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Pyramidal Height of Small Stellated Dodecahedron given Pentagram Chord Formula

GoPyramidal Height of Small Stellated Dodecahedron Formula

GoPyramidal Height of Small Stellated Dodecahedron given Ridge Length 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{l c(Pentagram)}{2 + \sqrt{5}})

h_Pyramid - Pyramidal Height of Small Stellated Dodecahedron?l_c(Pentagram) - Pentagram Chord of Small Stellated Dodecahedron?

Pyramidal Height of Small Stellated Dodecahedron given Pentagram Chord Example

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

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

Here is how the Pyramidal Height of Small Stellated Dodecahedron given Pentagram Chord equation looks like.

13.6466 = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\frac{42}{2 + \sqrt{5}})

13.6466m = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\frac{42m}{2 + \sqrt{5}})

13.6466 = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\frac{42}{2 + \sqrt{5}})

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Pyramidal Height of Small Stellated Dodecahedron given Pentagram Chord Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h Pyramid = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\frac{42m}{2 + \sqrt{5}})

Next Step Prepare to Evaluate

∴

h Pyramid = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\frac{42}{2 + \sqrt{5}})

Next Step Evaluate

∴

h Pyramid = 13.6466272417821m

LAST Step Rounding Answer

∴

h Pyramid = 13.6466m

Pyramidal Height of Small Stellated Dodecahedron given Pentagram Chord 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

Pentagram Chord of Small Stellated Dodecahedron

Pentagram Chord of Small Stellated Dodecahedron is the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Small Stellated Dodecahedron.

Symbol: l_c(Pentagram)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pentagram Chord 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 Ridge Length

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

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

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

FAQs on Pyramidal Height of Small Stellated Dodecahedron given Pentagram Chord

What is the formula to find Pyramidal Height of Small Stellated Dodecahedron given Pentagram Chord?

The formula of Pyramidal Height of Small Stellated Dodecahedron given Pentagram Chord is expressed as Pyramidal Height of Small Stellated Dodecahedron = ((sqrt(25+10*sqrt(5)))/5)*(Pentagram Chord of Small Stellated Dodecahedron/(2+sqrt(5))). Here is an example- 13.64663 = ((sqrt(25+10*sqrt(5)))/5)*(42/(2+sqrt(5))).

How to calculate Pyramidal Height of Small Stellated Dodecahedron given Pentagram Chord?

With Pentagram Chord of Small Stellated Dodecahedron (l_c(Pentagram)) we can find Pyramidal Height of Small Stellated Dodecahedron given Pentagram Chord using the formula - Pyramidal Height of Small Stellated Dodecahedron = ((sqrt(25+10*sqrt(5)))/5)*(Pentagram Chord of Small Stellated Dodecahedron/(2+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)*((2*Ridge Length of Small Stellated Dodecahedron)/(1+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 Pentagram Chord be negative?

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

Which unit is used to measure Pyramidal Height of Small Stellated Dodecahedron given Pentagram Chord?

Pyramidal Height of Small Stellated Dodecahedron given Pentagram Chord 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 Pentagram Chord can be measured.

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