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Volume of Hexakis Octahedron given Truncated Cuboctahedron Edge 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{8}{343}) \cdot ({(60 + (6 \cdot \sqrt{2}))}^{\frac{3}{2}}) \cdot ({l e(Truncated Cuboctahedron)}^{3})

V - Volume of Hexakis Octahedron?l_{e(Truncated Cuboctahedron)} - Truncated Cuboctahedron Edge of Hexakis Octahedron?

Volume of Hexakis Octahedron given Truncated Cuboctahedron Edge Example

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Here is how the Volume of Hexakis Octahedron given Truncated Cuboctahedron Edge equation looks like with Values.

Here is how the Volume of Hexakis Octahedron given Truncated Cuboctahedron Edge equation looks like with Units.

Here is how the Volume of Hexakis Octahedron given Truncated Cuboctahedron Edge equation looks like.

25427.8768 = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot (\frac{8}{343}) \cdot ({(60 + (6 \cdot \sqrt{2}))}^{\frac{3}{2}}) \cdot (8^{3})

25427.8768m³ = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot (\frac{8}{343}) \cdot ({(60 + (6 \cdot \sqrt{2}))}^{\frac{3}{2}}) \cdot ({8m}^{3})

25427.8768 = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot (\frac{8}{343}) \cdot ({(60 + (6 \cdot \sqrt{2}))}^{\frac{3}{2}}) \cdot (8^{3})

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Volume of Hexakis Octahedron given Truncated Cuboctahedron Edge Solution

Follow our step by step solution on how to calculate Volume of Hexakis Octahedron given Truncated Cuboctahedron Edge?

FIRST Step Consider the formula

V = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot (\frac{8}{343}) \cdot ({(60 + (6 \cdot \sqrt{2}))}^{\frac{3}{2}}) \cdot ({l e(Truncated Cuboctahedron)}^{3})

Next Step Substitute values of Variables

∴

V = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot (\frac{8}{343}) \cdot ({(60 + (6 \cdot \sqrt{2}))}^{\frac{3}{2}}) \cdot ({8m}^{3})

Next Step Prepare to Evaluate

∴

V = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot (\frac{8}{343}) \cdot ({(60 + (6 \cdot \sqrt{2}))}^{\frac{3}{2}}) \cdot (8^{3})

Next Step Evaluate

∴

V = 25427.8767895205m³

LAST Step Rounding Answer

∴

V = 25427.8768m³

Volume of Hexakis Octahedron given Truncated Cuboctahedron Edge 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

Truncated Cuboctahedron Edge of Hexakis Octahedron

Truncated Cuboctahedron Edge of Hexakis Octahedron is the length of the edges of a Hexakis Octahedron that is created by truncating the vertices of a Cuboctahedron.

Symbol: l_{e(Truncated Cuboctahedron)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Truncated Cuboctahedron Edge 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 Truncated Cuboctahedron Edge?

Volume of Hexakis Octahedron given Truncated Cuboctahedron Edge evaluator uses Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(8/343)*((60+(6*sqrt(2)))^(3/2))*(Truncated Cuboctahedron Edge of Hexakis Octahedron^3) to evaluate the Volume of Hexakis Octahedron, The Volume of Hexakis Octahedron given Truncated Cuboctahedron Edge formula is defined as the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron, calculated using truncated cuboctahedron edge of Hexakis Octahedron. Volume of Hexakis Octahedron is denoted by V symbol.

How to evaluate Volume of Hexakis Octahedron given Truncated Cuboctahedron Edge using this online evaluator? To use this online evaluator for Volume of Hexakis Octahedron given Truncated Cuboctahedron Edge, enter Truncated Cuboctahedron Edge of Hexakis Octahedron (l_{e(Truncated Cuboctahedron)}) and hit the calculate button.

FAQs on Volume of Hexakis Octahedron given Truncated Cuboctahedron Edge

What is the formula to find Volume of Hexakis Octahedron given Truncated Cuboctahedron Edge?

The formula of Volume of Hexakis Octahedron given Truncated Cuboctahedron Edge is expressed as Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(8/343)*((60+(6*sqrt(2)))^(3/2))*(Truncated Cuboctahedron Edge of Hexakis Octahedron^3). Here is an example- 25427.88 = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(8/343)*((60+(6*sqrt(2)))^(3/2))*(8^3).

How to calculate Volume of Hexakis Octahedron given Truncated Cuboctahedron Edge?

With Truncated Cuboctahedron Edge of Hexakis Octahedron (l_{e(Truncated Cuboctahedron)}) we can find Volume of Hexakis Octahedron given Truncated Cuboctahedron Edge using the formula - Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(8/343)*((60+(6*sqrt(2)))^(3/2))*(Truncated Cuboctahedron Edge of Hexakis Octahedron^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 Truncated Cuboctahedron Edge be negative?

No, the Volume of Hexakis Octahedron given Truncated Cuboctahedron Edge, measured in Volume cannot be negative.

Which unit is used to measure Volume of Hexakis Octahedron given Truncated Cuboctahedron Edge?

Volume of Hexakis Octahedron given Truncated Cuboctahedron Edge 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 Truncated Cuboctahedron Edge can be measured.

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