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Surface to Volume Ratio of Rhombicosidodecahedron given Midsphere Radius Formula

GoSurface to Volume Ratio of Rhombicosidodecahedron Formula

GoSurface to Volume Ratio of Rhombicosidodecahedron given Total Surface Area Formula

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

R A/V = \frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{\frac{2 \cdot r m}{\sqrt{10 + (4 \cdot \sqrt{5})}} \cdot (60 + (29 \cdot \sqrt{5}))}

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

Surface to Volume Ratio of Rhombicosidodecahedron given Midsphere Radius Example

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

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

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

0.1477 = \frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{\frac{2 \cdot 21}{\sqrt{10 + (4 \cdot \sqrt{5})}} \cdot (60 + (29 \cdot \sqrt{5}))}

0.1477m⁻¹ = \frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{\frac{2 \cdot 21m}{\sqrt{10 + (4 \cdot \sqrt{5})}} \cdot (60 + (29 \cdot \sqrt{5}))}

0.1477 = \frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{\frac{2 \cdot 21}{\sqrt{10 + (4 \cdot \sqrt{5})}} \cdot (60 + (29 \cdot \sqrt{5}))}

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Surface to Volume Ratio of Rhombicosidodecahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

R A/V = \frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{\frac{2 \cdot r m}{\sqrt{10 + (4 \cdot \sqrt{5})}} \cdot (60 + (29 \cdot \sqrt{5}))}

Next Step Substitute values of Variables

∴

R A/V = \frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{\frac{2 \cdot 21m}{\sqrt{10 + (4 \cdot \sqrt{5})}} \cdot (60 + (29 \cdot \sqrt{5}))}

Next Step Prepare to Evaluate

∴

R A/V = \frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{\frac{2 \cdot 21}{\sqrt{10 + (4 \cdot \sqrt{5})}} \cdot (60 + (29 \cdot \sqrt{5}))}

Next Step Evaluate

∴

R A/V = 0.147684493732471m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.1477m⁻¹

Surface to Volume Ratio of Rhombicosidodecahedron given Midsphere Radius Formula Elements

Variables

Functions

Surface to Volume Ratio of Rhombicosidodecahedron

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

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Rhombicosidodecahedron

Midsphere Radius of Rhombicosidodecahedron

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

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 Rhombicosidodecahedron

Go Surface to Volume Ratio of Rhombicosidodecahedron

R A/V = \frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{l e \cdot (60 + (29 \cdot \sqrt{5}))}

Go Surface to Volume Ratio of Rhombicosidodecahedron given Total Surface Area

R A/V = \frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{\sqrt{\frac{TSA}{30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}} \cdot (60 + (29 \cdot \sqrt{5}))}

Go Surface to Volume Ratio of Rhombicosidodecahedron given Volume

R A/V = \frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{{(\frac{3 \cdot V}{60 + (29 \cdot \sqrt{5})})}^{\frac{1}{3}} \cdot (60 + (29 \cdot \sqrt{5}))}

Go Surface to Volume Ratio of Rhombicosidodecahedron given Circumsphere Radius

R A/V = \frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{\frac{2 \cdot r c}{\sqrt{11 + (4 \cdot \sqrt{5})}} \cdot (60 + (29 \cdot \sqrt{5}))}

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

Surface to Volume Ratio of Rhombicosidodecahedron given Midsphere Radius evaluator uses Surface to Volume Ratio of Rhombicosidodecahedron = (3*(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/((2*Midsphere Radius of Rhombicosidodecahedron)/(sqrt(10+(4*sqrt(5))))*(60+(29*sqrt(5)))) to evaluate the Surface to Volume Ratio of Rhombicosidodecahedron, Surface to Volume Ratio of Rhombicosidodecahedron given Midsphere Radius formula is defined as the numerical ratio of the total surface area of a Rhombicosidodecahedron to the volume of the Rhombicosidodecahedron, and calculated using the midsphere radius of the Rhombicosidodecahedron. Surface to Volume Ratio of Rhombicosidodecahedron is denoted by R_A/V symbol.

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

FAQs on Surface to Volume Ratio of Rhombicosidodecahedron given Midsphere Radius

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

The formula of Surface to Volume Ratio of Rhombicosidodecahedron given Midsphere Radius is expressed as Surface to Volume Ratio of Rhombicosidodecahedron = (3*(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/((2*Midsphere Radius of Rhombicosidodecahedron)/(sqrt(10+(4*sqrt(5))))*(60+(29*sqrt(5)))). Here is an example- 0.147684 = (3*(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/((2*21)/(sqrt(10+(4*sqrt(5))))*(60+(29*sqrt(5)))).

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

With Midsphere Radius of Rhombicosidodecahedron (r_m) we can find Surface to Volume Ratio of Rhombicosidodecahedron given Midsphere Radius using the formula - Surface to Volume Ratio of Rhombicosidodecahedron = (3*(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/((2*Midsphere Radius of Rhombicosidodecahedron)/(sqrt(10+(4*sqrt(5))))*(60+(29*sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

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

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

Surface to Volume Ratio of Rhombicosidodecahedron=(3*(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Edge Length of Rhombicosidodecahedron*(60+(29*sqrt(5))))
Surface to Volume Ratio of Rhombicosidodecahedron=(3*(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(sqrt(Total Surface Area of Rhombicosidodecahedron/(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))*(60+(29*sqrt(5))))
Surface to Volume Ratio of Rhombicosidodecahedron=(3*(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(((3*Volume of Rhombicosidodecahedron)/(60+(29*sqrt(5))))^(1/3)*(60+(29*sqrt(5))))

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

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

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

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

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