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Pyramidal Edge Length of Triakis Octahedron given Midsphere Radius Formula

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

GoPyramidal Edge Length of Triakis Octahedron given Insphere 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 2 \cdot r m

l_e(Pyramid) - Pyramidal Edge Length of Triakis Octahedron?r_m - Midsphere Radius of Triakis Octahedron?

Pyramidal Edge Length of Triakis Octahedron given Midsphere Radius Example

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

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

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

5.8579 = (2 - \sqrt{2}) \cdot 2 \cdot 5

5.8579m = (2 - \sqrt{2}) \cdot 2 \cdot 5m

5.8579 = (2 - \sqrt{2}) \cdot 2 \cdot 5

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Pyramidal Edge Length of Triakis Octahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e(Pyramid) = (2 - \sqrt{2}) \cdot 2 \cdot 5m

Next Step Prepare to Evaluate

∴

l e(Pyramid) = (2 - \sqrt{2}) \cdot 2 \cdot 5

Next Step Evaluate

∴

l e(Pyramid) = 5.85786437626905m

LAST Step Rounding Answer

∴

l e(Pyramid) = 5.8579m

Pyramidal Edge Length of Triakis Octahedron given Midsphere 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

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 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 Insphere Radius

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

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 Midsphere Radius?

Pyramidal Edge Length of Triakis Octahedron given Midsphere Radius evaluator uses Pyramidal Edge Length of Triakis Octahedron = (2-sqrt(2))*2*Midsphere Radius of Triakis Octahedron to evaluate the Pyramidal Edge Length of Triakis Octahedron, Pyramidal Edge Length of Triakis Octahedron given Midsphere Radius formula is defined as the length of the line connecting any two adjacent vertices of pyramid of Triakis Octahedron, calculated using the midsphere radius of the 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 Midsphere Radius using this online evaluator? To use this online evaluator for Pyramidal Edge Length of Triakis Octahedron given Midsphere Radius, enter Midsphere Radius of Triakis Octahedron (r_m) and hit the calculate button.

FAQs on Pyramidal Edge Length of Triakis Octahedron given Midsphere Radius

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

The formula of Pyramidal Edge Length of Triakis Octahedron given Midsphere Radius is expressed as Pyramidal Edge Length of Triakis Octahedron = (2-sqrt(2))*2*Midsphere Radius of Triakis Octahedron. Here is an example- 5.857864 = (2-sqrt(2))*2*5.

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

With Midsphere Radius of Triakis Octahedron (r_m) we can find Pyramidal Edge Length of Triakis Octahedron given Midsphere Radius using the formula - Pyramidal Edge Length of Triakis Octahedron = (2-sqrt(2))*2*Midsphere Radius of Triakis Octahedron. 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))*((Insphere Radius of Triakis Octahedron)/(sqrt((5+(2*sqrt(2)))/34)))
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 Midsphere Radius be negative?

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

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

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

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