Pyramidal Height 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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✖Pyramidal Height of Great Dodecahedron is the height of any of the inwards directed tetrahedral pyramids of the Great Dodecahedron.ⓘ Pyramidal Height of Great Dodecahedron [h_Pyramid]

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Pyramidal Height of Great Dodecahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pyramidal Height of Great Dodecahedron = (sqrt(3)*(3-sqrt(5)))/6*Edge Length of Great Dodecahedron
h_Pyramid = (sqrt(3)*(3-sqrt(5)))/6*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

Pyramidal Height of Great Dodecahedron - (Measured in Meter) - Pyramidal Height of Great Dodecahedron is the height of any of the inwards directed tetrahedral pyramids 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

h_Pyramid = (sqrt(3)*(3-sqrt(5)))/6*l_e --> (sqrt(3)*(3-sqrt(5)))/6*10

Evaluating ... ...

h_Pyramid = 2.20528179416536

STEP 3: Convert Result to Output's Unit

2.20528179416536 Meter --> No Conversion Required

FINAL ANSWER

2.20528179416536 ≈ 2.205282 Meter <-- Pyramidal Height of Great Dodecahedron

(Calculation completed in 00.020 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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< Pyramidal Height of Great Dodecahedron Calculators

Pyramidal Height of Great Dodecahedron given Total Surface Area

LaTeX Go Pyramidal Height of Great Dodecahedron = (sqrt(3)*(3-sqrt(5)))/6*sqrt(Total Surface Area of Great Dodecahedron/(15*sqrt(5-(2*sqrt(5)))))

Pyramidal Height of Great Dodecahedron given Circumsphere Radius

LaTeX Go Pyramidal Height of Great Dodecahedron = (sqrt(3)*(3-sqrt(5)))/6*(4*Circumsphere Radius of Great Dodecahedron)/sqrt(10+(2*sqrt(5)))

Pyramidal Height of Great Dodecahedron given Ridge Length

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

Pyramidal Height of Great Dodecahedron

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

Pyramidal Height of Great Dodecahedron Formula

LaTeX Go

Pyramidal Height of Great Dodecahedron = (sqrt(3)*(3-sqrt(5)))/6*Edge Length of Great Dodecahedron
h_Pyramid = (sqrt(3)*(3-sqrt(5)))/6*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 Pyramidal Height of Great Dodecahedron?

Pyramidal Height of Great Dodecahedron calculator uses Pyramidal Height of Great Dodecahedron = (sqrt(3)*(3-sqrt(5)))/6*Edge Length of Great Dodecahedron to calculate the Pyramidal Height of Great Dodecahedron, Pyramidal Height of Great Dodecahedron formula is defined as the height of any of the inwards-directed tetrahedral pyramids of the Great Dodecahedron. Pyramidal Height of Great Dodecahedron is denoted by h_Pyramid symbol.

How to calculate Pyramidal Height of Great Dodecahedron using this online calculator? To use this online calculator for Pyramidal Height of Great Dodecahedron, enter Edge Length of Great Dodecahedron (l_e) and hit the calculate button. Here is how the Pyramidal Height of Great Dodecahedron calculation can be explained with given input values -> 2.205282 = (sqrt(3)*(3-sqrt(5)))/6*10.

FAQ

What is Pyramidal Height of Great Dodecahedron?

Pyramidal Height of Great Dodecahedron formula is defined as the height of any of the inwards-directed tetrahedral pyramids of the Great Dodecahedron and is represented as h_Pyramid = (sqrt(3)*(3-sqrt(5)))/6*l_e or Pyramidal Height of Great Dodecahedron = (sqrt(3)*(3-sqrt(5)))/6*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 Pyramidal Height of Great Dodecahedron?

Pyramidal Height of Great Dodecahedron formula is defined as the height of any of the inwards-directed tetrahedral pyramids of the Great Dodecahedron is calculated using Pyramidal Height of Great Dodecahedron = (sqrt(3)*(3-sqrt(5)))/6*Edge Length of Great Dodecahedron. To calculate Pyramidal Height 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 Pyramidal Height of Great Dodecahedron?

In this formula, Pyramidal Height 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 -

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

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