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Volume of Pentagonal Trapezohedron given Surface to Volume Ratio Formula

GoVolume of Pentagonal Trapezohedron Formula

GoVolume of Pentagonal Trapezohedron given Short Edge Formula

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Volume of Pentagonal Trapezohedron is the amount of three dimensional space occupied by Pentagonal Trapezohedron. Check FAQs

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

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

Volume of Pentagonal Trapezohedron given Surface to Volume Ratio Example

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

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

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

2823.9105 = (\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot ({(\frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot 0.4})}^{3})

2823.9105m³ = (\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot ({(\frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot 0.4m⁻¹})}^{3})

2823.9105 = (\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot ({(\frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot 0.4})}^{3})

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Volume of Pentagonal Trapezohedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

V = 2823.91053590007m³

LAST Step Rounding Answer

∴

V = 2823.9105m³

Volume of Pentagonal Trapezohedron given Surface to Volume Ratio Formula Elements

Variables

Functions

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

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 Volume of Pentagonal Trapezohedron

Go Volume of Pentagonal Trapezohedron

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

Go Volume of Pentagonal Trapezohedron given Short Edge

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

Go Volume of Pentagonal Trapezohedron given Long Edge

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

Go Volume of Pentagonal Trapezohedron given Height

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

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

Volume of Pentagonal Trapezohedron given Surface to Volume Ratio evaluator uses Volume of Pentagonal Trapezohedron = (5/12)*(3+sqrt(5))*((((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*SA:V of Pentagonal Trapezohedron))^3) to evaluate the Volume of Pentagonal Trapezohedron, The Volume of Pentagonal Trapezohedron given Surface to Volume Ratio of formula is defined as the quantity of three-dimensional space enclosed by the Pentagonal Trapezohedron, calculated using its surface to volume ratio. Volume of Pentagonal Trapezohedron is denoted by V symbol.

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

FAQs on Volume of Pentagonal Trapezohedron given Surface to Volume Ratio

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

The formula of Volume of Pentagonal Trapezohedron given Surface to Volume Ratio is expressed as Volume of Pentagonal Trapezohedron = (5/12)*(3+sqrt(5))*((((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*SA:V of Pentagonal Trapezohedron))^3). Here is an example- 2823.911 = (5/12)*(3+sqrt(5))*((((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*0.4))^3).

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

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

What are the other ways to Calculate Volume of Pentagonal Trapezohedron?

Here are the different ways to Calculate Volume of Pentagonal Trapezohedron-

Volume of Pentagonal Trapezohedron=(5/12)*(3+sqrt(5))*(Antiprism Edge Length of Pentagonal Trapezohedron^3)
Volume of Pentagonal Trapezohedron=(5/12)*(3+sqrt(5))*((Short Edge of Pentagonal Trapezohedron/(((sqrt(5)-1)/2)))^3)
Volume of Pentagonal Trapezohedron=(5/12)*(3+sqrt(5))*((Long Edge of Pentagonal Trapezohedron/(((sqrt(5)+1)/2)))^3)

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

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

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

Volume of Pentagonal Trapezohedron given Surface to Volume Ratio is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Pentagonal Trapezohedron given Surface to Volume Ratio can be measured.

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