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Edge Length of Truncated Dodecahedron given Circumsphere Radius Formula

GoEdge Length of Truncated Dodecahedron given Dodecahedral Edge Length Formula

GoEdge Length of Truncated Dodecahedron given Total Surface Area Formula

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Edge Length of Truncated Dodecahedron is the length of any edge of the Truncated Dodecahedron. Check FAQs

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

l_e - Edge Length of Truncated Dodecahedron?r_c - Circumsphere Radius of Truncated Dodecahedron?

Edge Length of Truncated Dodecahedron given Circumsphere Radius Example

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

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

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

10.1029 = \frac{4 \cdot 30}{\sqrt{74 + (30 \cdot \sqrt{5})}}

10.1029m = \frac{4 \cdot 30m}{\sqrt{74 + (30 \cdot \sqrt{5})}}

10.1029 = \frac{4 \cdot 30}{\sqrt{74 + (30 \cdot \sqrt{5})}}

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3D Geometry » fx Edge Length of Truncated Dodecahedron given Circumsphere Radius

Edge Length of Truncated Dodecahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

l e = 10.1028843532029m

LAST Step Rounding Answer

∴

l e = 10.1029m

Edge Length of Truncated Dodecahedron given Circumsphere Radius Formula Elements

Variables

Functions

Edge Length of Truncated Dodecahedron

Edge Length of Truncated Dodecahedron is the length of any edge of the Truncated Dodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find 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 Edge Length of Truncated Dodecahedron

Go Edge Length of Truncated Dodecahedron given Dodecahedral Edge Length

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

Go Edge Length of Truncated Dodecahedron given Total Surface Area

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

Go Edge Length of Truncated Dodecahedron given Volume

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

Go Edge Length of Truncated Dodecahedron given Midsphere Radius

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

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

Edge Length of Truncated Dodecahedron given Circumsphere Radius evaluator uses Edge Length of Truncated Dodecahedron = (4*Circumsphere Radius of Truncated Dodecahedron)/(sqrt(74+(30*sqrt(5)))) to evaluate the Edge Length of Truncated Dodecahedron, Edge Length of Truncated Dodecahedron given Circumsphere Radius formula is defined as the length of any edge of the Truncated Dodecahedron, and calculated using the circumsphere radius of the Truncated Dodecahedron. Edge Length of Truncated Dodecahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Truncated Dodecahedron given Circumsphere Radius

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

The formula of Edge Length of Truncated Dodecahedron given Circumsphere Radius is expressed as Edge Length of Truncated Dodecahedron = (4*Circumsphere Radius of Truncated Dodecahedron)/(sqrt(74+(30*sqrt(5)))). Here is an example- 10.10288 = (4*30)/(sqrt(74+(30*sqrt(5)))).

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

With Circumsphere Radius of Truncated Dodecahedron (r_c) we can find Edge Length of Truncated Dodecahedron given Circumsphere Radius using the formula - Edge Length of Truncated Dodecahedron = (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 Edge Length of Truncated Dodecahedron?

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

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

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

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

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

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 Edge Length of Truncated Dodecahedron given Circumsphere Radius can be measured.

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