Pyramidal Height of Great Stellated Dodecahedron given Circumradius Calculator

✖Circumradius of Great Stellated Dodecahedron is the radius of sphere that contains Great Stellated Dodecahedron in such a way that all vertices are lying on the sphere.ⓘ Circumradius of Great Stellated Dodecahedron [r_c]

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

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Pyramidal Height of Great Stellated Dodecahedron given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pyramidal Height of Great Stellated Dodecahedron = (2*Circumradius of Great Stellated Dodecahedron)/3
h_Pyramid = (2*r_c)/3
This formula uses 2 Variables

Variables Used

Pyramidal Height of Great Stellated Dodecahedron - (Measured in Meter) - Pyramidal Height of Great Stellated Dodecahedron is the height of any of the inwards directed tetrahedral pyramids of the Great Stellated Dodecahedron.
Circumradius of Great Stellated Dodecahedron - (Measured in Meter) - Circumradius of Great Stellated Dodecahedron is the radius of sphere that contains Great Stellated Dodecahedron in such a way that all vertices are lying on the sphere.

STEP 1: Convert Input(s) to Base Unit

Circumradius of Great Stellated Dodecahedron: 23 Meter --> 23 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_Pyramid = (2*r_c)/3 --> (2*23)/3

Evaluating ... ...

h_Pyramid = 15.3333333333333

STEP 3: Convert Result to Output's Unit

15.3333333333333 Meter --> No Conversion Required

FINAL ANSWER

15.3333333333333 ≈ 15.33333 Meter <-- Pyramidal Height of Great Stellated Dodecahedron

(Calculation completed in 00.004 seconds)

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< Pyramidal Height of Great Stellated Dodecahedron Calculators

Pyramidal Height of Great Stellated Dodecahedron given Total Surface Area

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

Pyramidal Height of Great Stellated Dodecahedron given Ridge Length

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

Pyramidal Height of Great Stellated Dodecahedron given Pentagram Chord

LaTeX Go Pyramidal Height of Great Stellated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/6*Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5))

Pyramidal Height of Great Stellated Dodecahedron

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

Pyramidal Height of Great Stellated Dodecahedron given Circumradius Formula

LaTeX Go

Pyramidal Height of Great Stellated Dodecahedron = (2*Circumradius of Great Stellated Dodecahedron)/3
h_Pyramid = (2*r_c)/3

What is Great Stellated Dodecahedron?

The Great Stellated Dodecahedron is a Kepler-Poinsot polyhedron, with Schläfli symbol {⁵⁄₂,3}. It is one of four nonconvex regular polyhedra. It is composed of 12 intersecting pentagrammic faces, with three pentagrams meeting at each vertex.

How to Calculate Pyramidal Height of Great Stellated Dodecahedron given Circumradius?

Pyramidal Height of Great Stellated Dodecahedron given Circumradius calculator uses Pyramidal Height of Great Stellated Dodecahedron = (2*Circumradius of Great Stellated Dodecahedron)/3 to calculate the Pyramidal Height of Great Stellated Dodecahedron, Pyramidal Height of Great Stellated Dodecahedron given Circumradius formula is defined as the the height of any of the inwards directed tetrahedral pyramids of the Great Stellated Dodecahedron, calculated using its circumradius. Pyramidal Height of Great Stellated Dodecahedron is denoted by h_Pyramid symbol.

How to calculate Pyramidal Height of Great Stellated Dodecahedron given Circumradius using this online calculator? To use this online calculator for Pyramidal Height of Great Stellated Dodecahedron given Circumradius, enter Circumradius of Great Stellated Dodecahedron (r_c) and hit the calculate button. Here is how the Pyramidal Height of Great Stellated Dodecahedron given Circumradius calculation can be explained with given input values -> 15.33333 = (2*23)/3.

FAQ

What is Pyramidal Height of Great Stellated Dodecahedron given Circumradius?

Pyramidal Height of Great Stellated Dodecahedron given Circumradius formula is defined as the the height of any of the inwards directed tetrahedral pyramids of the Great Stellated Dodecahedron, calculated using its circumradius and is represented as h_Pyramid = (2*r_c)/3 or Pyramidal Height of Great Stellated Dodecahedron = (2*Circumradius of Great Stellated Dodecahedron)/3. Circumradius of Great Stellated Dodecahedron is the radius of sphere that contains Great Stellated Dodecahedron in such a way that all vertices are lying on the sphere.

How to calculate Pyramidal Height of Great Stellated Dodecahedron given Circumradius?

Pyramidal Height of Great Stellated Dodecahedron given Circumradius formula is defined as the the height of any of the inwards directed tetrahedral pyramids of the Great Stellated Dodecahedron, calculated using its circumradius is calculated using Pyramidal Height of Great Stellated Dodecahedron = (2*Circumradius of Great Stellated Dodecahedron)/3. To calculate Pyramidal Height of Great Stellated Dodecahedron given Circumradius, you need Circumradius of Great Stellated Dodecahedron (r_c). With our tool, you need to enter the respective value for Circumradius of Great 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 Pyramidal Height of Great Stellated Dodecahedron?

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

Pyramidal Height of Great Stellated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/6*Edge Length of Great Stellated Dodecahedron
Pyramidal Height of Great Stellated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/6*(2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5))
Pyramidal Height of Great Stellated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/6*Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5))

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