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Edge Length of Truncated Dodecahedron given Midsphere 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 m}{5 + (3 \cdot \sqrt{5})}

l_e - Edge Length of Truncated Dodecahedron?r_m - Midsphere Radius of Truncated Dodecahedron?

Edge Length of Truncated Dodecahedron given Midsphere Radius Example

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

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

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

9.9076 = \frac{4 \cdot 29}{5 + (3 \cdot \sqrt{5})}

9.9076m = \frac{4 \cdot 29m}{5 + (3 \cdot \sqrt{5})}

9.9076 = \frac{4 \cdot 29}{5 + (3 \cdot \sqrt{5})}

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Edge Length of Truncated Dodecahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = \frac{4 \cdot 29m}{5 + (3 \cdot \sqrt{5})}

Next Step Prepare to Evaluate

∴

l e = \frac{4 \cdot 29}{5 + (3 \cdot \sqrt{5})}

Next Step Evaluate

∴

l e = 9.90758280849634m

LAST Step Rounding Answer

∴

l e = 9.9076m

Edge Length of Truncated Dodecahedron given Midsphere 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

Midsphere Radius of Truncated Dodecahedron

Midsphere Radius of Truncated Dodecahedron is the radius of the sphere for which all the edges of the Truncated Dodecahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere 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 Circumsphere Radius

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

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

Edge Length of Truncated Dodecahedron given Midsphere Radius evaluator uses Edge Length of Truncated Dodecahedron = (4*Midsphere Radius of Truncated Dodecahedron)/(5+(3*sqrt(5))) to evaluate the Edge Length of Truncated Dodecahedron, Edge Length of Truncated Dodecahedron given Midsphere Radius formula is defined as the length of any edge of the Truncated Dodecahedron, and calculated using the midsphere 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 Midsphere Radius using this online evaluator? To use this online evaluator for Edge Length of Truncated Dodecahedron given Midsphere Radius, enter Midsphere Radius of Truncated Dodecahedron (r_m) and hit the calculate button.

FAQs on Edge Length of Truncated Dodecahedron given Midsphere Radius

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

The formula of Edge Length of Truncated Dodecahedron given Midsphere Radius is expressed as Edge Length of Truncated Dodecahedron = (4*Midsphere Radius of Truncated Dodecahedron)/(5+(3*sqrt(5))). Here is an example- 9.907583 = (4*29)/(5+(3*sqrt(5))).

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

With Midsphere Radius of Truncated Dodecahedron (r_m) we can find Edge Length of Truncated Dodecahedron given Midsphere Radius using the formula - Edge Length of Truncated Dodecahedron = (4*Midsphere Radius of Truncated Dodecahedron)/(5+(3*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 Midsphere Radius be negative?

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

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

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

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