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Long Edge of Pentagonal Icositetrahedron given Total Surface Area Formula

GoLong Edge of Pentagonal Icositetrahedron given Short Edge Formula

GoLong Edge of Pentagonal Icositetrahedron Formula

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Long Edge of Pentagonal Icositetrahedron is the length of longest edge which is the top edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron. Check FAQs

l e(Long) = \frac{\sqrt{[Tribonacci_C] + 1}}{2} \cdot (\sqrt{\frac{TSA}{3}} \cdot {(\frac{(4 \cdot [Tribonacci_C]) - 3}{22 \cdot ((5 \cdot [Tribonacci_C]) - 1)})}^{\frac{1}{4}})

l_e(Long) - Long Edge of Pentagonal Icositetrahedron?TSA - Total Surface Area of Pentagonal Icositetrahedron?[Tribonacci_C] - Tribonacci constant?[Tribonacci_C] - Tribonacci constant?[Tribonacci_C] - Tribonacci constant?

Long Edge of Pentagonal Icositetrahedron given Total Surface Area Example

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Here is how the Long Edge of Pentagonal Icositetrahedron given Total Surface Area equation looks like with Values.

Here is how the Long Edge of Pentagonal Icositetrahedron given Total Surface Area equation looks like with Units.

Here is how the Long Edge of Pentagonal Icositetrahedron given Total Surface Area equation looks like.

8.3595 = \frac{\sqrt{1.8393 + 1}}{2} \cdot (\sqrt{\frac{1900}{3}} \cdot {(\frac{(4 \cdot 1.8393) - 3}{22 \cdot ((5 \cdot 1.8393) - 1)})}^{\frac{1}{4}})

8.3595m = \frac{\sqrt{1.8393 + 1}}{2} \cdot (\sqrt{\frac{1900m²}{3}} \cdot {(\frac{(4 \cdot 1.8393) - 3}{22 \cdot ((5 \cdot 1.8393) - 1)})}^{\frac{1}{4}})

8.3595 = \frac{\sqrt{1.8393 + 1}}{2} \cdot (\sqrt{\frac{1900}{3}} \cdot {(\frac{(4 \cdot 1.8393) - 3}{22 \cdot ((5 \cdot 1.8393) - 1)})}^{\frac{1}{4}})

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Long Edge of Pentagonal Icositetrahedron given Total Surface Area Solution

Follow our step by step solution on how to calculate Long Edge of Pentagonal Icositetrahedron given Total Surface Area?

FIRST Step Consider the formula

l e(Long) = \frac{\sqrt{[Tribonacci_C] + 1}}{2} \cdot (\sqrt{\frac{TSA}{3}} \cdot {(\frac{(4 \cdot [Tribonacci_C]) - 3}{22 \cdot ((5 \cdot [Tribonacci_C]) - 1)})}^{\frac{1}{4}})

Next Step Substitute values of Variables

∴

l e(Long) = \frac{\sqrt{[Tribonacci_C] + 1}}{2} \cdot (\sqrt{\frac{1900m²}{3}} \cdot {(\frac{(4 \cdot [Tribonacci_C]) - 3}{22 \cdot ((5 \cdot [Tribonacci_C]) - 1)})}^{\frac{1}{4}})

Next Step Substitute values of Constants

∴

l e(Long) = \frac{\sqrt{1.8393 + 1}}{2} \cdot (\sqrt{\frac{1900m²}{3}} \cdot {(\frac{(4 \cdot 1.8393) - 3}{22 \cdot ((5 \cdot 1.8393) - 1)})}^{\frac{1}{4}})

Next Step Prepare to Evaluate

∴

l e(Long) = \frac{\sqrt{1.8393 + 1}}{2} \cdot (\sqrt{\frac{1900}{3}} \cdot {(\frac{(4 \cdot 1.8393) - 3}{22 \cdot ((5 \cdot 1.8393) - 1)})}^{\frac{1}{4}})

Next Step Evaluate

∴

l e(Long) = 8.3594837045185m

LAST Step Rounding Answer

∴

l e(Long) = 8.3595m

Long Edge of Pentagonal Icositetrahedron given Total Surface Area Formula Elements

Variables

Constants

Functions

Long Edge of Pentagonal Icositetrahedron

Long Edge of Pentagonal Icositetrahedron is the length of longest edge which is the top edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron.

Symbol: l_e(Long)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Edge of Pentagonal Icositetrahedron

Total Surface Area of Pentagonal Icositetrahedron

Total Surface Area of Pentagonal Icositetrahedron is the amount or quantity of two dimensional space covered on the surface of Pentagonal Icositetrahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Pentagonal Icositetrahedron

Tribonacci constant

Tribonacci constant is the limit of the ratio of the nth term to the (n-1)th term of the Tribonacci sequence as n approaches infinity.

Symbol: [Tribonacci_C]

Value: 1.839286755214161

Tribonacci constant

Tribonacci constant is the limit of the ratio of the nth term to the (n-1)th term of the Tribonacci sequence as n approaches infinity.

Symbol: [Tribonacci_C]

Value: 1.839286755214161

Tribonacci constant

Tribonacci constant is the limit of the ratio of the nth term to the (n-1)th term of the Tribonacci sequence as n approaches infinity.

