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Height of Pentagonal Trapezohedron given Volume Formula

GoHeight of Pentagonal Trapezohedron Formula

GoHeight of Pentagonal Trapezohedron given Short Edge Formula

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

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

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

Height of Pentagonal Trapezohedron given Volume Example

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

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

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

30.8627 = (\sqrt{5 + 2 \cdot \sqrt{5}}) \cdot ({(\frac{12 \cdot 2200}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}})

30.8627m = (\sqrt{5 + 2 \cdot \sqrt{5}}) \cdot ({(\frac{12 \cdot 2200m³}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}})

30.8627 = (\sqrt{5 + 2 \cdot \sqrt{5}}) \cdot ({(\frac{12 \cdot 2200}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}})

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Height of Pentagonal Trapezohedron given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

h = 30.8626710723512m

LAST Step Rounding Answer

∴

h = 30.8627m

Height of Pentagonal Trapezohedron given Volume Formula Elements

Variables

Functions

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

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 Height of Pentagonal Trapezohedron

Go Height of Pentagonal Trapezohedron

h = (\sqrt{5 + 2 \cdot \sqrt{5}}) \cdot l e(Antiprism)

Go Height of Pentagonal Trapezohedron given Short Edge

h = (\sqrt{5 + 2 \cdot \sqrt{5}}) \cdot (\frac{l e(Short)}{(\frac{\sqrt{5} - 1}{2})})

Go Height of Pentagonal Trapezohedron given Long Edge

h = (\sqrt{5 + 2 \cdot \sqrt{5}}) \cdot (\frac{l e(Long)}{(\frac{\sqrt{5} + 1}{2})})

Go Height of Pentagonal Trapezohedron given Total Surface Area

h = (\sqrt{5 + 2 \cdot \sqrt{5}}) \cdot (\sqrt{\frac{TSA}{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}})

How to Evaluate Height of Pentagonal Trapezohedron given Volume?

Height of Pentagonal Trapezohedron given Volume evaluator uses Height of Pentagonal Trapezohedron = (sqrt(5+2*sqrt(5)))*(((12*Volume of Pentagonal Trapezohedron)/(5*(3+sqrt(5))))^(1/3)) to evaluate the Height of Pentagonal Trapezohedron, The Height of Pentagonal Trapezohedron given Volume formula is defined as the distance between two peak vertices where long edges of the Pentagonal Trapezohedron join, calculated using its volume. Height of Pentagonal Trapezohedron is denoted by h symbol.

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

FAQs on Height of Pentagonal Trapezohedron given Volume

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

The formula of Height of Pentagonal Trapezohedron given Volume is expressed as Height of Pentagonal Trapezohedron = (sqrt(5+2*sqrt(5)))*(((12*Volume of Pentagonal Trapezohedron)/(5*(3+sqrt(5))))^(1/3)). Here is an example- 30.86267 = (sqrt(5+2*sqrt(5)))*(((12*2200)/(5*(3+sqrt(5))))^(1/3)).

How to calculate Height of Pentagonal Trapezohedron given Volume?

With Volume of Pentagonal Trapezohedron (V) we can find Height of Pentagonal Trapezohedron given Volume using the formula - Height of Pentagonal Trapezohedron = (sqrt(5+2*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 Height of Pentagonal Trapezohedron?

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

Height of Pentagonal Trapezohedron=(sqrt(5+2*sqrt(5)))*Antiprism Edge Length of Pentagonal Trapezohedron
Height of Pentagonal Trapezohedron=(sqrt(5+2*sqrt(5)))*(Short Edge of Pentagonal Trapezohedron/(((sqrt(5)-1)/2)))
Height of Pentagonal Trapezohedron=(sqrt(5+2*sqrt(5)))*(Long Edge of Pentagonal Trapezohedron/(((sqrt(5)+1)/2)))

Can the Height of Pentagonal Trapezohedron given Volume be negative?

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

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

Height of Pentagonal Trapezohedron given Volume is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Pentagonal Trapezohedron given Volume can be measured.

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