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Surface to Volume Ratio of Hexakis Icosahedron given Short Edge 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 \cdot (7 - \sqrt{5})}{44 \cdot l e(Short)})

R_A/V - Surface to Volume Ratio of Hexakis Icosahedron?l_e(Short) - Short Edge of Hexakis Icosahedron?

Surface to Volume Ratio of Hexakis Icosahedron given Short Edge Example

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

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

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

0.2239 = (\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 5})

0.2239m⁻¹ = (\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 5m})

0.2239 = (\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 5})

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Surface to Volume Ratio of Hexakis Icosahedron given Short Edge Solution

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

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 \cdot (7 - \sqrt{5})}{44 \cdot l e(Short)})

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 \cdot (7 - \sqrt{5})}{44 \cdot 5m})

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 \cdot (7 - \sqrt{5})}{44 \cdot 5})

Next Step Evaluate

∴

R A/V = 0.223883158287975m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.2239m⁻¹

Surface to Volume Ratio of Hexakis Icosahedron given Short Edge 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

Short Edge of Hexakis Icosahedron

Short Edge of Hexakis Icosahedron is the length of the shortest edge that connects two adjacent vertices of the Hexakis Icosahedron.

Symbol: l_e(Short)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Edge 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 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})})})

Go Surface to Volume Ratio of Hexakis Icosahedron given Total Surface Area

R A/V = (\frac{6}{5}) \cdot (\sqrt{\frac{10 \cdot (417 + (107 \cdot \sqrt{5}))}{6 \cdot (185 + (82 \cdot \sqrt{5}))}}) \cdot (\sqrt{\frac{15 \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))})}{44 \cdot TSA}})

How to Evaluate Surface to Volume Ratio of Hexakis Icosahedron given Short Edge?

Surface to Volume Ratio of Hexakis Icosahedron given Short Edge evaluator uses 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)) to evaluate the Surface to Volume Ratio of Hexakis Icosahedron, Surface to Volume Ratio of Hexakis Icosahedron given Short Edge formula is defined as what fraction of total volume of Hexakis Icosahedron is the total surface area of Hexakis Icosahedron, calculated using short edge 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 Short Edge using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Hexakis Icosahedron given Short Edge, enter Short Edge of Hexakis Icosahedron (l_e(Short)) and hit the calculate button.

FAQs on Surface to Volume Ratio of Hexakis Icosahedron given Short Edge

What is the formula to find Surface to Volume Ratio of Hexakis Icosahedron given Short Edge?

The formula of Surface to Volume Ratio of Hexakis Icosahedron given Short Edge is expressed as 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)). Here is an example- 0.223883 = (6/5)*(sqrt((10*(417+(107*sqrt(5))))/(6*(185+(82*sqrt(5))))))*((5*(7-sqrt(5)))/(44*5)).

How to calculate Surface to Volume Ratio of Hexakis Icosahedron given Short Edge?

With Short Edge of Hexakis Icosahedron (l_e(Short)) we can find Surface to Volume Ratio of Hexakis Icosahedron given Short Edge using the formula - 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)). 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/(2*Truncated Edge of Hexakis Icosahedron*(sqrt(15*(5-sqrt(5))))))

Can the Surface to Volume Ratio of Hexakis Icosahedron given Short Edge be negative?

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

Which unit is used to measure Surface to Volume Ratio of Hexakis Icosahedron given Short Edge?

Surface to Volume Ratio of Hexakis Icosahedron given Short Edge 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 Short Edge can be measured.

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