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Antiprism Edge Length of Pentagonal Trapezohedron given Height Formula

GoAntiprism Edge Length of Pentagonal Trapezohedron given Short Edge Formula

GoAntiprism Edge Length of Pentagonal Trapezohedron given Long Edge Formula

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

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

l_e(Antiprism) - Antiprism Edge Length of Pentagonal Trapezohedron?h - Height of Pentagonal Trapezohedron?

Antiprism Edge Length of Pentagonal Trapezohedron given Height Example

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

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

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

9.7476 = \frac{30}{(\sqrt{5 + 2 \cdot \sqrt{5}})}

9.7476m = \frac{30m}{(\sqrt{5 + 2 \cdot \sqrt{5}})}

9.7476 = \frac{30}{(\sqrt{5 + 2 \cdot \sqrt{5}})}

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Antiprism Edge Length of Pentagonal Trapezohedron given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

l e(Antiprism) = 9.74759088698719m

LAST Step Rounding Answer

∴

l e(Antiprism) = 9.7476m

Antiprism Edge Length of Pentagonal Trapezohedron given Height Formula Elements

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Functions

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

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 Antiprism Edge Length of Pentagonal Trapezohedron

Go Antiprism Edge Length of Pentagonal Trapezohedron given Short Edge

l e(Antiprism) = \frac{l e(Short)}{(\frac{\sqrt{5} - 1}{2})}

Go Antiprism Edge Length of Pentagonal Trapezohedron given Long Edge

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

Go Antiprism Edge Length of Pentagonal Trapezohedron given Total Surface Area

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

Go Antiprism Edge Length of Pentagonal Trapezohedron given Volume

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

How to Evaluate Antiprism Edge Length of Pentagonal Trapezohedron given Height?

Antiprism Edge Length of Pentagonal Trapezohedron given Height evaluator uses Antiprism Edge Length of Pentagonal Trapezohedron = Height of Pentagonal Trapezohedron/((sqrt(5+2*sqrt(5)))) to evaluate the Antiprism Edge Length of Pentagonal Trapezohedron, The Antiprism Edge Length of Pentagonal Trapezohedron given Height formula is defined as the distance between any pair of adjacent vertices of the antiprism which corresponds to the Pentagonal Trapezohedron, calculated using its height. Antiprism Edge Length of Pentagonal Trapezohedron is denoted by l_e(Antiprism) symbol.

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

FAQs on Antiprism Edge Length of Pentagonal Trapezohedron given Height

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

The formula of Antiprism Edge Length of Pentagonal Trapezohedron given Height is expressed as Antiprism Edge Length of Pentagonal Trapezohedron = Height of Pentagonal Trapezohedron/((sqrt(5+2*sqrt(5)))). Here is an example- 9.747591 = 30/((sqrt(5+2*sqrt(5)))).

How to calculate Antiprism Edge Length of Pentagonal Trapezohedron given Height?

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

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

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

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

Can the Antiprism Edge Length of Pentagonal Trapezohedron given Height be negative?

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

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

Antiprism Edge Length 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 Antiprism Edge Length of Pentagonal Trapezohedron given Height can be measured.

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