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Dodecahedral Edge Length of Truncated Dodecahedron given Circumsphere Radius Formula

GoDodecahedral Edge Length of Truncated Dodecahedron Formula

GoDodecahedral Edge Length of Truncated Dodecahedron given Total Surface Area Formula

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Dodecahedral Edge Length of Truncated Dodecahedron is the length of any edge of the larger dodecahedron from which the corners are cut to form the Truncated Dodecahedron. Check FAQs

l e(Dodecahedron) = \sqrt{5} \cdot \frac{4 \cdot r c}{\sqrt{74 + (30 \cdot \sqrt{5})}}

l_{e(Dodecahedron)} - Dodecahedral Edge Length of Truncated Dodecahedron?r_c - Circumsphere Radius of Truncated Dodecahedron?

Dodecahedral Edge Length of Truncated Dodecahedron given Circumsphere Radius Example

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Here is how the Dodecahedral Edge Length of Truncated Dodecahedron given Circumsphere Radius equation looks like with Values.

Here is how the Dodecahedral Edge Length of Truncated Dodecahedron given Circumsphere Radius equation looks like with Units.

Here is how the Dodecahedral Edge Length of Truncated Dodecahedron given Circumsphere Radius equation looks like.

22.5907 = \sqrt{5} \cdot \frac{4 \cdot 30}{\sqrt{74 + (30 \cdot \sqrt{5})}}

22.5907m = \sqrt{5} \cdot \frac{4 \cdot 30m}{\sqrt{74 + (30 \cdot \sqrt{5})}}

22.5907 = \sqrt{5} \cdot \frac{4 \cdot 30}{\sqrt{74 + (30 \cdot \sqrt{5})}}

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Dodecahedral Edge Length of Truncated Dodecahedron given Circumsphere Radius Solution

Follow our step by step solution on how to calculate Dodecahedral Edge Length of Truncated Dodecahedron given Circumsphere Radius?

FIRST Step Consider the formula

l e(Dodecahedron) = \sqrt{5} \cdot \frac{4 \cdot r c}{\sqrt{74 + (30 \cdot \sqrt{5})}}

Next Step Substitute values of Variables

∴

l e(Dodecahedron) = \sqrt{5} \cdot \frac{4 \cdot 30m}{\sqrt{74 + (30 \cdot \sqrt{5})}}

Next Step Prepare to Evaluate

∴

l e(Dodecahedron) = \sqrt{5} \cdot \frac{4 \cdot 30}{\sqrt{74 + (30 \cdot \sqrt{5})}}

Next Step Evaluate

∴

l e(Dodecahedron) = 22.5907361825806m

LAST Step Rounding Answer

∴

l e(Dodecahedron) = 22.5907m

Dodecahedral Edge Length of Truncated Dodecahedron given Circumsphere Radius Formula Elements

Variables

Functions

Dodecahedral Edge Length of Truncated Dodecahedron

Dodecahedral Edge Length of Truncated Dodecahedron is the length of any edge of the larger dodecahedron from which the corners are cut to form the Truncated Dodecahedron.

Symbol: l_{e(Dodecahedron)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Dodecahedral Edge Length of Truncated Dodecahedron

Circumsphere Radius of Truncated Dodecahedron

Circumsphere Radius of Truncated Dodecahedron is the radius of the sphere that contains the Truncated Dodecahedron in such a way that all the vertices are lying on the sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere Radius of Truncated 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 Dodecahedral Edge Length of Truncated Dodecahedron

Go Dodecahedral Edge Length of Truncated Dodecahedron

l e(Dodecahedron) = \sqrt{5} \cdot l e

Go Dodecahedral Edge Length of Truncated Dodecahedron given Total Surface Area

l e(Dodecahedron) = \sqrt{\frac{TSA}{\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})}}

Go Dodecahedral Edge Length of Truncated Dodecahedron given Volume

l e(Dodecahedron) = \sqrt{5} \cdot {(\frac{12 \cdot V}{5 \cdot (99 + (47 \cdot \sqrt{5}))})}^{\frac{1}{3}}

Go Dodecahedral Edge Length of Truncated Dodecahedron given Midsphere Radius

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

How to Evaluate Dodecahedral Edge Length of Truncated Dodecahedron given Circumsphere Radius?

Dodecahedral Edge Length of Truncated Dodecahedron given Circumsphere Radius evaluator uses Dodecahedral Edge Length of Truncated Dodecahedron = sqrt(5)*(4*Circumsphere Radius of Truncated Dodecahedron)/(sqrt(74+(30*sqrt(5)))) to evaluate the Dodecahedral Edge Length of Truncated Dodecahedron, Dodecahedral Edge Length of Truncated Dodecahedron given Circumsphere Radius formula is defined as the length of any edge of the larger dodecahedron from which the corners are cut to form the Truncated Dodecahedron, and calculated using the circumsphere radius of the Truncated Dodecahedron. Dodecahedral Edge Length of Truncated Dodecahedron is denoted by l_{e(Dodecahedron)} symbol.

How to evaluate Dodecahedral Edge Length of Truncated Dodecahedron given Circumsphere Radius using this online evaluator? To use this online evaluator for Dodecahedral Edge Length of Truncated Dodecahedron given Circumsphere Radius, enter Circumsphere Radius of Truncated Dodecahedron (r_c) and hit the calculate button.

FAQs on Dodecahedral Edge Length of Truncated Dodecahedron given Circumsphere Radius

What is the formula to find Dodecahedral Edge Length of Truncated Dodecahedron given Circumsphere Radius?

The formula of Dodecahedral Edge Length of Truncated Dodecahedron given Circumsphere Radius is expressed as Dodecahedral Edge Length of Truncated Dodecahedron = sqrt(5)*(4*Circumsphere Radius of Truncated Dodecahedron)/(sqrt(74+(30*sqrt(5)))). Here is an example- 22.59074 = sqrt(5)*(4*30)/(sqrt(74+(30*sqrt(5)))).

How to calculate Dodecahedral Edge Length of Truncated Dodecahedron given Circumsphere Radius?

With Circumsphere Radius of Truncated Dodecahedron (r_c) we can find Dodecahedral Edge Length of Truncated Dodecahedron given Circumsphere Radius using the formula - Dodecahedral Edge Length of Truncated Dodecahedron = sqrt(5)*(4*Circumsphere Radius of Truncated Dodecahedron)/(sqrt(74+(30*sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Dodecahedral Edge Length of Truncated Dodecahedron?

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

Dodecahedral Edge Length of Truncated Dodecahedron=sqrt(5)*Edge Length of Truncated Dodecahedron
Dodecahedral Edge Length of Truncated Dodecahedron=sqrt(Total Surface Area of Truncated Dodecahedron/(sqrt(3)+(6*sqrt(5+(2*sqrt(5))))))
Dodecahedral Edge Length of Truncated Dodecahedron=sqrt(5)*((12*Volume of Truncated Dodecahedron)/(5*(99+(47*sqrt(5)))))^(1/3)

Can the Dodecahedral Edge Length of Truncated Dodecahedron given Circumsphere Radius be negative?

No, the Dodecahedral Edge Length of Truncated Dodecahedron given Circumsphere Radius, measured in Length cannot be negative.

Which unit is used to measure Dodecahedral Edge Length of Truncated Dodecahedron given Circumsphere Radius?

Dodecahedral Edge Length of Truncated Dodecahedron given Circumsphere Radius is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Dodecahedral Edge Length of Truncated Dodecahedron given Circumsphere Radius can be measured.

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