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Surface to Volume Ratio of Truncated Icosahedron given Icosahedral Edge Length Formula

GoSurface to Volume Ratio of Truncated Icosahedron Formula

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

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

R A/V = \frac{36 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{l e(Icosahedron) \cdot (125 + (43 \cdot \sqrt{5}))}

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

Surface to Volume Ratio of Truncated Icosahedron given Icosahedral Edge Length Example

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

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

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

0.1313 = \frac{36 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{30 \cdot (125 + (43 \cdot \sqrt{5}))}

0.1313m⁻¹ = \frac{36 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{30m \cdot (125 + (43 \cdot \sqrt{5}))}

0.1313 = \frac{36 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{30 \cdot (125 + (43 \cdot \sqrt{5}))}

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Surface to Volume Ratio of Truncated Icosahedron given Icosahedral Edge Length Solution

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

FIRST Step Consider the formula

R A/V = \frac{36 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{l e(Icosahedron) \cdot (125 + (43 \cdot \sqrt{5}))}

Next Step Substitute values of Variables

∴

R A/V = \frac{36 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{30m \cdot (125 + (43 \cdot \sqrt{5}))}

Next Step Prepare to Evaluate

∴

R A/V = \frac{36 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{30 \cdot (125 + (43 \cdot \sqrt{5}))}

Next Step Evaluate

∴

R A/V = 0.131326158694742m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.1313m⁻¹

Surface to Volume Ratio of Truncated Icosahedron given Icosahedral Edge Length Formula Elements

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Surface to Volume Ratio of Truncated Icosahedron

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

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 Icosahedron

Icosahedral Edge Length of Truncated Icosahedron

Icosahedral Edge Length of Truncated Icosahedron is the length of any edge of the larger Icosahedron from which the corners are cut to form the Truncated Icosahedron.

Symbol: l_{e(Icosahedron)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Icosahedral Edge Length of Truncated Icosahedron

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 Icosahedron

Go Surface to Volume Ratio of Truncated Icosahedron

R A/V = \frac{12 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{l e \cdot (125 + (43 \cdot \sqrt{5}))}

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

R A/V = \frac{12 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{\sqrt{\frac{TSA}{3 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}} \cdot (125 + (43 \cdot \sqrt{5}))}

Go Surface to Volume Ratio of Truncated Icosahedron given Volume

R A/V = \frac{12 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{{(\frac{4 \cdot V}{125 + (43 \cdot \sqrt{5})})}^{\frac{1}{3}} \cdot (125 + (43 \cdot \sqrt{5}))}

Go Surface to Volume Ratio of Truncated Icosahedron given Circumsphere Radius

R A/V = \frac{3 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{\frac{r c}{\sqrt{58 + (18 \cdot \sqrt{5})}} \cdot (125 + (43 \cdot \sqrt{5}))}

How to Evaluate Surface to Volume Ratio of Truncated Icosahedron given Icosahedral Edge Length?

Surface to Volume Ratio of Truncated Icosahedron given Icosahedral Edge Length evaluator uses Surface to Volume Ratio of Truncated Icosahedron = (36*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))/(Icosahedral Edge Length of Truncated Icosahedron*(125+(43*sqrt(5)))) to evaluate the Surface to Volume Ratio of Truncated Icosahedron, Surface to Volume Ratio of Truncated Icosahedron given Icosahedral Edge Length formula is defined as the numerical ratio of the total surface area of a Truncated Icosahedron to the volume of the Truncated Icosahedron, and calculated using the icosahedral edge length of the Truncated Icosahedron. Surface to Volume Ratio of Truncated Icosahedron is denoted by R_A/V symbol.

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

FAQs on Surface to Volume Ratio of Truncated Icosahedron given Icosahedral Edge Length

What is the formula to find Surface to Volume Ratio of Truncated Icosahedron given Icosahedral Edge Length?

The formula of Surface to Volume Ratio of Truncated Icosahedron given Icosahedral Edge Length is expressed as Surface to Volume Ratio of Truncated Icosahedron = (36*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))/(Icosahedral Edge Length of Truncated Icosahedron*(125+(43*sqrt(5)))). Here is an example- 0.131326 = (36*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))/(30*(125+(43*sqrt(5)))).

How to calculate Surface to Volume Ratio of Truncated Icosahedron given Icosahedral Edge Length?

With Icosahedral Edge Length of Truncated Icosahedron (l_{e(Icosahedron)}) we can find Surface to Volume Ratio of Truncated Icosahedron given Icosahedral Edge Length using the formula - Surface to Volume Ratio of Truncated Icosahedron = (36*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))/(Icosahedral Edge Length of Truncated Icosahedron*(125+(43*sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

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

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

Surface to Volume Ratio of Truncated Icosahedron=(12*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))/(Edge Length of Truncated Icosahedron*(125+(43*sqrt(5))))
Surface to Volume Ratio of Truncated Icosahedron=(12*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))/(sqrt(Total Surface Area of Truncated Icosahedron/(3*((10*sqrt(3))+sqrt(25+(10*sqrt(5))))))*(125+(43*sqrt(5))))
Surface to Volume Ratio of Truncated Icosahedron=(12*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))/(((4*Volume of Truncated Icosahedron)/(125+(43*sqrt(5))))^(1/3)*(125+(43*sqrt(5))))

Can the Surface to Volume Ratio of Truncated Icosahedron given Icosahedral Edge Length be negative?

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

Which unit is used to measure Surface to Volume Ratio of Truncated Icosahedron given Icosahedral Edge Length?

Surface to Volume Ratio of Truncated Icosahedron given Icosahedral 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 Icosahedron given Icosahedral Edge Length can be measured.

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