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Surface to Volume Ratio of Pentagonal Trapezohedron given Volume Formula

GoSurface to Volume Ratio of Pentagonal Trapezohedron Formula

GoSurface to Volume Ratio of Pentagonal Trapezohedron given Short 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 ({(\frac{12 \cdot V}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}})}

AV - SA:V of Pentagonal Trapezohedron?V - Volume of Pentagonal Trapezohedron?

Surface to Volume Ratio of Pentagonal Trapezohedron given Volume Example

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

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

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

0.4347 = \frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot ({(\frac{12 \cdot 2200}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}})}

0.4347m⁻¹ = \frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot ({(\frac{12 \cdot 2200m³}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}})}

0.4347 = \frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot ({(\frac{12 \cdot 2200}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}})}

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Surface to Volume Ratio of Pentagonal Trapezohedron given Volume Solution

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

FIRST Step Consider the formula

AV = \frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot ({(\frac{12 \cdot V}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}})}

Next Step Substitute values of Variables

∴

AV = \frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot ({(\frac{12 \cdot 2200m³}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}})}

Next Step Prepare to Evaluate

∴

AV = \frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot ({(\frac{12 \cdot 2200}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}})}

Next Step Evaluate

∴

AV = 0.434713114543674m⁻¹

LAST Step Rounding Answer

∴

AV = 0.4347m⁻¹

Surface to Volume Ratio of Pentagonal Trapezohedron given Volume 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

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 SA:V of Pentagonal Trapezohedron

Go Surface to Volume Ratio of Pentagonal Trapezohedron

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

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}})})}

How to Evaluate Surface to Volume Ratio of Pentagonal Trapezohedron given Volume?

Surface to Volume Ratio of Pentagonal Trapezohedron given Volume evaluator uses SA:V of Pentagonal Trapezohedron = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(((12*Volume of Pentagonal Trapezohedron)/(5*(3+sqrt(5))))^(1/3))) to evaluate the SA:V of Pentagonal Trapezohedron, Surface to Volume Ratio of Pentagonal Trapezohedron given Volume formula is defined as the numerical ratio of the total surface area of a Pentagonal Trapezohedron to the volume of the Pentagonal Trapezohedron, calculated using its volume. SA:V of Pentagonal Trapezohedron is denoted by AV symbol.

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

FAQs on Surface to Volume Ratio of Pentagonal Trapezohedron given Volume

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

The formula of Surface to Volume Ratio of Pentagonal Trapezohedron given Volume is expressed as SA:V of Pentagonal Trapezohedron = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(((12*Volume of Pentagonal Trapezohedron)/(5*(3+sqrt(5))))^(1/3))). Here is an example- 0.434713 = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(((12*2200)/(5*(3+sqrt(5))))^(1/3))).

How to calculate Surface to Volume Ratio of Pentagonal Trapezohedron given Volume?

With Volume of Pentagonal Trapezohedron (V) we can find Surface to Volume Ratio of Pentagonal Trapezohedron given Volume using the formula - SA:V of Pentagonal Trapezohedron = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(((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 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))*Antiprism Edge Length 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))))

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

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

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

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

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