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Surface to Volume Ratio of Truncated Icosahedron given Midsphere Radius Formula

GoSurface to Volume Ratio of Truncated Icosahedron Formula

GoSurface to Volume Ratio of Truncated Icosahedron given Icosahedral Edge Length 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{9 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{\frac{r m}{1 + \sqrt{5}} \cdot (125 + (43 \cdot \sqrt{5}))}

R_A/V - Surface to Volume Ratio of Truncated Icosahedron?r_m - Midsphere Radius of Truncated Icosahedron?

Surface to Volume Ratio of Truncated Icosahedron given Midsphere Radius Example

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

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

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

0.1328 = \frac{9 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{\frac{24}{1 + \sqrt{5}} \cdot (125 + (43 \cdot \sqrt{5}))}

0.1328m⁻¹ = \frac{9 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{\frac{24m}{1 + \sqrt{5}} \cdot (125 + (43 \cdot \sqrt{5}))}

0.1328 = \frac{9 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{\frac{24}{1 + \sqrt{5}} \cdot (125 + (43 \cdot \sqrt{5}))}

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3D Geometry » fx Surface to Volume Ratio of Truncated Icosahedron given Midsphere Radius

Surface to Volume Ratio of Truncated Icosahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

R A/V = \frac{9 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{\frac{r m}{1 + \sqrt{5}} \cdot (125 + (43 \cdot \sqrt{5}))}

Next Step Substitute values of Variables

∴

R A/V = \frac{9 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{\frac{24m}{1 + \sqrt{5}} \cdot (125 + (43 \cdot \sqrt{5}))}

Next Step Prepare to Evaluate

∴

R A/V = \frac{9 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{\frac{24}{1 + \sqrt{5}} \cdot (125 + (43 \cdot \sqrt{5}))}

Next Step Evaluate

∴

R A/V = 0.132806367737534m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.1328m⁻¹

Surface to Volume Ratio of Truncated Icosahedron given Midsphere Radius Formula Elements

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Functions

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

Midsphere Radius of Truncated Icosahedron

Midsphere Radius of Truncated Icosahedron is the radius of the sphere for which all the edges of the Truncated Icosahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius 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 Icosahedral Edge Length

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}))}

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}))}

How to Evaluate Surface to Volume Ratio of Truncated Icosahedron given Midsphere Radius?

Surface to Volume Ratio of Truncated Icosahedron given Midsphere Radius evaluator uses Surface to Volume Ratio of Truncated Icosahedron = (9*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))/(Midsphere Radius of Truncated Icosahedron/(1+sqrt(5))*(125+(43*sqrt(5)))) to evaluate the Surface to Volume Ratio of Truncated Icosahedron, Surface to Volume Ratio of Truncated Icosahedron given Midsphere Radius 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 midsphere radius 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 Midsphere Radius using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Truncated Icosahedron given Midsphere Radius, enter Midsphere Radius of Truncated Icosahedron (r_m) and hit the calculate button.

FAQs on Surface to Volume Ratio of Truncated Icosahedron given Midsphere Radius

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

The formula of Surface to Volume Ratio of Truncated Icosahedron given Midsphere Radius is expressed as Surface to Volume Ratio of Truncated Icosahedron = (9*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))/(Midsphere Radius of Truncated Icosahedron/(1+sqrt(5))*(125+(43*sqrt(5)))). Here is an example- 0.132806 = (9*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))/(24/(1+sqrt(5))*(125+(43*sqrt(5)))).

How to calculate Surface to Volume Ratio of Truncated Icosahedron given Midsphere Radius?

With Midsphere Radius of Truncated Icosahedron (r_m) we can find Surface to Volume Ratio of Truncated Icosahedron given Midsphere Radius using the formula - Surface to Volume Ratio of Truncated Icosahedron = (9*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))/(Midsphere Radius of Truncated Icosahedron/(1+sqrt(5))*(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=(36*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))/(Icosahedral 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))))

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

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

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

Surface to Volume Ratio of Truncated Icosahedron given Midsphere Radius 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 Midsphere Radius can be measured.

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