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Dodecahedral Edge Length of Truncated Dodecahedron given Total Surface Area Formula

GoDodecahedral Edge Length of Truncated Dodecahedron Formula

GoDodecahedral Edge Length of Truncated Dodecahedron given Volume 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{\frac{TSA}{\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})}}

l_{e(Dodecahedron)} - Dodecahedral Edge Length of Truncated Dodecahedron?TSA - Total Surface Area of Truncated Dodecahedron?

Dodecahedral Edge Length of Truncated Dodecahedron given Total Surface Area Example

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Here is how the Dodecahedral Edge Length of Truncated Dodecahedron given Total Surface Area equation looks like with Values.

Here is how the Dodecahedral Edge Length of Truncated Dodecahedron given Total Surface Area equation looks like with Units.

Here is how the Dodecahedral Edge Length of Truncated Dodecahedron given Total Surface Area equation looks like.

22.2507 = \sqrt{\frac{10000}{\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})}}

22.2507m = \sqrt{\frac{10000m²}{\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})}}

22.2507 = \sqrt{\frac{10000}{\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})}}

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Dodecahedral Edge Length of Truncated Dodecahedron given Total Surface Area Solution

Follow our step by step solution on how to calculate Dodecahedral Edge Length of Truncated Dodecahedron given Total Surface Area?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e(Dodecahedron) = \sqrt{\frac{10000m²}{\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})}}

Next Step Prepare to Evaluate

∴

l e(Dodecahedron) = \sqrt{\frac{10000}{\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})}}

Next Step Evaluate

∴

l e(Dodecahedron) = 22.2507257863901m

LAST Step Rounding Answer

∴

l e(Dodecahedron) = 22.2507m

Dodecahedral Edge Length of Truncated Dodecahedron given Total Surface Area 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

Total Surface Area of Truncated Dodecahedron

Total Surface Area of Truncated Dodecahedron is the total quantity of plane enclosed by the entire surface of the Truncated Dodecahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 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})}}

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 Total Surface Area?

Dodecahedral Edge Length of Truncated Dodecahedron given Total Surface Area evaluator uses Dodecahedral Edge Length of Truncated Dodecahedron = sqrt(Total Surface Area of Truncated Dodecahedron/(sqrt(3)+(6*sqrt(5+(2*sqrt(5)))))) to evaluate the Dodecahedral Edge Length of Truncated Dodecahedron, Dodecahedral Edge Length of Truncated Dodecahedron given Total Surface Area 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 total surface area 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 Total Surface Area using this online evaluator? To use this online evaluator for Dodecahedral Edge Length of Truncated Dodecahedron given Total Surface Area, enter Total Surface Area of Truncated Dodecahedron (TSA) and hit the calculate button.

FAQs on Dodecahedral Edge Length of Truncated Dodecahedron given Total Surface Area

What is the formula to find Dodecahedral Edge Length of Truncated Dodecahedron given Total Surface Area?

The formula of Dodecahedral Edge Length of Truncated Dodecahedron given Total Surface Area is expressed as Dodecahedral Edge Length of Truncated Dodecahedron = sqrt(Total Surface Area of Truncated Dodecahedron/(sqrt(3)+(6*sqrt(5+(2*sqrt(5)))))). Here is an example- 22.25073 = sqrt(10000/(sqrt(3)+(6*sqrt(5+(2*sqrt(5)))))).

How to calculate Dodecahedral Edge Length of Truncated Dodecahedron given Total Surface Area?

With Total Surface Area of Truncated Dodecahedron (TSA) we can find Dodecahedral Edge Length of Truncated Dodecahedron given Total Surface Area using the formula - Dodecahedral Edge Length of Truncated Dodecahedron = sqrt(Total Surface Area of Truncated Dodecahedron/(sqrt(3)+(6*sqrt(5+(2*sqrt(5)))))). This formula also uses Square Root Function 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(5)*((12*Volume of Truncated Dodecahedron)/(5*(99+(47*sqrt(5)))))^(1/3)
Dodecahedral Edge Length of Truncated Dodecahedron=sqrt(5)*(4*Circumsphere Radius of Truncated Dodecahedron)/(sqrt(74+(30*sqrt(5))))

Can the Dodecahedral Edge Length of Truncated Dodecahedron given Total Surface Area be negative?

No, the Dodecahedral Edge Length of Truncated Dodecahedron given Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Dodecahedral Edge Length of Truncated Dodecahedron given Total Surface Area?

Dodecahedral Edge Length of Truncated Dodecahedron given Total Surface Area 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 Total Surface Area can be measured.

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