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Ridge Length of Great Stellated Dodecahedron given Pyramidal Height Formula

GoRidge Length of Great Stellated Dodecahedron Formula

GoRidge Length of Great Stellated Dodecahedron given Pentagram Chord Formula

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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. Check FAQs

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

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

Ridge Length of Great Stellated Dodecahedron given Pyramidal Height Example

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

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

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

16.057 = \frac{1 + \sqrt{5}}{2} \cdot \frac{6 \cdot 15}{\sqrt{3} \cdot (3 + \sqrt{5})}

16.057m = \frac{1 + \sqrt{5}}{2} \cdot \frac{6 \cdot 15m}{\sqrt{3} \cdot (3 + \sqrt{5})}

16.057 = \frac{1 + \sqrt{5}}{2} \cdot \frac{6 \cdot 15}{\sqrt{3} \cdot (3 + \sqrt{5})}

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Ridge Length of Great Stellated Dodecahedron given Pyramidal Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l Ridge = \frac{1 + \sqrt{5}}{2} \cdot \frac{6 \cdot 15m}{\sqrt{3} \cdot (3 + \sqrt{5})}

Next Step Prepare to Evaluate

∴

l Ridge = \frac{1 + \sqrt{5}}{2} \cdot \frac{6 \cdot 15}{\sqrt{3} \cdot (3 + \sqrt{5})}

Next Step Evaluate

∴

l Ridge = 16.056994039789m

LAST Step Rounding Answer

∴

l Ridge = 16.057m

Ridge Length of Great Stellated Dodecahedron given Pyramidal Height Formula Elements

Variables

Functions

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

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

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 Ridge Length of Great Stellated Dodecahedron

Go Ridge Length of Great Stellated Dodecahedron

l Ridge = \frac{1 + \sqrt{5}}{2} \cdot l e

Go Ridge Length of Great Stellated Dodecahedron given Pentagram Chord

l Ridge = \frac{1 + \sqrt{5}}{2} \cdot \frac{l c(Pentagram)}{2 + \sqrt{5}}

Go Ridge Length of Great Stellated Dodecahedron given Circumradius

l Ridge = \frac{1 + \sqrt{5}}{2} \cdot \frac{4 \cdot r c}{\sqrt{3} \cdot (3 + \sqrt{5})}

Go Ridge Length of Great Stellated Dodecahedron given Total Surface Area

l Ridge = \frac{1 + \sqrt{5}}{2} \cdot \sqrt{\frac{TSA}{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

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

Ridge Length of Great Stellated Dodecahedron given Pyramidal Height evaluator uses Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*(6*Pyramidal Height of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5))) to evaluate the Ridge Length of Great Stellated Dodecahedron, Ridge Length of Great Stellated Dodecahedron given Pyramidal Height formula is defined as the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Stellated Dodecahedron, calculated using its pyramidal height. Ridge Length of Great Stellated Dodecahedron is denoted by l_Ridge symbol.

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

FAQs on Ridge Length of Great Stellated Dodecahedron given Pyramidal Height

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

The formula of Ridge Length of Great Stellated Dodecahedron given Pyramidal Height is expressed as Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*(6*Pyramidal Height of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5))). Here is an example- 16.05699 = (1+sqrt(5))/2*(6*15)/(sqrt(3)*(3+sqrt(5))).

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

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

What are the other ways to Calculate Ridge Length of Great Stellated Dodecahedron?

Here are the different ways to Calculate Ridge Length of Great Stellated Dodecahedron-

Ridge Length of Great Stellated Dodecahedron=(1+sqrt(5))/2*Edge Length of Great Stellated Dodecahedron
Ridge Length of Great Stellated Dodecahedron=(1+sqrt(5))/2*Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5))
Ridge Length of Great Stellated Dodecahedron=(1+sqrt(5))/2*(4*Circumradius of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))

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

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

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

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

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