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Pyramidal Height of Great Stellated Dodecahedron given Ridge Length Formula

GoPyramidal Height of Great Stellated Dodecahedron Formula

GoPyramidal Height of Great Stellated Dodecahedron given Pentagram Chord Formula

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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. Check FAQs

h Pyramid = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{6} \cdot \frac{2 \cdot l Ridge}{1 + \sqrt{5}}

h_Pyramid - Pyramidal Height of Great Stellated Dodecahedron?l_Ridge - Ridge Length of Great Stellated Dodecahedron?

Pyramidal Height of Great Stellated Dodecahedron given Ridge Length Example

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Here is how the Pyramidal Height of Great Stellated Dodecahedron given Ridge Length equation looks like with Values.

Here is how the Pyramidal Height of Great Stellated Dodecahedron given Ridge Length equation looks like with Units.

Here is how the Pyramidal Height of Great Stellated Dodecahedron given Ridge Length equation looks like.

14.9468 = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{6} \cdot \frac{2 \cdot 16}{1 + \sqrt{5}}

14.9468m = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{6} \cdot \frac{2 \cdot 16m}{1 + \sqrt{5}}

14.9468 = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{6} \cdot \frac{2 \cdot 16}{1 + \sqrt{5}}

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Pyramidal Height of Great Stellated Dodecahedron given Ridge Length Solution

Follow our step by step solution on how to calculate Pyramidal Height of Great Stellated Dodecahedron given Ridge Length?

FIRST Step Consider the formula

h Pyramid = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{6} \cdot \frac{2 \cdot l Ridge}{1 + \sqrt{5}}

Next Step Substitute values of Variables

∴

h Pyramid = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{6} \cdot \frac{2 \cdot 16m}{1 + \sqrt{5}}

Next Step Prepare to Evaluate

∴

h Pyramid = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{6} \cdot \frac{2 \cdot 16}{1 + \sqrt{5}}

Next Step Evaluate

∴

h Pyramid = 14.9467577434034m

LAST Step Rounding Answer

∴

h Pyramid = 14.9468m

Pyramidal Height of Great Stellated Dodecahedron given Ridge Length Formula Elements

Variables

Functions

Pyramidal Height of Great Stellated Dodecahedron

Pyramidal Height of Great Stellated Dodecahedron is the height of any of the inwards directed tetrahedral pyramids of the Great Stellated Dodecahedron.

Symbol: h_Pyramid

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pyramidal Height of Great Stellated Dodecahedron

Ridge Length of Great Stellated Dodecahedron

Ridge Length of Great Stellated Dodecahedron is the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Stellated Dodecahedron.

Symbol: l_Ridge

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Ridge Length of Great Stellated Dodecahedron

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.

Syntax: sqrt(Number)

Other Formulas to find Pyramidal Height of Great Stellated Dodecahedron

Go Pyramidal Height of Great Stellated Dodecahedron

h Pyramid = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{6} \cdot l e

Go Pyramidal Height of Great Stellated Dodecahedron given Pentagram Chord

h Pyramid = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{6} \cdot \frac{l c(Pentagram)}{2 + \sqrt{5}}

Go Pyramidal Height of Great Stellated Dodecahedron given Total Surface Area

h Pyramid = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{6} \cdot \sqrt{\frac{TSA}{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

Go Pyramidal Height of Great Stellated Dodecahedron given Volume

h Pyramid = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{6} \cdot {(\frac{4 \cdot V}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

How to Evaluate Pyramidal Height of Great Stellated Dodecahedron given Ridge Length?

Pyramidal Height of Great Stellated Dodecahedron given Ridge Length evaluator uses Pyramidal Height of Great Stellated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/6*(2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5)) to evaluate the Pyramidal Height of Great Stellated Dodecahedron, Pyramidal Height of Great Stellated Dodecahedron given Ridge Length formula is defined as the height of any of the inwards directed tetrahedral pyramids of the Great Stellated Dodecahedron, calculated its ridge length. Pyramidal Height of Great Stellated Dodecahedron is denoted by h_Pyramid symbol.

How to evaluate Pyramidal Height of Great Stellated Dodecahedron given Ridge Length using this online evaluator? To use this online evaluator for Pyramidal Height of Great Stellated Dodecahedron given Ridge Length, enter Ridge Length of Great Stellated Dodecahedron (l_Ridge) and hit the calculate button.

FAQs on Pyramidal Height of Great Stellated Dodecahedron given Ridge Length

What is the formula to find Pyramidal Height of Great Stellated Dodecahedron given Ridge Length?

The formula of Pyramidal Height of Great Stellated Dodecahedron given Ridge Length is expressed as Pyramidal Height of Great Stellated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/6*(2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5)). Here is an example- 14.94676 = (sqrt(3)*(3+sqrt(5)))/6*(2*16)/(1+sqrt(5)).

How to calculate Pyramidal Height of Great Stellated Dodecahedron given Ridge Length?

With Ridge Length of Great Stellated Dodecahedron (l_Ridge) we can find Pyramidal Height of Great Stellated Dodecahedron given Ridge Length using the formula - Pyramidal Height of Great Stellated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/6*(2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Pyramidal Height of Great Stellated Dodecahedron?

Here are the different ways to Calculate Pyramidal Height of Great Stellated Dodecahedron-

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*Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5))
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)))))

Can the Pyramidal Height of Great Stellated Dodecahedron given Ridge Length be negative?

No, the Pyramidal Height of Great Stellated Dodecahedron given Ridge Length, measured in Length cannot be negative.

Which unit is used to measure Pyramidal Height of Great Stellated Dodecahedron given Ridge Length?

Pyramidal Height of Great Stellated Dodecahedron given Ridge Length is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Pyramidal Height of Great Stellated Dodecahedron given Ridge Length can be measured.

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