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Pyramidal Edge Length of Triakis Icosahedron given Insphere Radius Formula

GoPyramidal Edge Length of Triakis Icosahedron Formula

GoPyramidal Edge Length of Triakis Icosahedron given Total Surface Area Formula

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

l e(Pyramid) = (\frac{15 - \sqrt{5}}{22}) \cdot (\frac{4 \cdot r i}{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}})

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

Pyramidal Edge Length of Triakis Icosahedron given Insphere Radius Example

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

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

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

4.3652 = (\frac{15 - \sqrt{5}}{22}) \cdot (\frac{4 \cdot 6}{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}})

4.3652m = (\frac{15 - \sqrt{5}}{22}) \cdot (\frac{4 \cdot 6m}{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}})

4.3652 = (\frac{15 - \sqrt{5}}{22}) \cdot (\frac{4 \cdot 6}{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}})

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Pyramidal Edge Length of Triakis Icosahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

l e(Pyramid) = (\frac{15 - \sqrt{5}}{22}) \cdot (\frac{4 \cdot r i}{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}})

Next Step Substitute values of Variables

∴

l e(Pyramid) = (\frac{15 - \sqrt{5}}{22}) \cdot (\frac{4 \cdot 6m}{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}})

Next Step Prepare to Evaluate

∴

l e(Pyramid) = (\frac{15 - \sqrt{5}}{22}) \cdot (\frac{4 \cdot 6}{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}})

Next Step Evaluate

∴

l e(Pyramid) = 4.36516830910353m

LAST Step Rounding Answer

∴

l e(Pyramid) = 4.3652m

Pyramidal Edge Length of Triakis Icosahedron given Insphere Radius Formula Elements

Variables

Functions

Pyramidal Edge Length of Triakis Icosahedron

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

Symbol: l_e(Pyramid)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pyramidal Edge Length of Triakis Icosahedron

Insphere Radius of Triakis Icosahedron

Insphere Radius of Triakis Icosahedron is the radius of the sphere that is contained by the Triakis Icosahedron in such a way that all the faces just touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Triakis Icosahedron

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 Icosahedron

Go Pyramidal Edge Length of Triakis Icosahedron

l e(Pyramid) = (\frac{15 - \sqrt{5}}{22}) \cdot l e(Icosahedron)

Go Pyramidal Edge Length of Triakis Icosahedron given Total Surface Area

l e(Pyramid) = (\frac{15 - \sqrt{5}}{22}) \cdot (\sqrt{\frac{11 \cdot TSA}{15 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}})

Go Pyramidal Edge Length of Triakis Icosahedron given Volume

l e(Pyramid) = (\frac{15 - \sqrt{5}}{22}) \cdot ({(\frac{44 \cdot V}{5 \cdot (5 + (7 \cdot \sqrt{5}))})}^{\frac{1}{3}})

Go Pyramidal Edge Length of Triakis Icosahedron given Midsphere Radius

l e(Pyramid) = (\frac{15 - \sqrt{5}}{22}) \cdot (\frac{4 \cdot r m}{1 + \sqrt{5}})

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

Pyramidal Edge Length of Triakis Icosahedron given Insphere Radius evaluator uses Pyramidal Edge Length of Triakis Icosahedron = ((15-sqrt(5))/22)*((4*Insphere Radius of Triakis Icosahedron)/(sqrt((10*(33+(13*sqrt(5))))/61))) to evaluate the Pyramidal Edge Length of Triakis Icosahedron, Pyramidal Edge Length of Triakis Icosahedron given Insphere Radius formula is defined as a straight line joining two adjacent vertices of pyramid of Triakis Icosahedron, calculated using insphere radius of Triakis Icosahedron. Pyramidal Edge Length of Triakis Icosahedron is denoted by l_e(Pyramid) symbol.

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

FAQs on Pyramidal Edge Length of Triakis Icosahedron given Insphere Radius

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

The formula of Pyramidal Edge Length of Triakis Icosahedron given Insphere Radius is expressed as Pyramidal Edge Length of Triakis Icosahedron = ((15-sqrt(5))/22)*((4*Insphere Radius of Triakis Icosahedron)/(sqrt((10*(33+(13*sqrt(5))))/61))). Here is an example- 4.365168 = ((15-sqrt(5))/22)*((4*6)/(sqrt((10*(33+(13*sqrt(5))))/61))).

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

With Insphere Radius of Triakis Icosahedron (r_i) we can find Pyramidal Edge Length of Triakis Icosahedron given Insphere Radius using the formula - Pyramidal Edge Length of Triakis Icosahedron = ((15-sqrt(5))/22)*((4*Insphere Radius of Triakis Icosahedron)/(sqrt((10*(33+(13*sqrt(5))))/61))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Pyramidal Edge Length of Triakis Icosahedron?

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

Pyramidal Edge Length of Triakis Icosahedron=((15-sqrt(5))/22)*Icosahedral Edge Length of Triakis Icosahedron
Pyramidal Edge Length of Triakis Icosahedron=((15-sqrt(5))/22)*(sqrt((11*Total Surface Area of Triakis Icosahedron)/(15*(sqrt(109-(30*sqrt(5)))))))
Pyramidal Edge Length of Triakis Icosahedron=((15-sqrt(5))/22)*(((44*Volume of Triakis Icosahedron)/(5*(5+(7*sqrt(5)))))^(1/3))

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

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

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

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

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