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Surface to Volume Ratio of Icosidodecahedron given Midsphere Radius Formula

GoSurface to Volume Ratio of Icosidodecahedron Formula

GoSurface to Volume Ratio of Icosidodecahedron given Total Surface Area Formula

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

R A/V = \frac{6 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{\frac{2 \cdot r m}{\sqrt{5 + (2 \cdot \sqrt{5})}} \cdot (45 + (17 \cdot \sqrt{5}))}

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

Surface to Volume Ratio of Icosidodecahedron given Midsphere Radius Example

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

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

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

0.2173 = \frac{6 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{\frac{2 \cdot 15}{\sqrt{5 + (2 \cdot \sqrt{5})}} \cdot (45 + (17 \cdot \sqrt{5}))}

0.2173m⁻¹ = \frac{6 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{\frac{2 \cdot 15m}{\sqrt{5 + (2 \cdot \sqrt{5})}} \cdot (45 + (17 \cdot \sqrt{5}))}

0.2173 = \frac{6 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{\frac{2 \cdot 15}{\sqrt{5 + (2 \cdot \sqrt{5})}} \cdot (45 + (17 \cdot \sqrt{5}))}

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Surface to Volume Ratio of Icosidodecahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

R A/V = \frac{6 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{\frac{2 \cdot r m}{\sqrt{5 + (2 \cdot \sqrt{5})}} \cdot (45 + (17 \cdot \sqrt{5}))}

Next Step Substitute values of Variables

∴

R A/V = \frac{6 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{\frac{2 \cdot 15m}{\sqrt{5 + (2 \cdot \sqrt{5})}} \cdot (45 + (17 \cdot \sqrt{5}))}

Next Step Prepare to Evaluate

∴

R A/V = \frac{6 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{\frac{2 \cdot 15}{\sqrt{5 + (2 \cdot \sqrt{5})}} \cdot (45 + (17 \cdot \sqrt{5}))}

Next Step Evaluate

∴

R A/V = 0.217301800591992m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.2173m⁻¹

Surface to Volume Ratio of Icosidodecahedron given Midsphere Radius Formula Elements

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Functions

Surface to Volume Ratio of Icosidodecahedron

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

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Icosidodecahedron

Midsphere Radius of Icosidodecahedron

Midsphere Radius of Icosidodecahedron is the radius of the sphere for which all the edges of the Icosidodecahedron 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 Icosidodecahedron

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 Icosidodecahedron

Go Surface to Volume Ratio of Icosidodecahedron

R A/V = \frac{6 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{l e \cdot (45 + (17 \cdot \sqrt{5}))}

Go Surface to Volume Ratio of Icosidodecahedron given Total Surface Area

R A/V = \frac{6 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{(\sqrt{\frac{TSA}{(5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}) \cdot (45 + (17 \cdot \sqrt{5}))}

Go Surface to Volume Ratio of Icosidodecahedron given Volume

R A/V = \frac{6 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{{(\frac{6 \cdot V}{45 + (17 \cdot \sqrt{5})})}^{\frac{1}{3}} \cdot (45 + (17 \cdot \sqrt{5}))}

Go Surface to Volume Ratio of Icosidodecahedron given Circumsphere Radius

R A/V = \frac{6 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{\frac{2 \cdot r c}{1 + \sqrt{5}} \cdot (45 + (17 \cdot \sqrt{5}))}

How to Evaluate Surface to Volume Ratio of Icosidodecahedron given Midsphere Radius?

Surface to Volume Ratio of Icosidodecahedron given Midsphere Radius evaluator uses Surface to Volume Ratio of Icosidodecahedron = (6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/((2*Midsphere Radius of Icosidodecahedron)/(sqrt(5+(2*sqrt(5))))*(45+(17*sqrt(5)))) to evaluate the Surface to Volume Ratio of Icosidodecahedron, Surface to Volume Ratio of Icosidodecahedron given Midsphere Radius formula is defined as the numerical ratio of the total surface area of a Icosidodecahedron to the volume of the Icosidodecahedron, and calculated using the midsphere radius of the Icosidodecahedron. Surface to Volume Ratio of Icosidodecahedron is denoted by R_A/V symbol.

How to evaluate Surface to Volume Ratio of Icosidodecahedron given Midsphere Radius using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Icosidodecahedron given Midsphere Radius, enter Midsphere Radius of Icosidodecahedron (r_m) and hit the calculate button.

FAQs on Surface to Volume Ratio of Icosidodecahedron given Midsphere Radius

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

The formula of Surface to Volume Ratio of Icosidodecahedron given Midsphere Radius is expressed as Surface to Volume Ratio of Icosidodecahedron = (6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/((2*Midsphere Radius of Icosidodecahedron)/(sqrt(5+(2*sqrt(5))))*(45+(17*sqrt(5)))). Here is an example- 0.217302 = (6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/((2*15)/(sqrt(5+(2*sqrt(5))))*(45+(17*sqrt(5)))).

How to calculate Surface to Volume Ratio of Icosidodecahedron given Midsphere Radius?

With Midsphere Radius of Icosidodecahedron (r_m) we can find Surface to Volume Ratio of Icosidodecahedron given Midsphere Radius using the formula - Surface to Volume Ratio of Icosidodecahedron = (6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/((2*Midsphere Radius of Icosidodecahedron)/(sqrt(5+(2*sqrt(5))))*(45+(17*sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

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

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

Surface to Volume Ratio of Icosidodecahedron=(6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Edge Length of Icosidodecahedron*(45+(17*sqrt(5))))
Surface to Volume Ratio of Icosidodecahedron=(6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/((sqrt(Total Surface Area of Icosidodecahedron/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))))*(45+(17*sqrt(5))))
Surface to Volume Ratio of Icosidodecahedron=(6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(((6*Volume of Icosidodecahedron)/(45+(17*sqrt(5))))^(1/3)*(45+(17*sqrt(5))))

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

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

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

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

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