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Pyramidal Height of Small Stellated Dodecahedron given Ridge Length Formula

GoPyramidal Height of Small Stellated Dodecahedron Formula

GoPyramidal Height of Small Stellated Dodecahedron given Pentagram Chord Formula

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Pyramidal Height of Small Stellated Dodecahedron is the height of any of the inwards directed tetrahedral pyramids of the Small Stellated Dodecahedron. Check FAQs

h Pyramid = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\frac{2 \cdot l Ridge}{1 + \sqrt{5}})

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

Pyramidal Height of Small Stellated Dodecahedron given Ridge Length Example

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

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

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

13.6104 = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\frac{2 \cdot 16}{1 + \sqrt{5}})

13.6104m = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\frac{2 \cdot 16m}{1 + \sqrt{5}})

13.6104 = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\frac{2 \cdot 16}{1 + \sqrt{5}})

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Pyramidal Height of Small Stellated Dodecahedron given Ridge Length Solution

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

FIRST Step Consider the formula

h Pyramid = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\frac{2 \cdot l Ridge}{1 + \sqrt{5}})

Next Step Substitute values of Variables

∴

h Pyramid = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\frac{2 \cdot 16m}{1 + \sqrt{5}})

Next Step Prepare to Evaluate

∴

h Pyramid = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\frac{2 \cdot 16}{1 + \sqrt{5}})

Next Step Evaluate

∴

h Pyramid = 13.6104129336326m

LAST Step Rounding Answer

∴

h Pyramid = 13.6104m

Pyramidal Height of Small Stellated Dodecahedron given Ridge Length Formula Elements

Variables

Functions

Pyramidal Height of Small Stellated Dodecahedron

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

Symbol: h_Pyramid

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pyramidal Height of Small Stellated Dodecahedron

Ridge Length of Small Stellated Dodecahedron

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.

Symbol: l_Ridge

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Ridge Length of Small 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 Small Stellated Dodecahedron

Go Pyramidal Height of Small Stellated Dodecahedron

h Pyramid = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot l e

Go Pyramidal Height of Small Stellated Dodecahedron given Pentagram Chord

h Pyramid = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\frac{l c(Pentagram)}{2 + \sqrt{5}})

Go Pyramidal Height of Small Stellated Dodecahedron given Circumradius

h Pyramid = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\frac{4 \cdot r c}{\sqrt{50 + 22 \cdot \sqrt{5}}})

Go Pyramidal Height of Small Stellated Dodecahedron given Total Surface Area

h Pyramid = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\sqrt{\frac{TSA}{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}})

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

Pyramidal Height of Small Stellated Dodecahedron given Ridge Length evaluator uses Pyramidal Height of Small Stellated Dodecahedron = ((sqrt(25+10*sqrt(5)))/5)*((2*Ridge Length of Small Stellated Dodecahedron)/(1+sqrt(5))) to evaluate the Pyramidal Height of Small Stellated Dodecahedron, Pyramidal Height of Small Stellated Dodecahedron given Ridge Length formula is defined as the height of any of the inwards directed tetrahedral pyramids of the Small Stellated Dodecahedron, calculated using its ridge length. Pyramidal Height of Small Stellated Dodecahedron is denoted by h_Pyramid symbol.

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

FAQs on Pyramidal Height of Small Stellated Dodecahedron given Ridge Length

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

The formula of Pyramidal Height of Small Stellated Dodecahedron given Ridge Length is expressed as Pyramidal Height of Small Stellated Dodecahedron = ((sqrt(25+10*sqrt(5)))/5)*((2*Ridge Length of Small Stellated Dodecahedron)/(1+sqrt(5))). Here is an example- 13.61041 = ((sqrt(25+10*sqrt(5)))/5)*((2*16)/(1+sqrt(5))).

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

With Ridge Length of Small Stellated Dodecahedron (l_Ridge) we can find Pyramidal Height of Small Stellated Dodecahedron given Ridge Length using the formula - Pyramidal Height of Small Stellated Dodecahedron = ((sqrt(25+10*sqrt(5)))/5)*((2*Ridge Length of Small Stellated Dodecahedron)/(1+sqrt(5))). This formula also uses Square Root (sqrt) function(s).

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

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

Pyramidal Height of Small Stellated Dodecahedron=((sqrt(25+10*sqrt(5)))/5)*Edge Length of Small Stellated Dodecahedron
Pyramidal Height of Small Stellated Dodecahedron=((sqrt(25+10*sqrt(5)))/5)*(Pentagram Chord of Small Stellated Dodecahedron/(2+sqrt(5)))
Pyramidal Height of Small Stellated Dodecahedron=((sqrt(25+10*sqrt(5)))/5)*((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5))))

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

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

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

Pyramidal Height of Small 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 Small Stellated Dodecahedron given Ridge Length can be measured.

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