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Insphere Radius of Triakis Octahedron given Volume Formula

GoInsphere Radius of Triakis Octahedron Formula

GoInsphere Radius of Triakis Octahedron given Pyramidal Edge Length Formula

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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. Check FAQs

r i = {(\frac{V}{2 - \sqrt{2}})}^{\frac{1}{3}} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}

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

Insphere Radius of Triakis Octahedron given Volume Example

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

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

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

4.7963 = {(\frac{585}{2 - \sqrt{2}})}^{\frac{1}{3}} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}

4.7963m = {(\frac{585m³}{2 - \sqrt{2}})}^{\frac{1}{3}} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}

4.7963 = {(\frac{585}{2 - \sqrt{2}})}^{\frac{1}{3}} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}

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Insphere Radius of Triakis Octahedron given Volume Solution

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

FIRST Step Consider the formula

r i = {(\frac{V}{2 - \sqrt{2}})}^{\frac{1}{3}} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}

Next Step Substitute values of Variables

∴

r i = {(\frac{585m³}{2 - \sqrt{2}})}^{\frac{1}{3}} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}

Next Step Prepare to Evaluate

∴

r i = {(\frac{585}{2 - \sqrt{2}})}^{\frac{1}{3}} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}

Next Step Evaluate

∴

r i = 4.79626660616137m

LAST Step Rounding Answer

∴

r i = 4.7963m

Insphere Radius of Triakis Octahedron given Volume Formula Elements

Variables

Functions

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

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

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 Insphere Radius of Triakis Octahedron

Go Insphere Radius of Triakis Octahedron

r i = l e(Octahedron) \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}

Go Insphere Radius of Triakis Octahedron given Pyramidal Edge Length

r i = \frac{l e(Pyramid)}{2 - \sqrt{2}} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}

Go Insphere Radius of Triakis Octahedron given Total Surface Area

r i = \sqrt{\frac{TSA}{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}}} \cdot (\sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}})

Go Insphere Radius of Triakis Octahedron given Midsphere Radius

r i = 2 \cdot r m \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}

How to Evaluate Insphere Radius of Triakis Octahedron given Volume?

Insphere Radius of Triakis Octahedron given Volume evaluator uses Insphere Radius of Triakis Octahedron = (Volume of Triakis Octahedron/(2-sqrt(2)))^(1/3)*sqrt((5+(2*sqrt(2)))/34) to evaluate the Insphere Radius of Triakis Octahedron, Insphere Radius of Triakis Octahedron given Volume formula is defined as the radius of the sphere that is contained by the Triakis Octahedron in such a way that all the faces are touching the sphere, calculated using the volume of the Triakis Octahedron. Insphere Radius of Triakis Octahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Triakis Octahedron given Volume

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

The formula of Insphere Radius of Triakis Octahedron given Volume is expressed as Insphere Radius of Triakis Octahedron = (Volume of Triakis Octahedron/(2-sqrt(2)))^(1/3)*sqrt((5+(2*sqrt(2)))/34). Here is an example- 4.796267 = (585/(2-sqrt(2)))^(1/3)*sqrt((5+(2*sqrt(2)))/34).

How to calculate Insphere Radius of Triakis Octahedron given Volume?

With Volume of Triakis Octahedron (V) we can find Insphere Radius of Triakis Octahedron given Volume using the formula - Insphere Radius of Triakis Octahedron = (Volume of Triakis Octahedron/(2-sqrt(2)))^(1/3)*sqrt((5+(2*sqrt(2)))/34). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Insphere Radius of Triakis Octahedron?

Here are the different ways to Calculate Insphere Radius of Triakis Octahedron-

Insphere Radius of Triakis Octahedron=Octahedral Edge Length of Triakis Octahedron*sqrt((5+(2*sqrt(2)))/34)
Insphere Radius of Triakis Octahedron=Pyramidal Edge Length of Triakis Octahedron/(2-sqrt(2))*sqrt((5+(2*sqrt(2)))/34)
Insphere Radius of Triakis Octahedron=sqrt(Total Surface Area of Triakis Octahedron/(6*sqrt(23-(16*sqrt(2)))))*(sqrt((5+(2*sqrt(2)))/34))

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

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

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

Insphere Radius of Triakis Octahedron given Volume is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Insphere Radius of Triakis Octahedron given Volume can be measured.

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