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Surface to Volume Ratio of Hexakis Icosahedron given Midsphere Radius Formula

GoSurface to Volume Ratio of Hexakis Icosahedron Formula

GoSurface to Volume Ratio of Hexakis Icosahedron given Medium Edge Formula

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Surface to Volume Ratio of Hexakis Icosahedron is what part of or fraction of total volume of Hexakis Icosahedron is the total surface area. Check FAQs

R A/V = (\frac{6}{5}) \cdot (\sqrt{\frac{10 \cdot (417 + (107 \cdot \sqrt{5}))}{6 \cdot (185 + (82 \cdot \sqrt{5}))}}) \cdot (\frac{5 + (3 \cdot \sqrt{5})}{8 \cdot r m})

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

Surface to Volume Ratio of Hexakis Icosahedron given Midsphere Radius Example

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

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

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

0.2018 = (\frac{6}{5}) \cdot (\sqrt{\frac{10 \cdot (417 + (107 \cdot \sqrt{5}))}{6 \cdot (185 + (82 \cdot \sqrt{5}))}}) \cdot (\frac{5 + (3 \cdot \sqrt{5})}{8 \cdot 15})

0.2018m⁻¹ = (\frac{6}{5}) \cdot (\sqrt{\frac{10 \cdot (417 + (107 \cdot \sqrt{5}))}{6 \cdot (185 + (82 \cdot \sqrt{5}))}}) \cdot (\frac{5 + (3 \cdot \sqrt{5})}{8 \cdot 15m})

0.2018 = (\frac{6}{5}) \cdot (\sqrt{\frac{10 \cdot (417 + (107 \cdot \sqrt{5}))}{6 \cdot (185 + (82 \cdot \sqrt{5}))}}) \cdot (\frac{5 + (3 \cdot \sqrt{5})}{8 \cdot 15})

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Surface to Volume Ratio of Hexakis Icosahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

R A/V = (\frac{6}{5}) \cdot (\sqrt{\frac{10 \cdot (417 + (107 \cdot \sqrt{5}))}{6 \cdot (185 + (82 \cdot \sqrt{5}))}}) \cdot (\frac{5 + (3 \cdot \sqrt{5})}{8 \cdot r m})

Next Step Substitute values of Variables

∴

R A/V = (\frac{6}{5}) \cdot (\sqrt{\frac{10 \cdot (417 + (107 \cdot \sqrt{5}))}{6 \cdot (185 + (82 \cdot \sqrt{5}))}}) \cdot (\frac{5 + (3 \cdot \sqrt{5})}{8 \cdot 15m})

Next Step Prepare to Evaluate

∴

R A/V = (\frac{6}{5}) \cdot (\sqrt{\frac{10 \cdot (417 + (107 \cdot \sqrt{5}))}{6 \cdot (185 + (82 \cdot \sqrt{5}))}}) \cdot (\frac{5 + (3 \cdot \sqrt{5})}{8 \cdot 15})

Next Step Evaluate

∴

R A/V = 0.201751874158996m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.2018m⁻¹

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

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Functions

Surface to Volume Ratio of Hexakis Icosahedron

Surface to Volume Ratio of Hexakis Icosahedron is what part of or fraction of total volume of Hexakis Icosahedron is the total surface area.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Hexakis Icosahedron

Midsphere Radius of Hexakis Icosahedron

Midsphere Radius of Hexakis Icosahedron is defined as the radius of the sphere for which all the edges of the Hexakis 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 Hexakis 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 Hexakis Icosahedron

Go Surface to Volume Ratio of Hexakis Icosahedron

R A/V = (\frac{6}{5}) \cdot (\sqrt{\frac{10 \cdot (417 + (107 \cdot \sqrt{5}))}{6 \cdot (185 + (82 \cdot \sqrt{5}))}}) \cdot (\frac{1}{l e(Long)})

