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Surface to Volume Ratio of Icosidodecahedron given Circumsphere 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 c}{1 + \sqrt{5}} \cdot (45 + (17 \cdot \sqrt{5}))}

R_A/V - Surface to Volume Ratio of Icosidodecahedron?r_c - Circumsphere Radius of Icosidodecahedron?

Surface to Volume Ratio of Icosidodecahedron given Circumsphere Radius Example

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

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

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

0.2142 = \frac{6 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{\frac{2 \cdot 16}{1 + \sqrt{5}} \cdot (45 + (17 \cdot \sqrt{5}))}

0.2142m⁻¹ = \frac{6 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{\frac{2 \cdot 16m}{1 + \sqrt{5}} \cdot (45 + (17 \cdot \sqrt{5}))}

0.2142 = \frac{6 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{\frac{2 \cdot 16}{1 + \sqrt{5}} \cdot (45 + (17 \cdot \sqrt{5}))}

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3D Geometry » fx Surface to Volume Ratio of Icosidodecahedron given Circumsphere Radius

Surface to Volume Ratio of Icosidodecahedron given Circumsphere Radius Solution

Follow our step by step solution on how to calculate Surface to Volume Ratio of Icosidodecahedron given Circumsphere 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 c}{1 + \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 16m}{1 + \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 16}{1 + \sqrt{5}} \cdot (45 + (17 \cdot \sqrt{5}))}

Next Step Evaluate

∴

R A/V = 0.214204344920097m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.2142m⁻¹

Surface to Volume Ratio of Icosidodecahedron given Circumsphere 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

Circumsphere Radius of Icosidodecahedron

Circumsphere Radius of Icosidodecahedron is the radius of the sphere that contains the Icosidodecahedron in such a way that all the vertices are lying on the sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere 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 Midsphere Radius

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}))}

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

Surface to Volume Ratio of Icosidodecahedron given Circumsphere Radius evaluator uses Surface to Volume Ratio of Icosidodecahedron = (6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/((2*Circumsphere Radius of Icosidodecahedron)/(1+sqrt(5))*(45+(17*sqrt(5)))) to evaluate the Surface to Volume Ratio of Icosidodecahedron, Surface to Volume Ratio of Icosidodecahedron given Circumsphere 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 circumsphere 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 Circumsphere Radius using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Icosidodecahedron given Circumsphere Radius, enter Circumsphere Radius of Icosidodecahedron (r_c) and hit the calculate button.

FAQs on Surface to Volume Ratio of Icosidodecahedron given Circumsphere Radius

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

The formula of Surface to Volume Ratio of Icosidodecahedron given Circumsphere Radius is expressed as Surface to Volume Ratio of Icosidodecahedron = (6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/((2*Circumsphere Radius of Icosidodecahedron)/(1+sqrt(5))*(45+(17*sqrt(5)))). Here is an example- 0.214204 = (6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/((2*16)/(1+sqrt(5))*(45+(17*sqrt(5)))).

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

With Circumsphere Radius of Icosidodecahedron (r_c) we can find Surface to Volume Ratio of Icosidodecahedron given Circumsphere Radius using the formula - Surface to Volume Ratio of Icosidodecahedron = (6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/((2*Circumsphere Radius of Icosidodecahedron)/(1+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 Circumsphere Radius be negative?

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

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

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

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