron

(Calculation completed in 00.004 seconds)

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Home » Math » Geometry » 3D Geometry » Small Stellated Dodecahedron » Length of Small Stellated Dodecahedron » Ridge Length of Small Stellated Dodecahedron » Ridge Length of Small Stellated Dodecahedron given Volume

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< 7 Ridge Length of Small Stellated Dodecahedron Calculators

Ridge Length of Small Stellated Dodecahedron given Surface to Volume Ratio

Go Ridge Length of Small Stellated Dodecahedron = ((1+sqrt(5))/2)*((15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*SA:V of Small Stellated Dodecahedron))

Ridge Length of Small Stellated Dodecahedron given Total Surface Area

Go Ridge Length of Small Stellated Dodecahedron = ((1+sqrt(5))/2)*(sqrt(Total Surface Area of Small Stellated Dodecahedron/(15*(sqrt(5+2*sqrt(5))))))

Ridge Length of Small Stellated Dodecahedron given Pyramidal Height

Go Ridge Length of Small Stellated Dodecahedron = ((1+sqrt(5))/2)*((5*Pyramidal Height of Small Stellated Dodecahedron)/(sqrt(25+10*sqrt(5))))

Ridge Length of Small Stellated Dodecahedron given Circumradius

Go Ridge Length of Small Stellated Dodecahedron = ((1+sqrt(5))/2)*((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5))))

Ridge Length of Small Stellated Dodecahedron given Volume

Go Ridge Length of Small Stellated Dodecahedron = ((1+sqrt(5))/2)*(((4*Volume of Small Stellated Dodecahedron)/(5*(7+3*sqrt(5))))^(1/3))

Ridge Length of Small Stellated Dodecahedron given Pentagram Chord

Go Ridge Length of Small Stellated Dodecahedron = ((1+sqrt(5))/2)*(Pentagram Chord of Small Stellated Dodecahedron/(2+sqrt(5)))

Ridge Length of Small Stellated Dodecahedron

Go Ridge Length of Small Stellated Dodecahedron = ((1+sqrt(5))/2)*Edge Length of Small Stellated Dodecahedron

Ridge Length of Small Stellated Dodecahedron given Volume Formula

Ridge Length of Small Stellated Dodecahedron = ((1+sqrt(5))/2)*(((4*Volume of Small Stellated Dodecahedron)/(5*(7+3*sqrt(5))))^(1/3))
l_Ridge = ((1+sqrt(5))/2)*(((4*V)/(5*(7+3*sqrt(5))))^(1/3))

What is Small Stellated Dodecahedron?

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 Ridge Length of Small Stellated Dodecahedron given Volume?

Ridge Length of Small Stellated Dodecahedron given Volume calculator uses Ridge Length of Small Stellated Dodecahedron = ((1+sqrt(5))/2)*(((4*Volume of Small Stellated Dodecahedron)/(5*(7+3*sqrt(5))))^(1/3)) to calculate the Ridge Length of Small Stellated Dodecahedron, Ridge Length of Small Stellated Dodecahedron given Volume formula is defined as the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Small Stellated Dodecahedron, calculated using its volume. Ridge Length of Small Stellated Dodecahedron is denoted by l_Ridge symbol.

How to calculate Ridge Length of Small Stellated Dodecahedron given Volume using this online calculator? To use this online calculator for Ridge Length of Small Stellated Dodecahedron given Volume, enter Volume of Small Stellated Dodecahedron (V) and hit the calculate button. Here is how the Ridge Length of Small Stellated Dodecahedron given Volume calculation can be explained with given input values -> 16.13765 = ((1+sqrt(5))/2)*(((4*17000)/(5*(7+3*sqrt(5))))^(1/3)).

FAQ

What is Ridge Length of Small Stellated Dodecahedron given Volume?

Ridge Length of Small Stellated Dodecahedron given Volume formula is defined as the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Small Stellated Dodecahedron, calculated using its volume and is represented as l_Ridge = ((1+sqrt(5))/2)*(((4*V)/(5*(7+3*sqrt(5))))^(1/3)) or Ridge Length of Small Stellated Dodecahedron = ((1+sqrt(5))/2)*(((4*Volume of Small Stellated Dodecahedron)/(5*(7+3*sqrt(5))))^(1/3)). Volume of Small Stellated Dodecahedron is the total quantity of three-dimensional space enclosed by the surface of the Small Stellated Dodecahedron.

How to calculate Ridge Length of Small Stellated Dodecahedron given Volume?

Ridge Length of Small Stellated Dodecahedron given Volume formula is defined as the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Small Stellated Dodecahedron, calculated using its volume is calculated using Ridge Length of Small Stellated Dodecahedron = ((1+sqrt(5))/2)*(((4*Volume of Small Stellated Dodecahedron)/(5*(7+3*sqrt(5))))^(1/3)). To calculate Ridge Length of Small Stellated Dodecahedron given Volume, you need Volume of Small Stellated Dodecahedron (V). With our tool, you need to enter the respective value for Volume of Small Stellated Dodecahedron 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 Ridge Length of Small Stellated Dodecahedron?

In this formula, Ridge Length of Small Stellated Dodecahedron uses Volume of Small Stellated Dodecahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -

Ridge Length of Small Stellated Dodecahedron = ((1+sqrt(5))/2)*Edge Length of Small Stellated Dodecahedron
Ridge Length of Small Stellated Dodecahedron = ((1+sqrt(5))/2)*(Pentagram Chord of Small Stellated Dodecahedron/(2+sqrt(5)))
Ridge Length of Small Stellated Dodecahedron = ((1+sqrt(5))/2)*((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5))))
Ridge Length of Small Stellated Dodecahedron = ((1+sqrt(5))/2)*((5*Pyramidal Height of Small Stellated Dodecahedron)/(sqrt(25+10*sqrt(5))))
Ridge Length of Small Stellated Dodecahedron = ((1+sqrt(5))/2)*(sqrt(Total Surface Area of Small Stellated Dodecahedron/(15*(sqrt(5+2*sqrt(5))))))
Ridge Length of Small Stellated Dodecahedron = ((1+sqrt(5))/2)*((15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*SA:V of Small Stellated Dodecahedron))

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