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Long Edge of Pentagonal Trapezohedron Formula

GoLong Edge of Pentagonal Trapezohedron given Short Edge Formula

GoLong Edge of Pentagonal Trapezohedron given Height Formula

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Long Edge of Pentagonal Trapezohedron is the length of the any of the longer edges of the Pentagonal Trapezohedron. Check FAQs

l e(Long) = (\frac{\sqrt{5} + 1}{2}) \cdot l e(Antiprism)

l_e(Long) - Long Edge of Pentagonal Trapezohedron?l_e(Antiprism) - Antiprism Edge Length of Pentagonal Trapezohedron?

Long Edge of Pentagonal Trapezohedron Example

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Here is how the Long Edge of Pentagonal Trapezohedron equation looks like with Values.

Here is how the Long Edge of Pentagonal Trapezohedron equation looks like with Units.

Here is how the Long Edge of Pentagonal Trapezohedron equation looks like.

16.1803 = (\frac{\sqrt{5} + 1}{2}) \cdot 10

16.1803m = (\frac{\sqrt{5} + 1}{2}) \cdot 10m

16.1803 = (\frac{\sqrt{5} + 1}{2}) \cdot 10

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Long Edge of Pentagonal Trapezohedron Solution

Follow our step by step solution on how to calculate Long Edge of Pentagonal Trapezohedron?

FIRST Step Consider the formula

l e(Long) = (\frac{\sqrt{5} + 1}{2}) \cdot l e(Antiprism)

Next Step Substitute values of Variables

∴

l e(Long) = (\frac{\sqrt{5} + 1}{2}) \cdot 10m

Next Step Prepare to Evaluate

∴

l e(Long) = (\frac{\sqrt{5} + 1}{2}) \cdot 10

Next Step Evaluate

∴

l e(Long) = 16.1803398874989m

LAST Step Rounding Answer

∴

l e(Long) = 16.1803m

Long Edge of Pentagonal Trapezohedron Formula Elements

Variables

Functions

Long Edge of Pentagonal Trapezohedron

Long Edge of Pentagonal Trapezohedron is the length of the any of the longer edges of the Pentagonal Trapezohedron.

Symbol: l_e(Long)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Edge of Pentagonal Trapezohedron

Antiprism Edge Length of Pentagonal Trapezohedron

Antiprism Edge Length of Pentagonal Trapezohedron is the distance between any pair of adjacent vertices of the antiprism which corresponds to the Pentagonal Trapezohedron.

Symbol: l_e(Antiprism)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Antiprism Edge Length of Pentagonal Trapezohedron

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 Trapezohedron

Go Long Edge of Pentagonal Trapezohedron given Short Edge

l e(Long) = (\frac{\sqrt{5} + 1}{2}) \cdot (\frac{l e(Short)}{(\frac{\sqrt{5} - 1}{2})})

Go Long Edge of Pentagonal Trapezohedron given Height

l e(Long) = (\frac{\sqrt{5} + 1}{2}) \cdot (\frac{h}{(\sqrt{5 + 2 \cdot \sqrt{5}})})

Go Long Edge of Pentagonal Trapezohedron given Total Surface Area

l e(Long) = (\frac{\sqrt{5} + 1}{2}) \cdot (\sqrt{\frac{TSA}{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}})

Go Long Edge of Pentagonal Trapezohedron given Volume

l e(Long) = (\frac{\sqrt{5} + 1}{2}) \cdot ({(\frac{12 \cdot V}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}})

How to Evaluate Long Edge of Pentagonal Trapezohedron?

Long Edge of Pentagonal Trapezohedron evaluator uses Long Edge of Pentagonal Trapezohedron = ((sqrt(5)+1)/2)*Antiprism Edge Length of Pentagonal Trapezohedron to evaluate the Long Edge of Pentagonal Trapezohedron, The Long Edge of Pentagonal Trapezohedron formula is defined as the length of any of the longer edges of the Pentagonal Trapezohedron. Long Edge of Pentagonal Trapezohedron is denoted by l_e(Long) symbol.

How to evaluate Long Edge of Pentagonal Trapezohedron using this online evaluator? To use this online evaluator for Long Edge of Pentagonal Trapezohedron, enter Antiprism Edge Length of Pentagonal Trapezohedron (l_e(Antiprism)) and hit the calculate button.

FAQs on Long Edge of Pentagonal Trapezohedron

What is the formula to find Long Edge of Pentagonal Trapezohedron?

The formula of Long Edge of Pentagonal Trapezohedron is expressed as Long Edge of Pentagonal Trapezohedron = ((sqrt(5)+1)/2)*Antiprism Edge Length of Pentagonal Trapezohedron. Here is an example- 16.18034 = ((sqrt(5)+1)/2)*10.

How to calculate Long Edge of Pentagonal Trapezohedron?

With Antiprism Edge Length of Pentagonal Trapezohedron (l_e(Antiprism)) we can find Long Edge of Pentagonal Trapezohedron using the formula - Long Edge of Pentagonal Trapezohedron = ((sqrt(5)+1)/2)*Antiprism Edge Length of Pentagonal Trapezohedron. This formula also uses Square Root (sqrt) function(s).

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

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

Long Edge of Pentagonal Trapezohedron=((sqrt(5)+1)/2)*(Short Edge of Pentagonal Trapezohedron/(((sqrt(5)-1)/2)))
Long Edge of Pentagonal Trapezohedron=((sqrt(5)+1)/2)*(Height of Pentagonal Trapezohedron/((sqrt(5+2*sqrt(5)))))
Long Edge of Pentagonal Trapezohedron=((sqrt(5)+1)/2)*(sqrt(Total Surface Area of Pentagonal Trapezohedron/((sqrt((25/2)*(5+sqrt(5)))))))

Can the Long Edge of Pentagonal Trapezohedron be negative?

No, the Long Edge of Pentagonal Trapezohedron, measured in Length cannot be negative.

Which unit is used to measure Long Edge of Pentagonal Trapezohedron?

Long Edge of Pentagonal Trapezohedron 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 Trapezohedron can be measured.

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