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Height of Pentagonal Bipyramid given Volume Formula

GoHeight of Pentagonal Bipyramid Formula

GoHeight of Pentagonal Bipyramid given Total Surface Area Formula

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

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

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

Height of Pentagonal Bipyramid given Volume Example

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

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

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

10.4971 = 2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}} \cdot {(\frac{12 \cdot 600}{5 + \sqrt{5}})}^{\frac{1}{3}}

10.4971m = 2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}} \cdot {(\frac{12 \cdot 600m³}{5 + \sqrt{5}})}^{\frac{1}{3}}

10.4971 = 2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}} \cdot {(\frac{12 \cdot 600}{5 + \sqrt{5}})}^{\frac{1}{3}}

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Height of Pentagonal Bipyramid given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = 2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}} \cdot {(\frac{12 \cdot 600m³}{5 + \sqrt{5}})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

h = 2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}} \cdot {(\frac{12 \cdot 600}{5 + \sqrt{5}})}^{\frac{1}{3}}

Next Step Evaluate

∴

h = 10.497123189216m

LAST Step Rounding Answer

∴

h = 10.4971m

Height of Pentagonal Bipyramid given Volume Formula Elements

Variables

Functions

Height of Pentagonal Bipyramid

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

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Pentagonal Bipyramid

Volume of Pentagonal Bipyramid

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of 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 Pentagonal Bipyramid

Go Height of Pentagonal Bipyramid

h = 2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}} \cdot l e

Go Height of Pentagonal Bipyramid given Total Surface Area

h = 2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}} \cdot \sqrt{\frac{2 \cdot TSA}{5 \cdot \sqrt{3}}}

Go Height of Pentagonal Bipyramid given Surface to Volume Ratio

h = 2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}} \cdot \frac{\frac{5 \cdot \sqrt{3}}{2}}{\frac{5 + \sqrt{5}}{12} \cdot R A/V}

How to Evaluate Height of Pentagonal Bipyramid given Volume?

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

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

FAQs on Height of Pentagonal Bipyramid given Volume

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

The formula of Height of Pentagonal Bipyramid given Volume is expressed as Height of Pentagonal Bipyramid = 2*sqrt((5-sqrt(5))/10)*((12*Volume of Pentagonal Bipyramid)/(5+sqrt(5)))^(1/3). Here is an example- 10.49712 = 2*sqrt((5-sqrt(5))/10)*((12*600)/(5+sqrt(5)))^(1/3).

How to calculate Height of Pentagonal Bipyramid given Volume?

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

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

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

Height of Pentagonal Bipyramid=2*sqrt((5-sqrt(5))/10)*Edge Length of Pentagonal Bipyramid
Height of Pentagonal Bipyramid=2*sqrt((5-sqrt(5))/10)*sqrt((2*Total Surface Area of Pentagonal Bipyramid)/(5*sqrt(3)))
Height of Pentagonal Bipyramid=2*sqrt((5-sqrt(5))/10)*((5*sqrt(3))/2)/((5+sqrt(5))/12*Surface to Volume Ratio of Pentagonal Bipyramid)

Can the Height of Pentagonal Bipyramid given Volume be negative?

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

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

Height of 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 Pentagonal Bipyramid given Volume can be measured.

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