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Volume of Pentagonal Trapezohedron given Height 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{h}{(\sqrt{5 + 2 \cdot \sqrt{5}})})}^{3})

V - Volume of Pentagonal Trapezohedron?h - Height of Pentagonal Trapezohedron?

Volume of Pentagonal Trapezohedron given Height Example

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

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

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

2020.6259 = (\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot ({(\frac{30}{(\sqrt{5 + 2 \cdot \sqrt{5}})})}^{3})

2020.6259m³ = (\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot ({(\frac{30m}{(\sqrt{5 + 2 \cdot \sqrt{5}})})}^{3})

2020.6259 = (\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot ({(\frac{30}{(\sqrt{5 + 2 \cdot \sqrt{5}})})}^{3})

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Volume of Pentagonal Trapezohedron given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = (\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot ({(\frac{30m}{(\sqrt{5 + 2 \cdot \sqrt{5}})})}^{3})

Next Step Prepare to Evaluate

∴

V = (\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot ({(\frac{30}{(\sqrt{5 + 2 \cdot \sqrt{5}})})}^{3})

Next Step Evaluate

∴

V = 2020.62589460813m³

LAST Step Rounding Answer

∴

V = 2020.6259m³

Volume of Pentagonal Trapezohedron given Height 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

Height of Pentagonal Trapezohedron

Height of Pentagonal Trapezohedron is the distance between two peak vertices where long edges of the Pentagonal Trapezohedron join.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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 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 Height?

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

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

FAQs on Volume of Pentagonal Trapezohedron given Height

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

The formula of Volume of Pentagonal Trapezohedron given Height is expressed as Volume of Pentagonal Trapezohedron = (5/12)*(3+sqrt(5))*((Height of Pentagonal Trapezohedron/((sqrt(5+2*sqrt(5)))))^3). Here is an example- 2020.626 = (5/12)*(3+sqrt(5))*((30/((sqrt(5+2*sqrt(5)))))^3).

How to calculate Volume of Pentagonal Trapezohedron given Height?

With Height of Pentagonal Trapezohedron (h) we can find Volume of Pentagonal Trapezohedron given Height using the formula - Volume of Pentagonal Trapezohedron = (5/12)*(3+sqrt(5))*((Height of Pentagonal Trapezohedron/((sqrt(5+2*sqrt(5)))))^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 Height be negative?

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

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

Volume of Pentagonal Trapezohedron given Height 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 Height can be measured.

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