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Surface to Volume Ratio of Pentagonal Trapezohedron Formula

GoSurface to Volume Ratio of Pentagonal Trapezohedron given Short Edge Formula

GoSurface to Volume Ratio of Pentagonal Trapezohedron given Long Edge Formula

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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. Check FAQs

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

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

Surface to Volume Ratio of Pentagonal Trapezohedron Example

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

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

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

0.4359 = \frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot 10}

0.4359m⁻¹ = \frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot 10m}

0.4359 = \frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot 10}

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Surface to Volume Ratio of Pentagonal Trapezohedron Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

AV = \frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot 10m}

Next Step Prepare to Evaluate

∴

AV = \frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot 10}

Next Step Evaluate

∴

AV = 0.435925516803217m⁻¹

LAST Step Rounding Answer

∴

AV = 0.4359m⁻¹

Surface to Volume Ratio of Pentagonal Trapezohedron Formula Elements

Variables

Functions

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

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

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 SA:V of Pentagonal Trapezohedron

Go Surface to Volume Ratio of Pentagonal Trapezohedron given Short Edge

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

Go Surface to Volume Ratio of Pentagonal Trapezohedron given Long Edge

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

Go Surface to Volume Ratio of Pentagonal Trapezohedron given Height

AV = \frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot (\frac{h}{(\sqrt{5 + 2 \cdot \sqrt{5}})})}

Go Surface to Volume Ratio of Pentagonal Trapezohedron given Total Surface Area

AV = \frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot (\sqrt{\frac{TSA}{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}})}

How to Evaluate Surface to Volume Ratio of Pentagonal Trapezohedron?

Surface to Volume Ratio of Pentagonal Trapezohedron evaluator uses SA:V of Pentagonal Trapezohedron = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*Antiprism Edge Length of Pentagonal Trapezohedron) to evaluate the SA:V of Pentagonal Trapezohedron, Surface to Volume Ratio of Pentagonal Trapezohedron formula is defined as the numerical ratio of the total surface area of a Pentagonal Trapezohedron to the volume of the Pentagonal Trapezohedron. SA:V of Pentagonal Trapezohedron is denoted by AV symbol.

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

FAQs on Surface to Volume Ratio of Pentagonal Trapezohedron

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

The formula of Surface to Volume Ratio of Pentagonal Trapezohedron is expressed as SA:V of Pentagonal Trapezohedron = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*Antiprism Edge Length of Pentagonal Trapezohedron). Here is an example- 0.435926 = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*10).

How to calculate Surface to Volume Ratio of Pentagonal Trapezohedron?

With Antiprism Edge Length of Pentagonal Trapezohedron (l_e(Antiprism)) we can find Surface to Volume Ratio of Pentagonal Trapezohedron using the formula - SA:V of Pentagonal Trapezohedron = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*Antiprism Edge Length of Pentagonal Trapezohedron). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate SA:V of Pentagonal Trapezohedron?

Here are the different ways to Calculate SA:V of Pentagonal Trapezohedron-

SA:V of Pentagonal Trapezohedron=((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(Short Edge of Pentagonal Trapezohedron/(((sqrt(5)-1)/2))))
SA:V of Pentagonal Trapezohedron=((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(Long Edge of Pentagonal Trapezohedron/(((sqrt(5)+1)/2))))
SA:V of Pentagonal Trapezohedron=((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(Height of Pentagonal Trapezohedron/((sqrt(5+2*sqrt(5))))))

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

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

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

Surface to Volume Ratio of Pentagonal Trapezohedron is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Pentagonal Trapezohedron can be measured.

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