Symbol: [Tribonacci_C]

Value: 1.839286755214161

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 Long Edge of Pentagonal Icositetrahedron

Go Long Edge of Pentagonal Icositetrahedron given Short Edge

l e(Long) = \frac{[Tribonacci_C] + 1}{2} \cdot l e(Short)

Go Long Edge of Pentagonal Icositetrahedron

l e(Long) = \frac{\sqrt{[Tribonacci_C] + 1}}{2} \cdot l e(Snub Cube)

Go Long Edge of Pentagonal Icositetrahedron given Volume

l e(Long) = \frac{\sqrt{[Tribonacci_C] + 1}}{2} \cdot (V^{\frac{1}{3}} \cdot {(\frac{2 \cdot ((20 \cdot [Tribonacci_C]) - 37)}{11 \cdot ([Tribonacci_C] - 4)})}^{\frac{1}{6}})

Go Long Edge of Pentagonal Icositetrahedron given Midsphere Radius

l e(Long) = \sqrt{([Tribonacci_C] + 1) \cdot (2 - [Tribonacci_C])} \cdot r m

How to Evaluate Long Edge of Pentagonal Icositetrahedron given Total Surface Area?

Long Edge of Pentagonal Icositetrahedron given Total Surface Area evaluator uses Long Edge of Pentagonal Icositetrahedron = sqrt([Tribonacci_C]+1)/2*(sqrt(Total Surface Area of Pentagonal Icositetrahedron/3)*(((4*[Tribonacci_C])-3)/(22*((5*[Tribonacci_C])-1)))^(1/4)) to evaluate the Long Edge of Pentagonal Icositetrahedron, Long Edge of Pentagonal Icositetrahedron given Total Surface Area formula is defined as the length of longest edge which is the top edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron, calculated using total surface area of Pentagonal Icositetrahedron. Long Edge of Pentagonal Icositetrahedron is denoted by l_e(Long) symbol.

How to evaluate Long Edge of Pentagonal Icositetrahedron given Total Surface Area using this online evaluator? To use this online evaluator for Long Edge of Pentagonal Icositetrahedron given Total Surface Area, enter Total Surface Area of Pentagonal Icositetrahedron (TSA) and hit the calculate button.

FAQs on Long Edge of Pentagonal Icositetrahedron given Total Surface Area

What is the formula to find Long Edge of Pentagonal Icositetrahedron given Total Surface Area?

The formula of Long Edge of Pentagonal Icositetrahedron given Total Surface Area is expressed as Long Edge of Pentagonal Icositetrahedron = sqrt([Tribonacci_C]+1)/2*(sqrt(Total Surface Area of Pentagonal Icositetrahedron/3)*(((4*[Tribonacci_C])-3)/(22*((5*[Tribonacci_C])-1)))^(1/4)). Here is an example- 8.359484 = sqrt([Tribonacci_C]+1)/2*(sqrt(1900/3)*(((4*[Tribonacci_C])-3)/(22*((5*[Tribonacci_C])-1)))^(1/4)).

How to calculate Long Edge of Pentagonal Icositetrahedron given Total Surface Area?

With Total Surface Area of Pentagonal Icositetrahedron (TSA) we can find Long Edge of Pentagonal Icositetrahedron given Total Surface Area using the formula - Long Edge of Pentagonal Icositetrahedron = sqrt([Tribonacci_C]+1)/2*(sqrt(Total Surface Area of Pentagonal Icositetrahedron/3)*(((4*[Tribonacci_C])-3)/(22*((5*[Tribonacci_C])-1)))^(1/4)). This formula also uses Tribonacci constant, Tribonacci constant, Tribonacci constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Long Edge of Pentagonal Icositetrahedron?

Here are the different ways to Calculate Long Edge of Pentagonal Icositetrahedron-

Long Edge of Pentagonal Icositetrahedron=([Tribonacci_C]+1)/2*Short Edge of Pentagonal Icositetrahedron
Long Edge of Pentagonal Icositetrahedron=sqrt([Tribonacci_C]+1)/2*Snub Cube Edge of Pentagonal Icositetrahedron
Long Edge of Pentagonal Icositetrahedron=sqrt([Tribonacci_C]+1)/2*(Volume of Pentagonal Icositetrahedron^(1/3)*((2*((20*[Tribonacci_C])-37))/(11*([Tribonacci_C]-4)))^(1/6))

Can the Long Edge of Pentagonal Icositetrahedron given Total Surface Area be negative?

No, the Long Edge of Pentagonal Icositetrahedron given Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Long Edge of Pentagonal Icositetrahedron given Total Surface Area?

Long Edge of Pentagonal Icositetrahedron 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 Long Edge of Pentagonal Icositetrahedron given Total Surface Area can be measured.

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Long Edge of Pentagonal Icositetrahedron given Total Surface Area Formula

​GoLong Edge of Pentagonal Icositetrahedron given Short Edge Formula

​GoLong Edge of Pentagonal Icositetrahedron Formula

Long Edge of Pentagonal Icositetrahedron given Total Surface Area Example

Long Edge of Pentagonal Icositetrahedron given Total Surface Area Solution

Long Edge of Pentagonal Icositetrahedron given Total Surface Area Formula Elements

Other Formulas to find Long Edge of Pentagonal Icositetrahedron

How to Evaluate Long Edge of Pentagonal Icositetrahedron given Total Surface Area?

FAQs on Long Edge of Pentagonal Icositetrahedron given Total Surface Area

Variable Name

GoLong Edge of Pentagonal Icositetrahedron given Short Edge Formula

GoLong Edge of Pentagonal Icositetrahedron Formula