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Dodecahedral Edge Length of Truncated Dodecahedron given Surface to Volume Ratio 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{12 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}{R A/V \cdot (99 + (47 \cdot \sqrt{5}))}

l_{e(Dodecahedron)} - Dodecahedral Edge Length of Truncated Dodecahedron?R_A/V - Surface to Volume Ratio of Truncated Dodecahedron?

Dodecahedral Edge Length of Truncated Dodecahedron given Surface to Volume Ratio Example

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Here is how the Dodecahedral Edge Length of Truncated Dodecahedron given Surface to Volume Ratio equation looks like with Values.

Here is how the Dodecahedral Edge Length of Truncated Dodecahedron given Surface to Volume Ratio equation looks like with Units.

Here is how the Dodecahedral Edge Length of Truncated Dodecahedron given Surface to Volume Ratio equation looks like.

26.5549 = \sqrt{5} \cdot \frac{12 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}{0.1 \cdot (99 + (47 \cdot \sqrt{5}))}

26.5549m = \sqrt{5} \cdot \frac{12 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}{0.1m⁻¹ \cdot (99 + (47 \cdot \sqrt{5}))}

26.5549 = \sqrt{5} \cdot \frac{12 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}{0.1 \cdot (99 + (47 \cdot \sqrt{5}))}

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Dodecahedral Edge Length of Truncated Dodecahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

l e(Dodecahedron) = \sqrt{5} \cdot \frac{12 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}{R A/V \cdot (99 + (47 \cdot \sqrt{5}))}

Next Step Substitute values of Variables

∴

l e(Dodecahedron) = \sqrt{5} \cdot \frac{12 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}{0.1m⁻¹ \cdot (99 + (47 \cdot \sqrt{5}))}

Next Step Prepare to Evaluate

∴

l e(Dodecahedron) = \sqrt{5} \cdot \frac{12 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}{0.1 \cdot (99 + (47 \cdot \sqrt{5}))}

Next Step Evaluate

∴

l e(Dodecahedron) = 26.5549265712418m

LAST Step Rounding Answer

∴

l e(Dodecahedron) = 26.5549m

Dodecahedral Edge Length of Truncated Dodecahedron given Surface to Volume Ratio 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

Surface to Volume Ratio of Truncated Dodecahedron

Surface to Volume Ratio of Truncated Dodecahedron is the numerical ratio of the total surface area of a Truncated Dodecahedron to the volume of the Truncated Dodecahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio 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 Surface to Volume Ratio?

Dodecahedral Edge Length of Truncated Dodecahedron given Surface to Volume Ratio evaluator uses Dodecahedral Edge Length of Truncated Dodecahedron = sqrt(5)*(12*(sqrt(3)+(6*sqrt(5+(2*sqrt(5))))))/(Surface to Volume Ratio of Truncated Dodecahedron*(99+(47*sqrt(5)))) to evaluate the Dodecahedral Edge Length of Truncated Dodecahedron, Dodecahedral Edge Length of Truncated Dodecahedron given Surface to Volume Ratio 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 surface to volume ratio 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 Surface to Volume Ratio using this online evaluator? To use this online evaluator for Dodecahedral Edge Length of Truncated Dodecahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Truncated Dodecahedron (R_A/V) and hit the calculate button.

FAQs on Dodecahedral Edge Length of Truncated Dodecahedron given Surface to Volume Ratio

What is the formula to find Dodecahedral Edge Length of Truncated Dodecahedron given Surface to Volume Ratio?

The formula of Dodecahedral Edge Length of Truncated Dodecahedron given Surface to Volume Ratio is expressed as Dodecahedral Edge Length of Truncated Dodecahedron = sqrt(5)*(12*(sqrt(3)+(6*sqrt(5+(2*sqrt(5))))))/(Surface to Volume Ratio of Truncated Dodecahedron*(99+(47*sqrt(5)))). Here is an example- 26.55493 = sqrt(5)*(12*(sqrt(3)+(6*sqrt(5+(2*sqrt(5))))))/(0.1*(99+(47*sqrt(5)))).

How to calculate Dodecahedral Edge Length of Truncated Dodecahedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Truncated Dodecahedron (R_A/V) we can find Dodecahedral Edge Length of Truncated Dodecahedron given Surface to Volume Ratio using the formula - Dodecahedral Edge Length of Truncated Dodecahedron = sqrt(5)*(12*(sqrt(3)+(6*sqrt(5+(2*sqrt(5))))))/(Surface to Volume Ratio of Truncated Dodecahedron*(99+(47*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 Surface to Volume Ratio be negative?

No, the Dodecahedral Edge Length of Truncated Dodecahedron given Surface to Volume Ratio, measured in Length cannot be negative.

Which unit is used to measure Dodecahedral Edge Length of Truncated Dodecahedron given Surface to Volume Ratio?

Dodecahedral Edge Length of Truncated Dodecahedron given Surface to Volume Ratio 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 Surface to Volume Ratio can be measured.

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