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Volume of Hexakis Octahedron given Insphere Radius Formula

GoVolume of Hexakis Octahedron given Midsphere Radius Formula

GoVolume of Hexakis Octahedron given Short Edge 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{2 \cdot r i}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}})}^{3})

V - Volume of Hexakis Octahedron?r_i - Insphere Radius of Hexakis Octahedron?

Volume of Hexakis Octahedron given Insphere Radius Example

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Here is how the Volume of Hexakis Octahedron given Insphere Radius equation looks like with Values.

Here is how the Volume of Hexakis Octahedron given Insphere Radius equation looks like with Units.

Here is how the Volume of Hexakis Octahedron given Insphere Radius equation looks like.

26843.1456 = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot ({(\frac{2 \cdot 18}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}})}^{3})

26843.1456m³ = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot ({(\frac{2 \cdot 18m}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}})}^{3})

26843.1456 = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot ({(\frac{2 \cdot 18}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}})}^{3})

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Volume of Hexakis Octahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

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})

Next Step Substitute values of Variables

∴

V = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot ({(\frac{2 \cdot 18m}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}})}^{3})

Next Step Prepare to Evaluate

∴

V = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot ({(\frac{2 \cdot 18}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}})}^{3})

Next Step Evaluate

∴

V = 26843.1456288257m³

LAST Step Rounding Answer

∴

V = 26843.1456m³

Volume of Hexakis Octahedron given Insphere Radius 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

Insphere Radius of Hexakis Octahedron

Insphere Radius of Hexakis Octahedron is defined as the radius of the sphere that is contained by the Hexakis Octahedron in such a way that all the faces just touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere 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 Volume of Hexakis Octahedron

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})

Go Volume of Hexakis Octahedron given Total Surface Area

V = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot ({(\frac{7 \cdot TSA}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}})}^{\frac{3}{2}})

How to Evaluate Volume of Hexakis Octahedron given Insphere Radius?

Volume of Hexakis Octahedron given Insphere Radius evaluator uses Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((2*Insphere Radius of Hexakis Octahedron)/(sqrt((402+(195*sqrt(2)))/194)))^3) to evaluate the Volume of Hexakis Octahedron, The Volume of Hexakis Octahedron given Insphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron, calculated using insphere radius of Hexakis Octahedron. Volume of Hexakis Octahedron is denoted by V symbol.

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

FAQs on Volume of Hexakis Octahedron given Insphere Radius

What is the formula to find Volume of Hexakis Octahedron given Insphere Radius?

The formula of Volume of Hexakis Octahedron given Insphere Radius is expressed as Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((2*Insphere Radius of Hexakis Octahedron)/(sqrt((402+(195*sqrt(2)))/194)))^3). Here is an example- 26843.15 = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((2*18)/(sqrt((402+(195*sqrt(2)))/194)))^3).

How to calculate Volume of Hexakis Octahedron given Insphere Radius?

With Insphere Radius of Hexakis Octahedron (r_i) we can find Volume of Hexakis Octahedron given Insphere Radius using the formula - Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((2*Insphere Radius of Hexakis Octahedron)/(sqrt((402+(195*sqrt(2)))/194)))^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)*(((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)
Volume of Hexakis Octahedron=((sqrt(6*(986+(607*sqrt(2)))))/28)*(((14*Medium Edge of Hexakis Octahedron)/(3*(1+(2*sqrt(2)))))^3)

Can the Volume of Hexakis Octahedron given Insphere Radius be negative?

No, the Volume of Hexakis Octahedron given Insphere Radius, measured in Volume cannot be negative.

Which unit is used to measure Volume of Hexakis Octahedron given Insphere Radius?

Volume of Hexakis Octahedron given Insphere Radius 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 Insphere Radius can be measured.

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