Go Surface to Volume Ratio of Hexakis Icosahedron given Medium Edge

R A/V = (\frac{6}{5}) \cdot (\sqrt{\frac{10 \cdot (417 + (107 \cdot \sqrt{5}))}{6 \cdot (185 + (82 \cdot \sqrt{5}))}}) \cdot (\frac{3 \cdot (4 + \sqrt{5})}{22 \cdot l e(Medium)})

Go Surface to Volume Ratio of Hexakis Icosahedron given Short Edge

R A/V = (\frac{6}{5}) \cdot (\sqrt{\frac{10 \cdot (417 + (107 \cdot \sqrt{5}))}{6 \cdot (185 + (82 \cdot \sqrt{5}))}}) \cdot (\frac{5 \cdot (7 - \sqrt{5})}{44 \cdot l e(Short)})

Go Surface to Volume Ratio of Hexakis Icosahedron given Truncated Icosidodecahedron Edge

R A/V = (\frac{6}{5}) \cdot (\sqrt{\frac{10 \cdot (417 + (107 \cdot \sqrt{5}))}{6 \cdot (185 + (82 \cdot \sqrt{5}))}}) \cdot (\frac{5}{2 \cdot l e(Truncated Icosidodecahedron) \cdot (\sqrt{15 \cdot (5 - \sqrt{5})})})

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

Surface to Volume Ratio of Hexakis Icosahedron given Midsphere Radius evaluator uses Surface to Volume Ratio of Hexakis Icosahedron = (6/5)*(sqrt((10*(417+(107*sqrt(5))))/(6*(185+(82*sqrt(5))))))*((5+(3*sqrt(5)))/(8*Midsphere Radius of Hexakis Icosahedron)) to evaluate the Surface to Volume Ratio of Hexakis Icosahedron, Surface to Volume Ratio of Hexakis Icosahedron given Midsphere Radius formula is defined as what fraction of total volume of Hexakis Icosahedron is the total surface area of Hexakis Icosahedron, calculated using midsphere radius of Hexakis Icosahedron. Surface to Volume Ratio of Hexakis Icosahedron is denoted by R_A/V symbol.

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

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

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

The formula of Surface to Volume Ratio of Hexakis Icosahedron given Midsphere Radius is expressed as Surface to Volume Ratio of Hexakis Icosahedron = (6/5)*(sqrt((10*(417+(107*sqrt(5))))/(6*(185+(82*sqrt(5))))))*((5+(3*sqrt(5)))/(8*Midsphere Radius of Hexakis Icosahedron)). Here is an example- 0.201752 = (6/5)*(sqrt((10*(417+(107*sqrt(5))))/(6*(185+(82*sqrt(5))))))*((5+(3*sqrt(5)))/(8*15)).

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

With Midsphere Radius of Hexakis Icosahedron (r_m) we can find Surface to Volume Ratio of Hexakis Icosahedron given Midsphere Radius using the formula - Surface to Volume Ratio of Hexakis Icosahedron = (6/5)*(sqrt((10*(417+(107*sqrt(5))))/(6*(185+(82*sqrt(5))))))*((5+(3*sqrt(5)))/(8*Midsphere Radius of Hexakis Icosahedron)). This formula also uses Square Root (sqrt) function(s).

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

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

Surface to Volume Ratio of Hexakis Icosahedron=(6/5)*(sqrt((10*(417+(107*sqrt(5))))/(6*(185+(82*sqrt(5))))))*(1/Long Edge of Hexakis Icosahedron)
Surface to Volume Ratio of Hexakis Icosahedron=(6/5)*(sqrt((10*(417+(107*sqrt(5))))/(6*(185+(82*sqrt(5))))))*((3*(4+sqrt(5)))/(22*Medium Edge of Hexakis Icosahedron))
Surface to Volume Ratio of Hexakis Icosahedron=(6/5)*(sqrt((10*(417+(107*sqrt(5))))/(6*(185+(82*sqrt(5))))))*((5*(7-sqrt(5)))/(44*Short Edge of Hexakis Icosahedron))

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

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

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

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

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