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Volume of Triakis Octahedron given Insphere Radius Formula

GoVolume of Triakis Octahedron Formula

GoVolume of Triakis Octahedron given Pyramidal Edge Length 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{r i}{\sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}})}^{3}

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

Volume of Triakis Octahedron given Insphere Radius Example

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

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

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

339.3328 = (2 - \sqrt{2}) \cdot {(\frac{4}{\sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}})}^{3}

339.3328m³ = (2 - \sqrt{2}) \cdot {(\frac{4m}{\sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}})}^{3}

339.3328 = (2 - \sqrt{2}) \cdot {(\frac{4}{\sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}})}^{3}

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Volume of Triakis Octahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = (2 - \sqrt{2}) \cdot {(\frac{4m}{\sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}})}^{3}

Next Step Prepare to Evaluate

∴

V = (2 - \sqrt{2}) \cdot {(\frac{4}{\sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}})}^{3}

Next Step Evaluate

∴

V = 339.332840439944m³

LAST Step Rounding Answer

∴

V = 339.3328m³

Volume of Triakis Octahedron given Insphere Radius 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

Insphere Radius of Triakis Octahedron

Insphere Radius of Triakis Octahedron is the radius of the sphere that is contained by the Triakis Octahedron in such a way that all the faces are touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius 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 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}

How to Evaluate Volume of Triakis Octahedron given Insphere Radius?

Volume of Triakis Octahedron given Insphere Radius evaluator uses Volume of Triakis Octahedron = (2-sqrt(2))*((Insphere Radius of Triakis Octahedron)/(sqrt((5+(2*sqrt(2)))/34)))^3 to evaluate the Volume of Triakis Octahedron, The Volume of Triakis Octahedron given Insphere Radius formula is defined as the quantity of three-dimensional space enclosed by the entire surface of the Triakis Octahedron, calculated using the insphere radius of Triakis Octahedron. Volume of Triakis Octahedron is denoted by V symbol.

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

FAQs on Volume of Triakis Octahedron given Insphere Radius

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

The formula of Volume of Triakis Octahedron given Insphere Radius is expressed as Volume of Triakis Octahedron = (2-sqrt(2))*((Insphere Radius of Triakis Octahedron)/(sqrt((5+(2*sqrt(2)))/34)))^3. Here is an example- 339.3328 = (2-sqrt(2))*((4)/(sqrt((5+(2*sqrt(2)))/34)))^3.

How to calculate Volume of Triakis Octahedron given Insphere Radius?

With Insphere Radius of Triakis Octahedron (r_i) we can find Volume of Triakis Octahedron given Insphere Radius using the formula - Volume of Triakis Octahedron = (2-sqrt(2))*((Insphere Radius of Triakis Octahedron)/(sqrt((5+(2*sqrt(2)))/34)))^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))*((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)

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

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

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

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

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