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Volume of Triakis Octahedron given Pyramidal Edge Length Formula

GoVolume of Triakis Octahedron 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 {(\frac{l e(Pyramid)}{2 - \sqrt{2}})}^{3}

V - Volume of Triakis Octahedron?l_e(Pyramid) - Pyramidal Edge Length of Triakis Octahedron?

Volume of Triakis Octahedron given Pyramidal Edge Length Example

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Here is how the Volume of Triakis Octahedron given Pyramidal Edge Length equation looks like with Values.

Here is how the Volume of Triakis Octahedron given Pyramidal Edge Length equation looks like with Units.

Here is how the Volume of Triakis Octahedron given Pyramidal Edge Length equation looks like.

629.4701 = (2 - \sqrt{2}) \cdot {(\frac{6}{2 - \sqrt{2}})}^{3}

629.4701m³ = (2 - \sqrt{2}) \cdot {(\frac{6m}{2 - \sqrt{2}})}^{3}

629.4701 = (2 - \sqrt{2}) \cdot {(\frac{6}{2 - \sqrt{2}})}^{3}

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Volume of Triakis Octahedron given Pyramidal Edge Length Solution

Follow our step by step solution on how to calculate Volume of Triakis Octahedron given Pyramidal Edge Length?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = (2 - \sqrt{2}) \cdot {(\frac{6m}{2 - \sqrt{2}})}^{3}

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

V = 629.470129472589m³

LAST Step Rounding Answer

∴

V = 629.4701m³

Volume of Triakis Octahedron given Pyramidal Edge Length 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

Pyramidal Edge Length of Triakis Octahedron

Pyramidal Edge Length of Triakis Octahedron is the length of the line connecting any two adjacent vertices of pyramid of Triakis Octahedron.

Symbol: l_e(Pyramid)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pyramidal 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

V = (2 - \sqrt{2}) \cdot {l e(Octahedron)}^{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 given Pyramidal Edge Length?

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

How to evaluate Volume of Triakis Octahedron given Pyramidal Edge Length using this online evaluator? To use this online evaluator for Volume of Triakis Octahedron given Pyramidal Edge Length, enter Pyramidal Edge Length of Triakis Octahedron (l_e(Pyramid)) and hit the calculate button.

FAQs on Volume of Triakis Octahedron given Pyramidal Edge Length

What is the formula to find Volume of Triakis Octahedron given Pyramidal Edge Length?

The formula of Volume of Triakis Octahedron given Pyramidal Edge Length is expressed as Volume of Triakis Octahedron = (2-sqrt(2))*((Pyramidal Edge Length of Triakis Octahedron)/(2-sqrt(2)))^3. Here is an example- 629.4701 = (2-sqrt(2))*((6)/(2-sqrt(2)))^3.

How to calculate Volume of Triakis Octahedron given Pyramidal Edge Length?

With Pyramidal Edge Length of Triakis Octahedron (l_e(Pyramid)) we can find Volume of Triakis Octahedron given Pyramidal Edge Length using the formula - Volume of Triakis Octahedron = (2-sqrt(2))*((Pyramidal Edge Length of Triakis Octahedron)/(2-sqrt(2)))^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))*Octahedral Edge Length of Triakis Octahedron^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 given Pyramidal Edge Length be negative?

No, the Volume of Triakis Octahedron given Pyramidal Edge Length, measured in Volume cannot be negative.

Which unit is used to measure Volume of Triakis Octahedron given Pyramidal Edge Length?

Volume of Triakis Octahedron given Pyramidal Edge Length 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 given Pyramidal Edge Length can be measured.

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