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Long Edge of Pentagonal Trapezohedron given Volume 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{12 \cdot V}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}})

l_e(Long) - Long Edge of Pentagonal Trapezohedron?V - Volume of Pentagonal Trapezohedron?

Long Edge of Pentagonal Trapezohedron given Volume Example

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

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

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

16.2255 = (\frac{\sqrt{5} + 1}{2}) \cdot ({(\frac{12 \cdot 2200}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}})

16.2255m = (\frac{\sqrt{5} + 1}{2}) \cdot ({(\frac{12 \cdot 2200m³}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}})

16.2255 = (\frac{\sqrt{5} + 1}{2}) \cdot ({(\frac{12 \cdot 2200}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}})

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Long Edge of Pentagonal Trapezohedron given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e(Long) = (\frac{\sqrt{5} + 1}{2}) \cdot ({(\frac{12 \cdot 2200m³}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}})

Next Step Prepare to Evaluate

∴

l e(Long) = (\frac{\sqrt{5} + 1}{2}) \cdot ({(\frac{12 \cdot 2200}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}})

Next Step Evaluate

∴

l e(Long) = 16.2254663858342m

LAST Step Rounding Answer

∴

l e(Long) = 16.2255m

Long Edge of Pentagonal Trapezohedron given Volume 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

Volume of Pentagonal Trapezohedron

Volume of Pentagonal Trapezohedron is the amount of three dimensional space occupied by Pentagonal Trapezohedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Volume?

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

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

FAQs on Long Edge of Pentagonal Trapezohedron given Volume

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

The formula of Long Edge of Pentagonal Trapezohedron given Volume is expressed as Long Edge of Pentagonal Trapezohedron = ((sqrt(5)+1)/2)*(((12*Volume of Pentagonal Trapezohedron)/(5*(3+sqrt(5))))^(1/3)). Here is an example- 16.22547 = ((sqrt(5)+1)/2)*(((12*2200)/(5*(3+sqrt(5))))^(1/3)).

How to calculate Long Edge of Pentagonal Trapezohedron given Volume?

With Volume of Pentagonal Trapezohedron (V) we can find Long Edge of Pentagonal Trapezohedron given Volume using the formula - Long Edge of Pentagonal Trapezohedron = ((sqrt(5)+1)/2)*(((12*Volume of Pentagonal Trapezohedron)/(5*(3+sqrt(5))))^(1/3)). 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 Volume be negative?

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

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

Long Edge of Pentagonal Trapezohedron given Volume 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 Volume can be measured.

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