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Volume of Triakis Octahedron Formula

GoVolume of Triakis Octahedron given Pyramidal Edge Length Formula

GoVolume of Triakis Octahedron given Total Surface Area Formula

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

V = (2 - \sqrt{2}) \cdot {l e(Octahedron)}^{3}

V - Volume of Triakis Octahedron?l_{e(Octahedron)} - Octahedral Edge Length of Triakis Octahedron?

Volume of Triakis Octahedron Example

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Here is how the Volume of Triakis Octahedron equation looks like with Values.

Here is how the Volume of Triakis Octahedron equation looks like with Units.

Here is how the Volume of Triakis Octahedron equation looks like.

585.7864 = (2 - \sqrt{2}) \cdot 10^{3}

585.7864m³ = (2 - \sqrt{2}) \cdot {10m}^{3}

585.7864 = (2 - \sqrt{2}) \cdot 10^{3}

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Volume of Triakis Octahedron Solution

Follow our step by step solution on how to calculate Volume of Triakis Octahedron?

FIRST Step Consider the formula

V = (2 - \sqrt{2}) \cdot {l e(Octahedron)}^{3}

Next Step Substitute values of Variables

∴

V = (2 - \sqrt{2}) \cdot {10m}^{3}

Next Step Prepare to Evaluate

∴

V = (2 - \sqrt{2}) \cdot 10^{3}

Next Step Evaluate

∴

V = 585.786437626905m³

LAST Step Rounding Answer

∴

V = 585.7864m³

Volume of Triakis Octahedron Formula Elements

Variables

Functions

Volume of Triakis Octahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Triakis Octahedron

Octahedral Edge Length of Triakis Octahedron

Octahedral Edge Length of Triakis Octahedron is the length of the line connecting any two adjacent vertices of the octahedron of Triakis Octahedron.

Symbol: l_{e(Octahedron)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Octahedral Edge Length of Triakis 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 Triakis Octahedron

Go Volume of Triakis Octahedron given Pyramidal Edge Length

V = (2 - \sqrt{2}) \cdot {(\frac{l e(Pyramid)}{2 - \sqrt{2}})}^{3}

Go Volume of Triakis Octahedron given Total Surface Area

V = (2 - \sqrt{2}) \cdot {(\frac{TSA}{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}})}^{\frac{3}{2}}

Go Volume of Triakis Octahedron given Midsphere Radius

V = (2 - \sqrt{2}) \cdot {(2 \cdot r m)}^{3}

Go Volume of Triakis Octahedron given Insphere Radius

V = (2 - \sqrt{2}) \cdot {(\frac{r i}{\sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}})}^{3}

How to Evaluate Volume of Triakis Octahedron?

Volume of Triakis Octahedron evaluator uses Volume of Triakis Octahedron = (2-sqrt(2))*Octahedral Edge Length of Triakis Octahedron^3 to evaluate the Volume of Triakis Octahedron, Volume of Triakis Octahedron formula is defined as the quantity of three-dimensional space enclosed by the entire surface of the Triakis Octahedron. Volume of Triakis Octahedron is denoted by V symbol.

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

FAQs on Volume of Triakis Octahedron

What is the formula to find Volume of Triakis Octahedron?

The formula of Volume of Triakis Octahedron is expressed as Volume of Triakis Octahedron = (2-sqrt(2))*Octahedral Edge Length of Triakis Octahedron^3. Here is an example- 585.7864 = (2-sqrt(2))*10^3.

How to calculate Volume of Triakis Octahedron?

With Octahedral Edge Length of Triakis Octahedron (l_{e(Octahedron)}) we can find Volume of Triakis Octahedron using the formula - Volume of Triakis Octahedron = (2-sqrt(2))*Octahedral Edge Length of Triakis Octahedron^3. This formula also uses Square Root (sqrt) function(s).

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

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

Volume of Triakis Octahedron=(2-sqrt(2))*((Pyramidal Edge Length of Triakis Octahedron)/(2-sqrt(2)))^3
Volume of Triakis Octahedron=(2-sqrt(2))*((Total Surface Area of Triakis Octahedron)/(6*sqrt(23-(16*sqrt(2)))))^(3/2)
Volume of Triakis Octahedron=(2-sqrt(2))*(2*Midsphere Radius of Triakis Octahedron)^3

Can the Volume of Triakis Octahedron be negative?

No, the Volume of Triakis Octahedron, measured in Volume cannot be negative.

Which unit is used to measure Volume of Triakis Octahedron?

Volume of Triakis Octahedron 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 Triakis Octahedron can be measured.

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