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Height of Elongated Pentagonal Bipyramid given Volume Formula

GoHeight of Elongated Pentagonal Bipyramid Formula

GoHeight of Elongated Pentagonal Bipyramid given Total Surface Area Formula

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Height of Elongated Pentagonal Bipyramid is the vertical distance from the highest point to the lowest point of the Elongated Pentagonal Bipyramid. Check FAQs

h = ((2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}) + 1) \cdot {(\frac{V}{\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}})}^{\frac{1}{3}}

h - Height of Elongated Pentagonal Bipyramid?V - Volume of Elongated Pentagonal Bipyramid?

Height of Elongated Pentagonal Bipyramid given Volume Example

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

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

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

20.4453 = ((2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}) + 1) \cdot {(\frac{2300}{\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}})}^{\frac{1}{3}}

20.4453m = ((2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}) + 1) \cdot {(\frac{2300m³}{\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}})}^{\frac{1}{3}}

20.4453 = ((2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}) + 1) \cdot {(\frac{2300}{\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}})}^{\frac{1}{3}}

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Height of Elongated Pentagonal Bipyramid given Volume Solution

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

FIRST Step Consider the formula

h = ((2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}) + 1) \cdot {(\frac{V}{\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

h = ((2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}) + 1) \cdot {(\frac{2300m³}{\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

h = ((2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}) + 1) \cdot {(\frac{2300}{\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}})}^{\frac{1}{3}}

Next Step Evaluate

∴

h = 20.4452754394176m

LAST Step Rounding Answer

∴

h = 20.4453m

Height of Elongated Pentagonal Bipyramid given Volume Formula Elements

Variables

Functions

Height of Elongated Pentagonal Bipyramid

Height of Elongated Pentagonal Bipyramid is the vertical distance from the highest point to the lowest point of the Elongated Pentagonal Bipyramid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Elongated Pentagonal Bipyramid

Volume of Elongated Pentagonal Bipyramid

Volume of Elongated Pentagonal Bipyramid is the total quantity of three-dimensional space enclosed by the surface of the Elongated Pentagonal Bipyramid.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Elongated Pentagonal Bipyramid

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 Elongated Pentagonal Bipyramid

Go Height of Elongated Pentagonal Bipyramid

h = ((2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}) + 1) \cdot l e

Go Height of Elongated Pentagonal Bipyramid given Total Surface Area

h = ((2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}) + 1) \cdot \sqrt{\frac{SA Total}{\frac{5 \cdot \sqrt{3}}{2} + 5}}

Go Height of Elongated Pentagonal Bipyramid given Surface to Volume Ratio

h = ((2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}) + 1) \cdot (\frac{\frac{5 \cdot \sqrt{3}}{2} + 5}{(\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}) \cdot AV})

How to Evaluate Height of Elongated Pentagonal Bipyramid given Volume?

Height of Elongated Pentagonal Bipyramid given Volume evaluator uses Height of Elongated Pentagonal Bipyramid = ((2*sqrt((5-sqrt(5))/10))+1)*(Volume of Elongated Pentagonal Bipyramid/((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4))^(1/3) to evaluate the Height of Elongated Pentagonal Bipyramid, The Height of Elongated Pentagonal Bipyramid given Volume formula is defined as the vertical distance from the highest point to the lowest point of the Elongated Pentagonal Bipyramid and is calculated using the volume of the Elongated Pentagonal Bipyramid. Height of Elongated Pentagonal Bipyramid is denoted by h symbol.

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

FAQs on Height of Elongated Pentagonal Bipyramid given Volume

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

The formula of Height of Elongated Pentagonal Bipyramid given Volume is expressed as Height of Elongated Pentagonal Bipyramid = ((2*sqrt((5-sqrt(5))/10))+1)*(Volume of Elongated Pentagonal Bipyramid/((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4))^(1/3). Here is an example- 20.44528 = ((2*sqrt((5-sqrt(5))/10))+1)*(2300/((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4))^(1/3).

How to calculate Height of Elongated Pentagonal Bipyramid given Volume?

With Volume of Elongated Pentagonal Bipyramid (V) we can find Height of Elongated Pentagonal Bipyramid given Volume using the formula - Height of Elongated Pentagonal Bipyramid = ((2*sqrt((5-sqrt(5))/10))+1)*(Volume of Elongated Pentagonal Bipyramid/((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4))^(1/3). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Height of Elongated Pentagonal Bipyramid?

Here are the different ways to Calculate Height of Elongated Pentagonal Bipyramid-

Height of Elongated Pentagonal Bipyramid=((2*sqrt((5-sqrt(5))/10))+1)*Edge Length of Elongated Pentagonal Bipyramid
Height of Elongated Pentagonal Bipyramid=((2*sqrt((5-sqrt(5))/10))+1)*sqrt(TSA of Elongated Pentagonal Bipyramid/((5*sqrt(3))/2+5))
Height of Elongated Pentagonal Bipyramid=((2*sqrt((5-sqrt(5))/10))+1)*(((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*SA:V of Elongated Pentagonal Bipyramid))

Can the Height of Elongated Pentagonal Bipyramid given Volume be negative?

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

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

Height of Elongated Pentagonal Bipyramid 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 Elongated Pentagonal Bipyramid given Volume can be measured.

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