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Surface to Volume Ratio of Truncated Icosahedron 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{12 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{l e \cdot (125 + (43 \cdot \sqrt{5}))}

R_A/V - Surface to Volume Ratio of Truncated Icosahedron?l_e - Edge Length of Truncated Icosahedron?

Surface to Volume Ratio of Truncated Icosahedron Example

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

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

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

0.1313 = \frac{12 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{10 \cdot (125 + (43 \cdot \sqrt{5}))}

0.1313m⁻¹ = \frac{12 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{10m \cdot (125 + (43 \cdot \sqrt{5}))}

0.1313 = \frac{12 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{10 \cdot (125 + (43 \cdot \sqrt{5}))}

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Surface to Volume Ratio of Truncated Icosahedron Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Edge Length of Truncated Icosahedron

Edge Length of Truncated Icosahedron is the length of any edge of the Truncated Icosahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find 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 in Surface to Volume Ratio of Truncated Icosahedron category

Go Edge Length of Truncated Icosahedron given Circumsphere Radius

l e = \frac{4 \cdot r c}{\sqrt{58 + (18 \cdot \sqrt{5})}}

Go Edge Length of Truncated Icosahedron given Midsphere Radius

l e = \frac{4 \cdot r m}{3 \cdot (1 + \sqrt{5})}

Go Edge Length of Truncated Icosahedron given Volume

l e = {(\frac{4 \cdot V}{125 + (43 \cdot \sqrt{5})})}^{\frac{1}{3}}

Go Icosahedral Edge Length of Truncated Icosahedron

l e(Icosahedron) = 3 \cdot l e

How to Evaluate Surface to Volume Ratio of Truncated Icosahedron?

Surface to Volume Ratio of Truncated Icosahedron evaluator uses 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)))) to evaluate the Surface to Volume Ratio of Truncated Icosahedron, Surface to Volume Ratio of Truncated Icosahedron formula is defined as the numerical ratio of the total surface area of a Truncated Icosahedron to the volume 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 using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Truncated Icosahedron, enter Edge Length of Truncated Icosahedron (l_e) and hit the calculate button.

FAQs on Surface to Volume Ratio of Truncated Icosahedron

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

The formula of Surface to Volume Ratio of Truncated Icosahedron is expressed as 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)))). Here is an example- 0.131326 = (12*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))/(10*(125+(43*sqrt(5)))).

How to calculate Surface to Volume Ratio of Truncated Icosahedron?

With Edge Length of Truncated Icosahedron (l_e) we can find Surface to Volume Ratio of Truncated Icosahedron using the formula - 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)))). This formula also uses Square Root (sqrt) function(s).

Can the Surface to Volume Ratio of Truncated Icosahedron be negative?

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

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

Surface to Volume Ratio of Truncated Icosahedron 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 can be measured.

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