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Volume of Hexakis Octahedron given Surface to Volume Ratio Formula

GoVolume of Hexakis Octahedron given Insphere Radius Formula

GoVolume of Hexakis Octahedron given Midsphere Radius Formula

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Volume of Hexakis Octahedron is the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron. Check FAQs

V = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot ({(\frac{12 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}{R A/V \cdot \sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{3})

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

Volume of Hexakis Octahedron given Surface to Volume Ratio Example

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

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

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

15534.2278 = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot ({(\frac{12 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}{0.2 \cdot \sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{3})

15534.2278m³ = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot ({(\frac{12 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}{0.2m⁻¹ \cdot \sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{3})

15534.2278 = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot ({(\frac{12 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}{0.2 \cdot \sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{3})

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Volume of Hexakis Octahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

V = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot ({(\frac{12 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}{R A/V \cdot \sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{3})

Next Step Substitute values of Variables

∴

V = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot ({(\frac{12 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}{0.2m⁻¹ \cdot \sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{3})

Next Step Prepare to Evaluate

∴

V = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot ({(\frac{12 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}{0.2 \cdot \sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{3})

Next Step Evaluate

∴

V = 15534.2277944593m³

LAST Step Rounding Answer

∴

V = 15534.2278m³

Volume of Hexakis Octahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Volume of Hexakis Octahedron

Volume of Hexakis Octahedron is the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Hexakis Octahedron

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

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 Volume of Hexakis Octahedron

Go Volume of Hexakis Octahedron given Insphere Radius

V = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot ({(\frac{2 \cdot r i}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}})}^{3})

Go Volume of Hexakis Octahedron given Midsphere Radius

V = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot ({(\frac{4 \cdot r m}{1 + (2 \cdot \sqrt{2})})}^{3})

Go Volume of Hexakis Octahedron given Short Edge

V = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot ({(\frac{14 \cdot l e(Short)}{10 - \sqrt{2}})}^{3})

Go Volume of Hexakis Octahedron given Medium Edge

V = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot ({(\frac{14 \cdot l e(Medium)}{3 \cdot (1 + (2 \cdot \sqrt{2}))})}^{3})

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

Volume of Hexakis Octahedron given Surface to Volume Ratio evaluator uses Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((12*sqrt(543+(176*sqrt(2))))/(Surface to Volume Ratio of Hexakis Octahedron*sqrt(6*(986+(607*sqrt(2))))))^3) to evaluate the Volume of Hexakis Octahedron, The Volume of Hexakis Octahedron given Surface to Volume Ratio formula is defined as the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron, calculated using surface to volume ratio of Hexakis Octahedron. Volume of Hexakis Octahedron is denoted by V symbol.

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

FAQs on Volume of Hexakis Octahedron given Surface to Volume Ratio

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

The formula of Volume of Hexakis Octahedron given Surface to Volume Ratio is expressed as Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((12*sqrt(543+(176*sqrt(2))))/(Surface to Volume Ratio of Hexakis Octahedron*sqrt(6*(986+(607*sqrt(2))))))^3). Here is an example- 15534.23 = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((12*sqrt(543+(176*sqrt(2))))/(0.2*sqrt(6*(986+(607*sqrt(2))))))^3).

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

With Surface to Volume Ratio of Hexakis Octahedron (R_A/V) we can find Volume of Hexakis Octahedron given Surface to Volume Ratio using the formula - Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((12*sqrt(543+(176*sqrt(2))))/(Surface to Volume Ratio of Hexakis Octahedron*sqrt(6*(986+(607*sqrt(2))))))^3). This formula also uses Square Root (sqrt) function(s).

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

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

Volume of Hexakis Octahedron=((sqrt(6*(986+(607*sqrt(2)))))/28)*(((2*Insphere Radius of Hexakis Octahedron)/(sqrt((402+(195*sqrt(2)))/194)))^3)
Volume of Hexakis Octahedron=((sqrt(6*(986+(607*sqrt(2)))))/28)*(((4*Midsphere Radius of Hexakis Octahedron)/(1+(2*sqrt(2))))^3)
Volume of Hexakis Octahedron=((sqrt(6*(986+(607*sqrt(2)))))/28)*(((14*Short Edge of Hexakis Octahedron)/(10-sqrt(2)))^3)

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

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

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

Volume of Hexakis Octahedron given Surface to Volume Ratio is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Hexakis Octahedron given Surface to Volume Ratio can be measured.

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