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Pyramidal Edge Length of Triakis Icosahedron given Surface to Volume Ratio 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{12 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}{(5 + (7 \cdot \sqrt{5})) \cdot R A/V})

l_e(Pyramid) - Pyramidal Edge Length of Triakis Icosahedron?R_A/V - Surface to Volume Ratio of Triakis Icosahedron?

Pyramidal Edge Length of Triakis Icosahedron given Surface to Volume Ratio Example

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Here is how the Pyramidal Edge Length of Triakis Icosahedron given Surface to Volume Ratio equation looks like with Values.

Here is how the Pyramidal Edge Length of Triakis Icosahedron given Surface to Volume Ratio equation looks like with Units.

Here is how the Pyramidal Edge Length of Triakis Icosahedron given Surface to Volume Ratio equation looks like.

4.3652 = (\frac{15 - \sqrt{5}}{22}) \cdot (\frac{12 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}{(5 + (7 \cdot \sqrt{5})) \cdot 0.5})

4.3652m = (\frac{15 - \sqrt{5}}{22}) \cdot (\frac{12 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}{(5 + (7 \cdot \sqrt{5})) \cdot 0.5m⁻¹})

4.3652 = (\frac{15 - \sqrt{5}}{22}) \cdot (\frac{12 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}{(5 + (7 \cdot \sqrt{5})) \cdot 0.5})

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Pyramidal Edge Length of Triakis Icosahedron given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Pyramidal Edge Length of Triakis Icosahedron given Surface to Volume Ratio?

FIRST Step Consider the formula

l e(Pyramid) = (\frac{15 - \sqrt{5}}{22}) \cdot (\frac{12 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}{(5 + (7 \cdot \sqrt{5})) \cdot R A/V})

Next Step Substitute values of Variables

∴

l e(Pyramid) = (\frac{15 - \sqrt{5}}{22}) \cdot (\frac{12 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}{(5 + (7 \cdot \sqrt{5})) \cdot 0.5m⁻¹})

Next Step Prepare to Evaluate

∴

l e(Pyramid) = (\frac{15 - \sqrt{5}}{22}) \cdot (\frac{12 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}{(5 + (7 \cdot \sqrt{5})) \cdot 0.5})

Next Step Evaluate

∴

l e(Pyramid) = 4.36516830910353m

LAST Step Rounding Answer

∴

l e(Pyramid) = 4.3652m

Pyramidal Edge Length of Triakis Icosahedron given Surface to Volume Ratio 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

Surface to Volume Ratio of Triakis Icosahedron

Surface to Volume Ratio of Triakis Icosahedron is what part of or fraction of total volume of Triakis Icosahedron is the total surface area.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio 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 Surface to Volume Ratio?

Pyramidal Edge Length of Triakis Icosahedron given Surface to Volume Ratio evaluator uses Pyramidal Edge Length of Triakis Icosahedron = ((15-sqrt(5))/22)*((12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*Surface to Volume Ratio of Triakis Icosahedron)) to evaluate the Pyramidal Edge Length of Triakis Icosahedron, Pyramidal Edge Length of Triakis Icosahedron given Surface to Volume Ratio formula is defined as a straight line joining two adjacent vertices of pyramid of Triakis Icosahedron, calculated using surface to volume ratio 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 Surface to Volume Ratio using this online evaluator? To use this online evaluator for Pyramidal Edge Length of Triakis Icosahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Triakis Icosahedron (R_A/V) and hit the calculate button.

FAQs on Pyramidal Edge Length of Triakis Icosahedron given Surface to Volume Ratio

What is the formula to find Pyramidal Edge Length of Triakis Icosahedron given Surface to Volume Ratio?

The formula of Pyramidal Edge Length of Triakis Icosahedron given Surface to Volume Ratio is expressed as Pyramidal Edge Length of Triakis Icosahedron = ((15-sqrt(5))/22)*((12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*Surface to Volume Ratio of Triakis Icosahedron)). Here is an example- 4.365168 = ((15-sqrt(5))/22)*((12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*0.5)).

How to calculate Pyramidal Edge Length of Triakis Icosahedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Triakis Icosahedron (R_A/V) we can find Pyramidal Edge Length of Triakis Icosahedron given Surface to Volume Ratio using the formula - Pyramidal Edge Length of Triakis Icosahedron = ((15-sqrt(5))/22)*((12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*Surface to Volume Ratio of Triakis Icosahedron)). 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 Surface to Volume Ratio be negative?

No, the Pyramidal Edge Length of Triakis Icosahedron given Surface to Volume Ratio, measured in Length cannot be negative.

Which unit is used to measure Pyramidal Edge Length of Triakis Icosahedron given Surface to Volume Ratio?

Pyramidal Edge Length of Triakis Icosahedron given Surface to Volume Ratio 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 Surface to Volume Ratio can be measured.

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