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Long Edge of Pentagonal Trapezohedron given Surface to Volume Ratio 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 (\frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot AV})

l_e(Long) - Long Edge of Pentagonal Trapezohedron?AV - SA:V of Pentagonal Trapezohedron?

Long Edge of Pentagonal Trapezohedron given Surface to Volume Ratio Example

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Here is how the Long Edge of Pentagonal Trapezohedron given Surface to Volume Ratio equation looks like with Values.

Here is how the Long Edge of Pentagonal Trapezohedron given Surface to Volume Ratio equation looks like with Units.

Here is how the Long Edge of Pentagonal Trapezohedron given Surface to Volume Ratio equation looks like.

17.6336 = (\frac{\sqrt{5} + 1}{2}) \cdot (\frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot 0.4})

17.6336m = (\frac{\sqrt{5} + 1}{2}) \cdot (\frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot 0.4m⁻¹})

17.6336 = (\frac{\sqrt{5} + 1}{2}) \cdot (\frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot 0.4})

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Long Edge of Pentagonal Trapezohedron given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Long Edge of Pentagonal Trapezohedron given Surface to Volume Ratio?

FIRST Step Consider the formula

l e(Long) = (\frac{\sqrt{5} + 1}{2}) \cdot (\frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot AV})

Next Step Substitute values of Variables

∴

l e(Long) = (\frac{\sqrt{5} + 1}{2}) \cdot (\frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot 0.4m⁻¹})

Next Step Prepare to Evaluate

∴

l e(Long) = (\frac{\sqrt{5} + 1}{2}) \cdot (\frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot 0.4})

Next Step Evaluate

∴

l e(Long) = 17.6335575687742m

LAST Step Rounding Answer

∴

l e(Long) = 17.6336m

Long Edge of Pentagonal Trapezohedron given Surface to Volume Ratio 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

SA:V of Pentagonal Trapezohedron

SA:V of Pentagonal Trapezohedron is the numerical ratio of the total surface area of a Pentagonal Trapezohedron to the volume of the Pentagonal Trapezohedron.

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V 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

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

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})})}})

How to Evaluate Long Edge of Pentagonal Trapezohedron given Surface to Volume Ratio?

Long Edge of Pentagonal Trapezohedron given Surface to Volume Ratio evaluator uses Long Edge of Pentagonal Trapezohedron = ((sqrt(5)+1)/2)*(((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*SA:V of Pentagonal Trapezohedron)) to evaluate the Long Edge of Pentagonal Trapezohedron, The Long Edge of Pentagonal Trapezohedron given Surface to Volume Ratio formula is defined as the length of the any of the longer edges of the Pentagonal Trapezohedron, calculated using its surface to volume ratio. Long Edge of Pentagonal Trapezohedron is denoted by l_e(Long) symbol.

How to evaluate Long Edge of Pentagonal Trapezohedron given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Long Edge of Pentagonal Trapezohedron given Surface to Volume Ratio, enter SA:V of Pentagonal Trapezohedron (AV) and hit the calculate button.

FAQs on Long Edge of Pentagonal Trapezohedron given Surface to Volume Ratio

What is the formula to find Long Edge of Pentagonal Trapezohedron given Surface to Volume Ratio?

The formula of Long Edge of Pentagonal Trapezohedron given Surface to Volume Ratio is expressed as Long Edge of Pentagonal Trapezohedron = ((sqrt(5)+1)/2)*(((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*SA:V of Pentagonal Trapezohedron)). Here is an example- 17.63356 = ((sqrt(5)+1)/2)*(((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*0.4)).

How to calculate Long Edge of Pentagonal Trapezohedron given Surface to Volume Ratio?

With SA:V of Pentagonal Trapezohedron (AV) we can find Long Edge of Pentagonal Trapezohedron given Surface to Volume Ratio using the formula - Long Edge of Pentagonal Trapezohedron = ((sqrt(5)+1)/2)*(((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*SA:V 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)*Antiprism Edge Length 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)))))

Can the Long Edge of Pentagonal Trapezohedron given Surface to Volume Ratio be negative?

No, the Long Edge of Pentagonal Trapezohedron given Surface to Volume Ratio, measured in Length cannot be negative.

Which unit is used to measure Long Edge of Pentagonal Trapezohedron given Surface to Volume Ratio?

Long Edge of Pentagonal Trapezohedron 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 Long Edge of Pentagonal Trapezohedron given Surface to Volume Ratio can be measured.

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