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

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

Antiprism Edge Length of Pentagonal Trapezohedron given Surface to Volume Ratio Example

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

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

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

10.8981 = \frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot 0.4}

10.8981m = \frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot 0.4m⁻¹}

10.8981 = \frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot 0.4}

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Antiprism Edge Length of Pentagonal Trapezohedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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

Next Step Evaluate

∴

l e(Antiprism) = 10.8981379200804m

LAST Step Rounding Answer

∴

l e(Antiprism) = 10.8981m

Antiprism Edge Length of Pentagonal Trapezohedron given Surface to Volume Ratio Formula Elements

Variables

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

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 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 Height

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

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})})}}

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

Antiprism Edge Length of Pentagonal Trapezohedron given Surface to Volume Ratio evaluator uses Antiprism Edge Length of Pentagonal Trapezohedron = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*SA:V of Pentagonal Trapezohedron) to evaluate the Antiprism Edge Length of Pentagonal Trapezohedron, The Antiprism Edge Length of Pentagonal Trapezohedron given Surface to Volume Ratio formula is defined as the distance between any pair of adjacent vertices of the antiprism which corresponds to the Pentagonal Trapezohedron, calculated using its surface to volume ratio. Antiprism Edge Length of Pentagonal Trapezohedron is denoted by l_e(Antiprism) symbol.

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

FAQs on Antiprism Edge Length of Pentagonal Trapezohedron given Surface to Volume Ratio

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

The formula of Antiprism Edge Length of Pentagonal Trapezohedron given Surface to Volume Ratio is expressed as Antiprism Edge Length of Pentagonal Trapezohedron = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*SA:V of Pentagonal Trapezohedron). Here is an example- 10.89814 = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*0.4).

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

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

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

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

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

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

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