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Volume of Triakis Octahedron given Midsphere 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 {(2 \cdot r m)}^{3}

V - Volume of Triakis Octahedron?r_m - Midsphere Radius of Triakis Octahedron?

Volume of Triakis Octahedron given Midsphere Radius Example

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

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

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

585.7864 = (2 - \sqrt{2}) \cdot {(2 \cdot 5)}^{3}

585.7864m³ = (2 - \sqrt{2}) \cdot {(2 \cdot 5m)}^{3}

585.7864 = (2 - \sqrt{2}) \cdot {(2 \cdot 5)}^{3}

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Volume of Triakis Octahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = (2 - \sqrt{2}) \cdot {(2 \cdot 5m)}^{3}

Next Step Prepare to Evaluate

∴

V = (2 - \sqrt{2}) \cdot {(2 \cdot 5)}^{3}

Next Step Evaluate

∴

V = 585.786437626905m³

LAST Step Rounding Answer

∴

V = 585.7864m³

Volume of Triakis Octahedron given Midsphere 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

Midsphere Radius of Triakis Octahedron

Midsphere Radius of Triakis Octahedron is the radius of the sphere for which all the edges of the Triakis Octahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere 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 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 Midsphere Radius?

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

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

FAQs on Volume of Triakis Octahedron given Midsphere Radius

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

The formula of Volume of Triakis Octahedron given Midsphere Radius is expressed as Volume of Triakis Octahedron = (2-sqrt(2))*(2*Midsphere Radius of Triakis Octahedron)^3. Here is an example- 585.7864 = (2-sqrt(2))*(2*5)^3.

How to calculate Volume of Triakis Octahedron given Midsphere Radius?

With Midsphere Radius of Triakis Octahedron (r_m) we can find Volume of Triakis Octahedron given Midsphere Radius using the formula - Volume of Triakis Octahedron = (2-sqrt(2))*(2*Midsphere Radius 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))*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 Midsphere Radius be negative?

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

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

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

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