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

GoSurface to Volume Ratio of Truncated Dodecahedron Formula

GoSurface to Volume Ratio of Truncated Dodecahedron given Total Surface Area Formula

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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. Check FAQs

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

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

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

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

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

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

0.1207 = \frac{12 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}{\frac{22}{\sqrt{5}} \cdot (99 + (47 \cdot \sqrt{5}))}

0.1207m⁻¹ = \frac{12 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}{\frac{22m}{\sqrt{5}} \cdot (99 + (47 \cdot \sqrt{5}))}

0.1207 = \frac{12 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}{\frac{22}{\sqrt{5}} \cdot (99 + (47 \cdot \sqrt{5}))}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R A/V = \frac{12 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}{\frac{22m}{\sqrt{5}} \cdot (99 + (47 \cdot \sqrt{5}))}

Next Step Prepare to Evaluate

∴

R A/V = \frac{12 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}{\frac{22}{\sqrt{5}} \cdot (99 + (47 \cdot \sqrt{5}))}

Next Step Evaluate

∴

R A/V = 0.120704211687463m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.1207m⁻¹

Surface to Volume Ratio of Truncated Dodecahedron given Dodecahedral Edge Length Formula Elements

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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

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

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 Surface to Volume Ratio of Truncated Dodecahedron

Go Surface to Volume Ratio of Truncated Dodecahedron

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

Go Surface to Volume Ratio of Truncated Dodecahedron given Total Surface Area

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

Go Surface to Volume Ratio of Truncated Dodecahedron given Volume

R A/V = \frac{12 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}{{(\frac{12 \cdot V}{5 \cdot (99 + (47 \cdot \sqrt{5}))})}^{\frac{1}{3}} \cdot (99 + (47 \cdot \sqrt{5}))}

Go Surface to Volume Ratio of Truncated Dodecahedron given Circumsphere Radius

R A/V = \frac{12 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}{\frac{4 \cdot r c}{\sqrt{74 + (30 \cdot \sqrt{5})}} \cdot (99 + (47 \cdot \sqrt{5}))}

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

Surface to Volume Ratio of Truncated Dodecahedron given Dodecahedral Edge Length evaluator uses Surface to Volume Ratio of Truncated Dodecahedron = (12*(sqrt(3)+(6*sqrt(5+(2*sqrt(5))))))/(Dodecahedral Edge Length of Truncated Dodecahedron/sqrt(5)*(99+(47*sqrt(5)))) to evaluate the Surface to Volume Ratio of Truncated Dodecahedron, Surface to Volume Ratio of Truncated Dodecahedron given Dodecahedral Edge Length formula is defined as the numerical ratio of the total surface area of a Truncated Dodecahedron to the volume of the Truncated Dodecahedron, and calculated using the dodecahedral edge length of the Truncated Dodecahedron. Surface to Volume Ratio of Truncated Dodecahedron is denoted by R_A/V symbol.

How to evaluate Surface to Volume Ratio of Truncated Dodecahedron given Dodecahedral Edge Length using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Truncated Dodecahedron given Dodecahedral Edge Length, enter Dodecahedral Edge Length of Truncated Dodecahedron (l_{e(Dodecahedron)}) and hit the calculate button.

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

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

The formula of Surface to Volume Ratio of Truncated Dodecahedron given Dodecahedral Edge Length is expressed as Surface to Volume Ratio of Truncated Dodecahedron = (12*(sqrt(3)+(6*sqrt(5+(2*sqrt(5))))))/(Dodecahedral Edge Length of Truncated Dodecahedron/sqrt(5)*(99+(47*sqrt(5)))). Here is an example- 0.120704 = (12*(sqrt(3)+(6*sqrt(5+(2*sqrt(5))))))/(22/sqrt(5)*(99+(47*sqrt(5)))).

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

With Dodecahedral Edge Length of Truncated Dodecahedron (l_{e(Dodecahedron)}) we can find Surface to Volume Ratio of Truncated Dodecahedron given Dodecahedral Edge Length using the formula - Surface to Volume Ratio of Truncated Dodecahedron = (12*(sqrt(3)+(6*sqrt(5+(2*sqrt(5))))))/(Dodecahedral Edge Length of Truncated Dodecahedron/sqrt(5)*(99+(47*sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Surface to Volume Ratio of Truncated Dodecahedron?

Here are the different ways to Calculate Surface to Volume Ratio of Truncated Dodecahedron-

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

Can the Surface to Volume Ratio of Truncated Dodecahedron given Dodecahedral Edge Length be negative?

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

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

Surface to Volume Ratio of Truncated Dodecahedron given Dodecahedral Edge Length is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Truncated Dodecahedron given Dodecahedral Edge Length can be measured.

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