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Volume of Pentagonal Trapezohedron given Long Edge 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{l e(Long)}{(\frac{\sqrt{5} + 1}{2})})}^{3})

V - Volume of Pentagonal Trapezohedron?l_e(Long) - Long Edge of Pentagonal Trapezohedron?

Volume of Pentagonal Trapezohedron given Long Edge Example

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Here is how the Volume of Pentagonal Trapezohedron given Long Edge equation looks like with Values.

Here is how the Volume of Pentagonal Trapezohedron given Long Edge equation looks like with Units.

Here is how the Volume of Pentagonal Trapezohedron given Long Edge equation looks like.

2109.556 = (\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot ({(\frac{16}{(\frac{\sqrt{5} + 1}{2})})}^{3})

2109.556m³ = (\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot ({(\frac{16m}{(\frac{\sqrt{5} + 1}{2})})}^{3})

2109.556 = (\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot ({(\frac{16}{(\frac{\sqrt{5} + 1}{2})})}^{3})

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Volume of Pentagonal Trapezohedron given Long Edge Solution

Follow our step by step solution on how to calculate Volume of Pentagonal Trapezohedron given Long Edge?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = (\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot ({(\frac{16m}{(\frac{\sqrt{5} + 1}{2})})}^{3})

Next Step Prepare to Evaluate

∴

V = (\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot ({(\frac{16}{(\frac{\sqrt{5} + 1}{2})})}^{3})

Next Step Evaluate

∴

V = 2109.55601493297m³

LAST Step Rounding Answer

∴

V = 2109.556m³

Volume of Pentagonal Trapezohedron given Long Edge 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

Long Edge of Pentagonal Trapezohedron

Long Edge of Pentagonal Trapezohedron is the length of the any of the longer edges of the Pentagonal Trapezohedron.

Symbol: l_e(Long)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Edge 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 Height

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

Go Volume of Pentagonal Trapezohedron given Total Surface Area

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

How to Evaluate Volume of Pentagonal Trapezohedron given Long Edge?

Volume of Pentagonal Trapezohedron given Long Edge evaluator uses Volume of Pentagonal Trapezohedron = (5/12)*(3+sqrt(5))*((Long Edge of Pentagonal Trapezohedron/(((sqrt(5)+1)/2)))^3) to evaluate the Volume of Pentagonal Trapezohedron, The Volume of Pentagonal Trapezohedron given Long Edge formula is defined as the quantity of three-dimensional space enclosed by the Pentagonal Trapezohedron, calculated using its long edge. Volume of Pentagonal Trapezohedron is denoted by V symbol.

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

FAQs on Volume of Pentagonal Trapezohedron given Long Edge

What is the formula to find Volume of Pentagonal Trapezohedron given Long Edge?

The formula of Volume of Pentagonal Trapezohedron given Long Edge is expressed as Volume of Pentagonal Trapezohedron = (5/12)*(3+sqrt(5))*((Long Edge of Pentagonal Trapezohedron/(((sqrt(5)+1)/2)))^3). Here is an example- 2109.556 = (5/12)*(3+sqrt(5))*((16/(((sqrt(5)+1)/2)))^3).

How to calculate Volume of Pentagonal Trapezohedron given Long Edge?

With Long Edge of Pentagonal Trapezohedron (l_e(Long)) we can find Volume of Pentagonal Trapezohedron given Long Edge using the formula - Volume of Pentagonal Trapezohedron = (5/12)*(3+sqrt(5))*((Long Edge of Pentagonal Trapezohedron/(((sqrt(5)+1)/2)))^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))*((Height of Pentagonal Trapezohedron/((sqrt(5+2*sqrt(5)))))^3)

Can the Volume of Pentagonal Trapezohedron given Long Edge be negative?

No, the Volume of Pentagonal Trapezohedron given Long Edge, measured in Volume cannot be negative.

Which unit is used to measure Volume of Pentagonal Trapezohedron given Long Edge?

Volume of Pentagonal Trapezohedron given Long Edge 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 Long Edge can be measured.

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