Ridge Length of Great Dodecahedron Calculator

✖Edge Length of Great Dodecahedron is the distance between any pair of adjacent peak vertices of the Great Dodecahedron.ⓘ Edge Length of Great Dodecahedron [l_e]

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

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Ridge Length of Great Dodecahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ridge Length of Great Dodecahedron = (sqrt(5)-1)/2*Edge Length of Great Dodecahedron
l_Ridge = (sqrt(5)-1)/2*l_e
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 Great Dodecahedron - (Measured in Meter) - Ridge Length of Great Dodecahedron is the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Dodecahedron.
Edge Length of Great Dodecahedron - (Measured in Meter) - Edge Length of Great Dodecahedron is the distance between any pair of adjacent peak vertices of the Great Dodecahedron.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Great Dodecahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Ridge = (sqrt(5)-1)/2*l_e --> (sqrt(5)-1)/2*10

Evaluating ... ...

l_Ridge = 6.18033988749895

STEP 3: Convert Result to Output's Unit

6.18033988749895 Meter --> No Conversion Required

FINAL ANSWER

6.18033988749895 ≈ 6.18034 Meter <-- Ridge Length of Great Dodecahedron

(Calculation completed in 00.013 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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< Ridge Length of Great Dodecahedron Calculators

Ridge Length of Great Dodecahedron given Total Surface Area

LaTeX Go Ridge Length of Great Dodecahedron = (sqrt(5)-1)/2*sqrt(Total Surface Area of Great Dodecahedron/(15*sqrt(5-(2*sqrt(5)))))

Ridge Length of Great Dodecahedron given Circumsphere Radius

LaTeX Go Ridge Length of Great Dodecahedron = (sqrt(5)-1)/2*(4*Circumsphere Radius of Great Dodecahedron)/(sqrt(10+(2*sqrt(5))))

Ridge Length of Great Dodecahedron given Pyramidal Height

LaTeX Go Ridge Length of Great Dodecahedron = (sqrt(5)-1)/2*(6*Pyramidal Height of Great Dodecahedron)/(sqrt(3)*(3-sqrt(5)))

Ridge Length of Great Dodecahedron

LaTeX Go Ridge Length of Great Dodecahedron = (sqrt(5)-1)/2*Edge Length of Great Dodecahedron

Ridge Length of Great Dodecahedron Formula

LaTeX Go

Ridge Length of Great Dodecahedron = (sqrt(5)-1)/2*Edge Length of Great Dodecahedron
l_Ridge = (sqrt(5)-1)/2*l_e

What is Great Dodecahedron?

The Great Dodecahedron is one of four nonconvex regular polyhedra. It is composed of 12 pentagonal faces, with five pentagons meeting at each vertex, intersecting each other making a pentagrammic path.

How to Calculate Ridge Length of Great Dodecahedron?

Ridge Length of Great Dodecahedron calculator uses Ridge Length of Great Dodecahedron = (sqrt(5)-1)/2*Edge Length of Great Dodecahedron to calculate the Ridge Length of Great Dodecahedron, Ridge Length of Great Dodecahedron formula is defined as the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Dodecahedron. Ridge Length of Great Dodecahedron is denoted by l_Ridge symbol.

How to calculate Ridge Length of Great Dodecahedron using this online calculator? To use this online calculator for Ridge Length of Great Dodecahedron, enter Edge Length of Great Dodecahedron (l_e) and hit the calculate button. Here is how the Ridge Length of Great Dodecahedron calculation can be explained with given input values -> 6.18034 = (sqrt(5)-1)/2*10.

FAQ

What is Ridge Length of Great Dodecahedron?

Ridge Length of Great Dodecahedron formula is defined as the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Dodecahedron and is represented as l_Ridge = (sqrt(5)-1)/2*l_e or Ridge Length of Great Dodecahedron = (sqrt(5)-1)/2*Edge Length of Great Dodecahedron. Edge Length of Great Dodecahedron is the distance between any pair of adjacent peak vertices of the Great Dodecahedron.

How to calculate Ridge Length of Great Dodecahedron?

Ridge Length of Great Dodecahedron formula is defined as the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Dodecahedron is calculated using Ridge Length of Great Dodecahedron = (sqrt(5)-1)/2*Edge Length of Great Dodecahedron. To calculate Ridge Length of Great Dodecahedron, you need Edge Length of Great Dodecahedron (l_e). With our tool, you need to enter the respective value for Edge Length of Great 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 Great Dodecahedron?

In this formula, Ridge Length of Great Dodecahedron uses Edge Length of Great Dodecahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Ridge Length of Great Dodecahedron = (sqrt(5)-1)/2*(4*Circumsphere Radius of Great Dodecahedron)/(sqrt(10+(2*sqrt(5))))
Ridge Length of Great Dodecahedron = (sqrt(5)-1)/2*(6*Pyramidal Height of Great Dodecahedron)/(sqrt(3)*(3-sqrt(5)))
Ridge Length of Great Dodecahedron = (sqrt(5)-1)/2*sqrt(Total Surface Area of Great Dodecahedron/(15*sqrt(5-(2*sqrt(5)))))

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