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Edge Length of Great Stellated Dodecahedron given Pyramidal Height Formula

GoEdge Length of Great Stellated Dodecahedron given Ridge Length Formula

GoEdge Length of Great Stellated Dodecahedron given Pentagram Chord Formula

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Edge Length of Great Stellated Dodecahedron is the distance between any pair of adjacent peak vertices of the Great Stellated Dodecahedron. Check FAQs

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

l_e - Edge Length of Great Stellated Dodecahedron?h_Pyramid - Pyramidal Height of Great Stellated Dodecahedron?

Edge Length of Great Stellated Dodecahedron given Pyramidal Height Example

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

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

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

9.9238 = \frac{6 \cdot 15}{\sqrt{3} \cdot (3 + \sqrt{5})}

9.9238m = \frac{6 \cdot 15m}{\sqrt{3} \cdot (3 + \sqrt{5})}

9.9238 = \frac{6 \cdot 15}{\sqrt{3} \cdot (3 + \sqrt{5})}

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Edge Length of Great Stellated Dodecahedron given Pyramidal Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

l e = \frac{6 \cdot 15}{\sqrt{3} \cdot (3 + \sqrt{5})}

Next Step Evaluate

∴

l e = 9.92376807374411m

LAST Step Rounding Answer

∴

l e = 9.9238m

Edge Length of Great Stellated Dodecahedron given Pyramidal Height Formula Elements

Variables

Functions

Edge Length of Great Stellated Dodecahedron

Edge Length of Great Stellated Dodecahedron is the distance between any pair of adjacent peak vertices of the Great Stellated Dodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge 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 Edge Length of Great Stellated Dodecahedron

Go Edge Length of Great Stellated Dodecahedron given Ridge Length

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

Go Edge Length of Great Stellated Dodecahedron given Pentagram Chord

l e = \frac{l c(Pentagram)}{2 + \sqrt{5}}

Go Edge Length of Great Stellated Dodecahedron given Circumradius

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

Go Edge Length of Great Stellated Dodecahedron given Total Surface Area

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

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

Edge Length of Great Stellated Dodecahedron given Pyramidal Height evaluator uses Edge Length of Great Stellated Dodecahedron = (6*Pyramidal Height of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5))) to evaluate the Edge Length of Great Stellated Dodecahedron, Edge Length of Great Stellated Dodecahedron given Pyramidal Height formula is defined as the distance between any pair of adjacent peak vertices of the Great Stellated Dodecahedron, calculated using its pyramidal height. Edge Length of Great Stellated Dodecahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Great Stellated Dodecahedron given Pyramidal Height

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

The formula of Edge Length of Great Stellated Dodecahedron given Pyramidal Height is expressed as Edge Length of Great Stellated Dodecahedron = (6*Pyramidal Height of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5))). Here is an example- 9.923768 = (6*15)/(sqrt(3)*(3+sqrt(5))).

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

With Pyramidal Height of Great Stellated Dodecahedron (h_Pyramid) we can find Edge Length of Great Stellated Dodecahedron given Pyramidal Height using the formula - Edge Length of Great Stellated Dodecahedron = (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 Edge Length of Great Stellated Dodecahedron?

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

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

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

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

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

Edge 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 Edge Length of Great Stellated Dodecahedron given Pyramidal Height can be measured.

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