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Pyramidal Edge Length of Triakis Icosahedron given Midsphere 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 m}{1 + \sqrt{5}})

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

Pyramidal Edge Length of Triakis Icosahedron given Midsphere Radius Example

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

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

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

5.02 = (\frac{15 - \sqrt{5}}{22}) \cdot (\frac{4 \cdot 7}{1 + \sqrt{5}})

5.02m = (\frac{15 - \sqrt{5}}{22}) \cdot (\frac{4 \cdot 7m}{1 + \sqrt{5}})

5.02 = (\frac{15 - \sqrt{5}}{22}) \cdot (\frac{4 \cdot 7}{1 + \sqrt{5}})

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Pyramidal Edge Length of Triakis Icosahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e(Pyramid) = (\frac{15 - \sqrt{5}}{22}) \cdot (\frac{4 \cdot 7m}{1 + \sqrt{5}})

Next Step Prepare to Evaluate

∴

l e(Pyramid) = (\frac{15 - \sqrt{5}}{22}) \cdot (\frac{4 \cdot 7}{1 + \sqrt{5}})

Next Step Evaluate

∴

l e(Pyramid) = 5.01998243090802m

LAST Step Rounding Answer

∴

l e(Pyramid) = 5.02m

Pyramidal Edge Length of Triakis Icosahedron given Midsphere 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

Midsphere Radius of Triakis Icosahedron

Midsphere Radius of Triakis Icosahedron is the radius of the sphere for which all the edges of the Triakis Icosahedron 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 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 Insphere Radius

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

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

Pyramidal Edge Length of Triakis Icosahedron given Midsphere Radius evaluator uses Pyramidal Edge Length of Triakis Icosahedron = ((15-sqrt(5))/22)*((4*Midsphere Radius of Triakis Icosahedron)/(1+sqrt(5))) to evaluate the Pyramidal Edge Length of Triakis Icosahedron, Pyramidal Edge Length of Triakis Icosahedron given Midsphere Radius formula is defined as a straight line joining two adjacent vertices of pyramid of Triakis Icosahedron, calculated using midsphere 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 Midsphere Radius using this online evaluator? To use this online evaluator for Pyramidal Edge Length of Triakis Icosahedron given Midsphere Radius, enter Midsphere Radius of Triakis Icosahedron (r_m) and hit the calculate button.

FAQs on Pyramidal Edge Length of Triakis Icosahedron given Midsphere Radius

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

The formula of Pyramidal Edge Length of Triakis Icosahedron given Midsphere Radius is expressed as Pyramidal Edge Length of Triakis Icosahedron = ((15-sqrt(5))/22)*((4*Midsphere Radius of Triakis Icosahedron)/(1+sqrt(5))). Here is an example- 5.019982 = ((15-sqrt(5))/22)*((4*7)/(1+sqrt(5))).

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

With Midsphere Radius of Triakis Icosahedron (r_m) we can find Pyramidal Edge Length of Triakis Icosahedron given Midsphere Radius using the formula - Pyramidal Edge Length of Triakis Icosahedron = ((15-sqrt(5))/22)*((4*Midsphere Radius of Triakis Icosahedron)/(1+sqrt(5))). 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 Midsphere Radius be negative?

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

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

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

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