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Surface to Volume Ratio of Hexakis Octahedron given Midsphere Radius Formula

GoSurface to Volume Ratio of Hexakis Octahedron given Truncated Cuboctahedron Edge Formula

GoSurface to Volume Ratio of Hexakis Octahedron given Insphere Radius Formula

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

R A/V = (\frac{12 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}) \cdot (\frac{1 + (2 \cdot \sqrt{2})}{4 \cdot r m})

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

Surface to Volume Ratio of Hexakis Octahedron given Midsphere Radius Example

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

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

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

0.1617 = (\frac{12 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}) \cdot (\frac{1 + (2 \cdot \sqrt{2})}{4 \cdot 19})

0.1617m⁻¹ = (\frac{12 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}) \cdot (\frac{1 + (2 \cdot \sqrt{2})}{4 \cdot 19m})

0.1617 = (\frac{12 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}) \cdot (\frac{1 + (2 \cdot \sqrt{2})}{4 \cdot 19})

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Surface to Volume Ratio of Hexakis Octahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

R A/V = (\frac{12 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}) \cdot (\frac{1 + (2 \cdot \sqrt{2})}{4 \cdot r m})

Next Step Substitute values of Variables

∴

R A/V = (\frac{12 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}) \cdot (\frac{1 + (2 \cdot \sqrt{2})}{4 \cdot 19m})

Next Step Prepare to Evaluate

∴

R A/V = (\frac{12 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}) \cdot (\frac{1 + (2 \cdot \sqrt{2})}{4 \cdot 19})

Next Step Evaluate

∴

R A/V = 0.161702677024354m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.1617m⁻¹

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

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Surface to Volume Ratio of Hexakis Octahedron

Surface to Volume Ratio of Hexakis Octahedron is what part of or fraction of total volume of Hexakis Octahedron 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 Octahedron

Midsphere Radius of Hexakis Octahedron

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

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 Octahedron

Go Surface to Volume Ratio of Hexakis Octahedron given Truncated Cuboctahedron Edge

R A/V = (\frac{12 \cdot (\sqrt{543 + (176 \cdot \sqrt{2})})}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}) \cdot (\frac{7}{2 \cdot (\sqrt{60 + (6 \cdot \sqrt{2})}) \cdot (l e(Truncated Cuboctahedron))})

Go Surface to Volume Ratio of Hexakis Octahedron given Insphere Radius

R A/V = (\frac{12 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}) \cdot (\frac{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}{2 \cdot r i})

Go Surface to Volume Ratio of Hexakis Octahedron given Medium Edge

R A/V = (\frac{12 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}) \cdot (\frac{3 \cdot (1 + (2 \cdot \sqrt{2}))}{14 \cdot l e(Medium)})

Go Surface to Volume Ratio of Hexakis Octahedron given Short Edge

R A/V = (\frac{12 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}) \cdot (\frac{10 - \sqrt{2}}{14 \cdot l e(Short)})

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

Surface to Volume Ratio of Hexakis Octahedron given Midsphere Radius evaluator uses Surface to Volume Ratio of Hexakis Octahedron = ((12*sqrt(543+(176*sqrt(2))))/(sqrt(6*(986+(607*sqrt(2))))))*((1+(2*sqrt(2)))/(4*Midsphere Radius of Hexakis Octahedron)) to evaluate the Surface to Volume Ratio of Hexakis Octahedron, The Surface to Volume Ratio of Hexakis Octahedron given Midsphere Radius formula is defined as what part of or fraction of total volume of Hexakis Octahedron is the total surface area, calculated using midsphere radius of Hexakis Octahedron. Surface to Volume Ratio of Hexakis Octahedron is denoted by R_A/V symbol.

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

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

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

The formula of Surface to Volume Ratio of Hexakis Octahedron given Midsphere Radius is expressed as Surface to Volume Ratio of Hexakis Octahedron = ((12*sqrt(543+(176*sqrt(2))))/(sqrt(6*(986+(607*sqrt(2))))))*((1+(2*sqrt(2)))/(4*Midsphere Radius of Hexakis Octahedron)). Here is an example- 0.161703 = ((12*sqrt(543+(176*sqrt(2))))/(sqrt(6*(986+(607*sqrt(2))))))*((1+(2*sqrt(2)))/(4*19)).

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

With Midsphere Radius of Hexakis Octahedron (r_m) we can find Surface to Volume Ratio of Hexakis Octahedron given Midsphere Radius using the formula - Surface to Volume Ratio of Hexakis Octahedron = ((12*sqrt(543+(176*sqrt(2))))/(sqrt(6*(986+(607*sqrt(2))))))*((1+(2*sqrt(2)))/(4*Midsphere Radius of Hexakis Octahedron)). This formula also uses Square Root (sqrt) function(s).

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

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

Surface to Volume Ratio of Hexakis Octahedron=((12*(sqrt(543+(176*sqrt(2)))))/(sqrt(6*(986+(607*sqrt(2))))))*(7/(2*(sqrt(60+(6*sqrt(2))))*(Truncated Cuboctahedron Edge of Hexakis Octahedron)))
Surface to Volume Ratio of Hexakis Octahedron=((12*sqrt(543+(176*sqrt(2))))/(sqrt(6*(986+(607*sqrt(2))))))*((sqrt((402+(195*sqrt(2)))/194))/(2*Insphere Radius of Hexakis Octahedron))
Surface to Volume Ratio of Hexakis Octahedron=((12*sqrt(543+(176*sqrt(2))))/(sqrt(6*(986+(607*sqrt(2))))))*((3*(1+(2*sqrt(2))))/(14*Medium Edge of Hexakis Octahedron))

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

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

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

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

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