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Surface to Volume Ratio of Truncated Dodecahedron given Volume Formula

GoSurface to Volume Ratio of Truncated Dodecahedron Formula

GoSurface to Volume Ratio of Truncated Dodecahedron given Dodecahedral Edge Length 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{12 \cdot V}{5 \cdot (99 + (47 \cdot \sqrt{5}))})}^{\frac{1}{3}} \cdot (99 + (47 \cdot \sqrt{5}))}

R_A/V - Surface to Volume Ratio of Truncated Dodecahedron?V - Volume of Truncated Dodecahedron?

Surface to Volume Ratio of Truncated Dodecahedron given Volume Example

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

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

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

0.1188 = \frac{12 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}{{(\frac{12 \cdot 85000}{5 \cdot (99 + (47 \cdot \sqrt{5}))})}^{\frac{1}{3}} \cdot (99 + (47 \cdot \sqrt{5}))}

0.1188m⁻¹ = \frac{12 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}{{(\frac{12 \cdot 85000m³}{5 \cdot (99 + (47 \cdot \sqrt{5}))})}^{\frac{1}{3}} \cdot (99 + (47 \cdot \sqrt{5}))}

0.1188 = \frac{12 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}{{(\frac{12 \cdot 85000}{5 \cdot (99 + (47 \cdot \sqrt{5}))})}^{\frac{1}{3}} \cdot (99 + (47 \cdot \sqrt{5}))}

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Surface to Volume Ratio of Truncated Dodecahedron given Volume Solution

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

FIRST Step Consider the formula

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}))}

Next Step Substitute values of Variables

∴

R A/V = \frac{12 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}{{(\frac{12 \cdot 85000m³}{5 \cdot (99 + (47 \cdot \sqrt{5}))})}^{\frac{1}{3}} \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{12 \cdot 85000}{5 \cdot (99 + (47 \cdot \sqrt{5}))})}^{\frac{1}{3}} \cdot (99 + (47 \cdot \sqrt{5}))}

Next Step Evaluate

∴

R A/V = 0.118775711396384m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.1188m⁻¹

Surface to Volume Ratio of Truncated Dodecahedron given Volume 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

Volume of Truncated Dodecahedron

Volume of Truncated Dodecahedron is the total quantity of three dimensional space enclosed by the surface of the Truncated Dodecahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Dodecahedral Edge Length

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}))}

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 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 Volume?

Surface to Volume Ratio of Truncated Dodecahedron given Volume evaluator uses 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)))) to evaluate the Surface to Volume Ratio of Truncated Dodecahedron, Surface to Volume Ratio of Truncated Dodecahedron given Volume 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 volume 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 Volume using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Truncated Dodecahedron given Volume, enter Volume of Truncated Dodecahedron (V) and hit the calculate button.

FAQs on Surface to Volume Ratio of Truncated Dodecahedron given Volume

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

The formula of Surface to Volume Ratio of Truncated Dodecahedron given Volume is expressed as 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)))). Here is an example- 0.118776 = (12*(sqrt(3)+(6*sqrt(5+(2*sqrt(5))))))/(((12*85000)/(5*(99+(47*sqrt(5)))))^(1/3)*(99+(47*sqrt(5)))).

How to calculate Surface to Volume Ratio of Truncated Dodecahedron given Volume?

With Volume of Truncated Dodecahedron (V) we can find Surface to Volume Ratio of Truncated Dodecahedron given Volume using the formula - 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)))). 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))))))/(Dodecahedral Edge Length of Truncated Dodecahedron/sqrt(5)*(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))))

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

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

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

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

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