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Edge Length of Great Dodecahedron given Pyramidal Height Formula

GoEdge Length of Great Dodecahedron given Ridge Length Formula

GoEdge Length of Great Dodecahedron given Circumsphere Radius Formula

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

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

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

Edge Length of Great Dodecahedron given Pyramidal Height Example

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

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

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

9.0691 = \frac{6 \cdot 2}{\sqrt{3} \cdot (3 - \sqrt{5})}

9.0691m = \frac{6 \cdot 2m}{\sqrt{3} \cdot (3 - \sqrt{5})}

9.0691 = \frac{6 \cdot 2}{\sqrt{3} \cdot (3 - \sqrt{5})}

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Edge Length of Great Dodecahedron given Pyramidal Height Solution

Follow our step by step solution on how to calculate Edge Length of Great 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 2m}{\sqrt{3} \cdot (3 - \sqrt{5})}

Next Step Prepare to Evaluate

∴

l e = \frac{6 \cdot 2}{\sqrt{3} \cdot (3 - \sqrt{5})}

Next Step Evaluate

∴

l e = 9.06913576891405m

LAST Step Rounding Answer

∴

l e = 9.0691m

Edge Length of Great Dodecahedron given Pyramidal Height Formula Elements

Variables

Functions

Edge Length of Great Dodecahedron

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

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Great Dodecahedron

Pyramidal Height of Great Dodecahedron

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

Symbol: h_Pyramid

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pyramidal Height of Great 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 Dodecahedron

Go Edge Length of Great Dodecahedron given Ridge Length

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

Go Edge Length of Great Dodecahedron given Circumsphere Radius

l e = \frac{4 \cdot r c}{\sqrt{10 + (2 \cdot \sqrt{5})}}

Go Edge Length of Great Dodecahedron given Total Surface Area

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

Go Edge Length of Great Dodecahedron given Volume

l e = {(\frac{4 \cdot V}{5 \cdot (\sqrt{5} - 1)})}^{\frac{1}{3}}

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

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

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

FAQs on Edge Length of Great Dodecahedron given Pyramidal Height

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

The formula of Edge Length of Great Dodecahedron given Pyramidal Height is expressed as Edge Length of Great Dodecahedron = (6*Pyramidal Height of Great Dodecahedron)/(sqrt(3)*(3-sqrt(5))). Here is an example- 9.069136 = (6*2)/(sqrt(3)*(3-sqrt(5))).

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

With Pyramidal Height of Great Dodecahedron (h_Pyramid) we can find Edge Length of Great Dodecahedron given Pyramidal Height using the formula - Edge Length of Great Dodecahedron = (6*Pyramidal Height of Great 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 Dodecahedron?

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

Edge Length of Great Dodecahedron=(2*Ridge Length of Great Dodecahedron)/(sqrt(5)-1)
Edge Length of Great Dodecahedron=(4*Circumsphere Radius of Great Dodecahedron)/sqrt(10+(2*sqrt(5)))
Edge Length of Great Dodecahedron=sqrt(Total Surface Area of Great Dodecahedron/(15*sqrt(5-(2*sqrt(5)))))

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

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

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

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

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