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Pyramidal Edge Length of Triakis Octahedron given Insphere Radius Formula

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

GoPyramidal Edge Length of Triakis Octahedron given Midsphere Radius Formula

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

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

l_e(Pyramid) - Pyramidal Edge Length of Triakis Octahedron?r_i - Insphere Radius of Triakis Octahedron?

Pyramidal Edge Length of Triakis Octahedron given Insphere Radius Example

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

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

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

4.8832 = (2 - \sqrt{2}) \cdot (\frac{4}{\sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}})

4.8832m = (2 - \sqrt{2}) \cdot (\frac{4m}{\sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}})

4.8832 = (2 - \sqrt{2}) \cdot (\frac{4}{\sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}})

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Pyramidal Edge Length of Triakis Octahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

l e(Pyramid) = 4.88316619929638m

LAST Step Rounding Answer

∴

l e(Pyramid) = 4.8832m

Pyramidal Edge Length of Triakis Octahedron given Insphere Radius Formula Elements

Variables

Functions

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

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 Pyramidal Edge Length of Triakis Octahedron

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

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

Go Pyramidal Edge Length of Triakis Octahedron given Midsphere Radius

l e(Pyramid) = (2 - \sqrt{2}) \cdot 2 \cdot r m

Go Pyramidal Edge Length of Triakis Octahedron given Volume

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

Go Pyramidal Edge Length of Triakis Octahedron given Total Surface Area

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

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

Pyramidal Edge Length of Triakis Octahedron given Insphere Radius evaluator uses Pyramidal Edge Length of Triakis Octahedron = (2-sqrt(2))*((Insphere Radius of Triakis Octahedron)/(sqrt((5+(2*sqrt(2)))/34))) to evaluate the Pyramidal Edge Length of Triakis Octahedron, Pyramidal Edge Length of Triakis Octahedron given Insphere Radius formula is defined as the length of the line connecting any two adjacent vertices of the pyramid of Triakis Octahedron, calculated using the insphere radius of Triakis Octahedron. Pyramidal Edge Length of Triakis Octahedron is denoted by l_e(Pyramid) symbol.

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

FAQs on Pyramidal Edge Length of Triakis Octahedron given Insphere Radius

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

The formula of Pyramidal Edge Length of Triakis Octahedron given Insphere Radius is expressed as Pyramidal Edge Length of Triakis Octahedron = (2-sqrt(2))*((Insphere Radius of Triakis Octahedron)/(sqrt((5+(2*sqrt(2)))/34))). Here is an example- 4.883166 = (2-sqrt(2))*((4)/(sqrt((5+(2*sqrt(2)))/34))).

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

With Insphere Radius of Triakis Octahedron (r_i) we can find Pyramidal Edge Length of Triakis Octahedron given Insphere Radius using the formula - Pyramidal Edge Length of Triakis Octahedron = (2-sqrt(2))*((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 Pyramidal Edge Length of Triakis Octahedron?

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

Pyramidal Edge Length of Triakis Octahedron=(2-sqrt(2))*((6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*Surface to Volume Ratio of Triakis Octahedron))
Pyramidal Edge Length of Triakis Octahedron=(2-sqrt(2))*2*Midsphere Radius of Triakis Octahedron
Pyramidal Edge Length of Triakis Octahedron=(2-sqrt(2))*((Volume of Triakis Octahedron)/(2-sqrt(2)))^(1/3)

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

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

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

Pyramidal 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 Pyramidal Edge Length of Triakis Octahedron given Insphere Radius can be measured.

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