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

l_{e(Dodecahedron)} - Dodecahedral Edge Length of Truncated Dodecahedron?r_m - Midsphere Radius of Truncated Dodecahedron?

Dodecahedral Edge Length of Truncated Dodecahedron given Midsphere Radius Example

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

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

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

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

22.154m = \sqrt{5} \cdot \frac{4 \cdot 29m}{5 + (3 \cdot \sqrt{5})}

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

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Dodecahedral Edge Length of Truncated Dodecahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

l e(Dodecahedron) = 22.1540286525061m

LAST Step Rounding Answer

∴

l e(Dodecahedron) = 22.154m

Dodecahedral Edge Length of Truncated Dodecahedron given Midsphere 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

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 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 Circumsphere Radius

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

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

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

FAQs on Dodecahedral Edge Length of Truncated Dodecahedron given Midsphere Radius

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

The formula of Dodecahedral Edge Length of Truncated Dodecahedron given Midsphere Radius is expressed as Dodecahedral Edge Length of Truncated Dodecahedron = sqrt(5)*(4*Midsphere Radius of Truncated Dodecahedron)/(5+(3*sqrt(5))). Here is an example- 22.15403 = sqrt(5)*(4*29)/(5+(3*sqrt(5))).

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

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

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

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

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

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