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Pyramidal Edge Length of Triakis Icosahedron given Total Surface Area Formula

GoPyramidal Edge Length of Triakis Icosahedron Formula

GoPyramidal Edge Length of Triakis Icosahedron given Volume 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 (\sqrt{\frac{11 \cdot TSA}{15 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}})

l_e(Pyramid) - Pyramidal Edge Length of Triakis Icosahedron?TSA - Total Surface Area of Triakis Icosahedron?

Pyramidal Edge Length of Triakis Icosahedron given Total Surface Area Example

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Here is how the Pyramidal Edge Length of Triakis Icosahedron given Total Surface Area equation looks like with Values.

Here is how the Pyramidal Edge Length of Triakis Icosahedron given Total Surface Area equation looks like with Units.

Here is how the Pyramidal Edge Length of Triakis Icosahedron given Total Surface Area equation looks like.

4.6618 = (\frac{15 - \sqrt{5}}{22}) \cdot (\sqrt{\frac{11 \cdot 570}{15 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}})

4.6618m = (\frac{15 - \sqrt{5}}{22}) \cdot (\sqrt{\frac{11 \cdot 570m²}{15 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}})

4.6618 = (\frac{15 - \sqrt{5}}{22}) \cdot (\sqrt{\frac{11 \cdot 570}{15 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}})

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Pyramidal Edge Length of Triakis Icosahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e(Pyramid) = (\frac{15 - \sqrt{5}}{22}) \cdot (\sqrt{\frac{11 \cdot 570m²}{15 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}})

Next Step Prepare to Evaluate

∴

l e(Pyramid) = (\frac{15 - \sqrt{5}}{22}) \cdot (\sqrt{\frac{11 \cdot 570}{15 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}})

Next Step Evaluate

∴

l e(Pyramid) = 4.66175994706939m

LAST Step Rounding Answer

∴

l e(Pyramid) = 4.6618m

Pyramidal Edge Length of Triakis Icosahedron given Total Surface Area 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

Total Surface Area of Triakis Icosahedron

The Total Surface Area of Triakis Icosahedron is the amount or quantity of two dimensional space covered on the surface of Triakis Icosahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 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}})

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 Total Surface Area?

Pyramidal Edge Length of Triakis Icosahedron given Total Surface Area evaluator uses Pyramidal Edge Length of Triakis Icosahedron = ((15-sqrt(5))/22)*(sqrt((11*Total Surface Area of Triakis Icosahedron)/(15*(sqrt(109-(30*sqrt(5))))))) to evaluate the Pyramidal Edge Length of Triakis Icosahedron, Pyramidal Edge Length of Triakis Icosahedron given Total Surface Area formula is defined as a straight line joining two adjacent vertices of pyramid of Triakis Icosahedron, calculated using total surface area 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 Total Surface Area using this online evaluator? To use this online evaluator for Pyramidal Edge Length of Triakis Icosahedron given Total Surface Area, enter Total Surface Area of Triakis Icosahedron (TSA) and hit the calculate button.

FAQs on Pyramidal Edge Length of Triakis Icosahedron given Total Surface Area

What is the formula to find Pyramidal Edge Length of Triakis Icosahedron given Total Surface Area?

The formula of Pyramidal Edge Length of Triakis Icosahedron given Total Surface Area is expressed as Pyramidal Edge Length of Triakis Icosahedron = ((15-sqrt(5))/22)*(sqrt((11*Total Surface Area of Triakis Icosahedron)/(15*(sqrt(109-(30*sqrt(5))))))). Here is an example- 4.66176 = ((15-sqrt(5))/22)*(sqrt((11*570)/(15*(sqrt(109-(30*sqrt(5))))))).

How to calculate Pyramidal Edge Length of Triakis Icosahedron given Total Surface Area?

With Total Surface Area of Triakis Icosahedron (TSA) we can find Pyramidal Edge Length of Triakis Icosahedron given Total Surface Area using the formula - Pyramidal Edge Length of Triakis Icosahedron = ((15-sqrt(5))/22)*(sqrt((11*Total Surface Area of Triakis Icosahedron)/(15*(sqrt(109-(30*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)*(((44*Volume of Triakis Icosahedron)/(5*(5+(7*sqrt(5)))))^(1/3))
Pyramidal Edge Length of Triakis Icosahedron=((15-sqrt(5))/22)*((4*Midsphere Radius of Triakis Icosahedron)/(1+sqrt(5)))

Can the Pyramidal Edge Length of Triakis Icosahedron given Total Surface Area be negative?

No, the Pyramidal Edge Length of Triakis Icosahedron given Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Pyramidal Edge Length of Triakis Icosahedron given Total Surface Area?

Pyramidal Edge Length of Triakis Icosahedron given Total Surface Area 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 Total Surface Area can be measured.

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