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Octahedral Edge Length of Triakis Octahedron given Insphere Radius Formula

GoOctahedral Edge Length of Triakis Octahedron given Surface to Volume Ratio Formula

GoOctahedral Edge Length of Triakis Octahedron given Pyramidal Edge Length Formula

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

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

l_{e(Octahedron)} - Octahedral Edge Length of Triakis Octahedron?r_i - Insphere Radius of Triakis Octahedron?

Octahedral Edge Length of Triakis Octahedron given Insphere Radius Example

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

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

Here is how the Octahedral Edge Length of Triakis Octahedron given Insphere Radius equation looks like.

8.3361 = \frac{4}{\sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}}

8.3361m = \frac{4m}{\sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}}

8.3361 = \frac{4}{\sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}}

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Octahedral Edge Length of Triakis Octahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e(Octahedron) = \frac{4m}{\sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}}

Next Step Prepare to Evaluate

∴

l e(Octahedron) = \frac{4}{\sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}}

Next Step Evaluate

∴

l e(Octahedron) = 8.33608613247979m

LAST Step Rounding Answer

∴

l e(Octahedron) = 8.3361m

Octahedral Edge Length of Triakis Octahedron given Insphere Radius Formula Elements

Variables

Functions

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

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 Octahedral Edge Length of Triakis Octahedron

Go Octahedral Edge Length of Triakis Octahedron given Surface to Volume Ratio

l e(Octahedron) = \frac{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}}{(2 - \sqrt{2}) \cdot R A/V}

Go Octahedral Edge Length of Triakis Octahedron given Pyramidal Edge Length

l e(Octahedron) = \frac{l e(Pyramid)}{2 - \sqrt{2}}

Go Octahedral Edge Length of Triakis Octahedron given Total Surface Area

l e(Octahedron) = \sqrt{\frac{TSA}{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}}}

Go Octahedral Edge Length of Triakis Octahedron given Volume

l e(Octahedron) = {(\frac{V}{2 - \sqrt{2}})}^{\frac{1}{3}}

How to Evaluate Octahedral Edge Length of Triakis Octahedron given Insphere Radius?

Octahedral Edge Length of Triakis Octahedron given Insphere Radius evaluator uses Octahedral Edge Length of Triakis Octahedron = (Insphere Radius of Triakis Octahedron)/(sqrt((5+(2*sqrt(2)))/34)) to evaluate the Octahedral Edge Length of Triakis Octahedron, Octahedral Edge Length of Triakis Octahedron given Insphere Radius formula is defined as the length of the line connecting any two adjacent vertices of the octahedron of Triakis Octahedron, calculated using the insphere radius of Triakis Octahedron. Octahedral Edge Length of Triakis Octahedron is denoted by l_{e(Octahedron)} symbol.

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

FAQs on Octahedral Edge Length of Triakis Octahedron given Insphere Radius

What is the formula to find Octahedral Edge Length of Triakis Octahedron given Insphere Radius?

The formula of Octahedral Edge Length of Triakis Octahedron given Insphere Radius is expressed as Octahedral Edge Length of Triakis Octahedron = (Insphere Radius of Triakis Octahedron)/(sqrt((5+(2*sqrt(2)))/34)). Here is an example- 8.336086 = (4)/(sqrt((5+(2*sqrt(2)))/34)).

How to calculate Octahedral Edge Length of Triakis Octahedron given Insphere Radius?

With Insphere Radius of Triakis Octahedron (r_i) we can find Octahedral Edge Length of Triakis Octahedron given Insphere Radius using the formula - Octahedral Edge Length of Triakis Octahedron = (Insphere Radius of Triakis Octahedron)/(sqrt((5+(2*sqrt(2)))/34)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Octahedral Edge Length of Triakis Octahedron?

Here are the different ways to Calculate Octahedral Edge Length of Triakis Octahedron-

Octahedral Edge Length of Triakis Octahedron=(6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*Surface to Volume Ratio of Triakis Octahedron)
Octahedral Edge Length of Triakis Octahedron=Pyramidal Edge Length of Triakis Octahedron/(2-sqrt(2))
Octahedral Edge Length of Triakis Octahedron=sqrt(Total Surface Area of Triakis Octahedron/(6*sqrt(23-(16*sqrt(2)))))

Can the Octahedral Edge Length of Triakis Octahedron given Insphere Radius be negative?

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

Which unit is used to measure Octahedral Edge Length of Triakis Octahedron given Insphere Radius?

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

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