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Long Edge of Pentagonal Trapezohedron given Height Formula

GoLong Edge of Pentagonal Trapezohedron Formula

GoLong Edge of Pentagonal Trapezohedron given Short Edge 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{h}{(\sqrt{5 + 2 \cdot \sqrt{5}})})

l_e(Long) - Long Edge of Pentagonal Trapezohedron?h - Height of Pentagonal Trapezohedron?

Long Edge of Pentagonal Trapezohedron given Height Example

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

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

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

15.7719 = (\frac{\sqrt{5} + 1}{2}) \cdot (\frac{30}{(\sqrt{5 + 2 \cdot \sqrt{5}})})

15.7719m = (\frac{\sqrt{5} + 1}{2}) \cdot (\frac{30m}{(\sqrt{5 + 2 \cdot \sqrt{5}})})

15.7719 = (\frac{\sqrt{5} + 1}{2}) \cdot (\frac{30}{(\sqrt{5 + 2 \cdot \sqrt{5}})})

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Long Edge of Pentagonal Trapezohedron given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e(Long) = (\frac{\sqrt{5} + 1}{2}) \cdot (\frac{30m}{(\sqrt{5 + 2 \cdot \sqrt{5}})})

Next Step Prepare to Evaluate

∴

l e(Long) = (\frac{\sqrt{5} + 1}{2}) \cdot (\frac{30}{(\sqrt{5 + 2 \cdot \sqrt{5}})})

Next Step Evaluate

∴

l e(Long) = 15.771933363574m

LAST Step Rounding Answer

∴

l e(Long) = 15.7719m

Long Edge of Pentagonal Trapezohedron given Height 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

Height of Pentagonal Trapezohedron

Height of Pentagonal Trapezohedron is the distance between two peak vertices where long edges of the Pentagonal Trapezohedron join.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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 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 given Height?

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

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

FAQs on Long Edge of Pentagonal Trapezohedron given Height

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

The formula of Long Edge of Pentagonal Trapezohedron given Height is expressed as Long Edge of Pentagonal Trapezohedron = ((sqrt(5)+1)/2)*(Height of Pentagonal Trapezohedron/((sqrt(5+2*sqrt(5))))). Here is an example- 15.77193 = ((sqrt(5)+1)/2)*(30/((sqrt(5+2*sqrt(5))))).

How to calculate Long Edge of Pentagonal Trapezohedron given Height?

With Height of Pentagonal Trapezohedron (h) we can find Long Edge of Pentagonal Trapezohedron given Height using the formula - Long Edge of Pentagonal Trapezohedron = ((sqrt(5)+1)/2)*(Height of Pentagonal Trapezohedron/((sqrt(5+2*sqrt(5))))). This formula also uses Square Root Function 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)*(sqrt(Total Surface Area of Pentagonal Trapezohedron/((sqrt((25/2)*(5+sqrt(5)))))))

Can the Long Edge of Pentagonal Trapezohedron given Height be negative?

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

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

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

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