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Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio Formula

GoHeight of Elongated Pentagonal Pyramid Formula

GoHeight of Elongated Pentagonal Pyramid given Total Surface Area Formula

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

h = (\sqrt{\frac{5 - \sqrt{5}}{10}} + 1) \cdot \frac{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5}{(\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}) \cdot AV}

h - Height of Elongated Pentagonal Pyramid?AV - SA:V of Elongated Pentagonal Pyramid?

Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio Example

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Here is how the Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio equation looks like with Values.

Here is how the Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio equation looks like with Units.

Here is how the Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio equation looks like.

16.762 = (\sqrt{\frac{5 - \sqrt{5}}{10}} + 1) \cdot \frac{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5}{(\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}) \cdot 0.4}

16.762m = (\sqrt{\frac{5 - \sqrt{5}}{10}} + 1) \cdot \frac{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5}{(\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}) \cdot 0.4m⁻¹}

16.762 = (\sqrt{\frac{5 - \sqrt{5}}{10}} + 1) \cdot \frac{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5}{(\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}) \cdot 0.4}

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Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

h = (\sqrt{\frac{5 - \sqrt{5}}{10}} + 1) \cdot \frac{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5}{(\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}) \cdot AV}

Next Step Substitute values of Variables

∴

h = (\sqrt{\frac{5 - \sqrt{5}}{10}} + 1) \cdot \frac{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5}{(\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}) \cdot 0.4m⁻¹}

Next Step Prepare to Evaluate

∴

h = (\sqrt{\frac{5 - \sqrt{5}}{10}} + 1) \cdot \frac{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5}{(\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}) \cdot 0.4}

Next Step Evaluate

∴

h = 16.7619668003113m

LAST Step Rounding Answer

∴

h = 16.762m

Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio Formula Elements

Variables

Functions

Height of Elongated Pentagonal Pyramid

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

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Elongated Pentagonal Pyramid

SA:V of Elongated Pentagonal Pyramid

SA:V of Elongated Pentagonal Pyramid is the numerical ratio of the total surface area of the Elongated Pentagonal Pyramid to the volume of the Elongated Pentagonal Pyramid.

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V of Elongated Pentagonal Pyramid

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 Pyramid

Go Height of Elongated Pentagonal Pyramid

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

Go Height of Elongated Pentagonal Pyramid given Total Surface Area

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

Go Height of Elongated Pentagonal Pyramid given Volume

h = (\sqrt{\frac{5 - \sqrt{5}}{10}} + 1) \cdot {(\frac{V}{\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}})}^{\frac{1}{3}}

How to Evaluate Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio?

Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio evaluator uses Height of Elongated Pentagonal Pyramid = (sqrt((5-sqrt(5))/10)+1)*((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*SA:V of Elongated Pentagonal Pyramid) to evaluate the Height of Elongated Pentagonal Pyramid, The Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio formula is defined as the vertical distance from the highest point to the lowest point of the Elongated Pentagonal Pyramid and is calculated using the surface to volume ratio of the Elongated Pentagonal Pyramid. Height of Elongated Pentagonal Pyramid is denoted by h symbol.

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

FAQs on Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio

What is the formula to find Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio?

The formula of Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio is expressed as Height of Elongated Pentagonal Pyramid = (sqrt((5-sqrt(5))/10)+1)*((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*SA:V of Elongated Pentagonal Pyramid). Here is an example- 16.76197 = (sqrt((5-sqrt(5))/10)+1)*((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*0.4).

How to calculate Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio?

With SA:V of Elongated Pentagonal Pyramid (AV) we can find Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio using the formula - Height of Elongated Pentagonal Pyramid = (sqrt((5-sqrt(5))/10)+1)*((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*SA:V of Elongated Pentagonal Pyramid). This formula also uses Square Root (sqrt) function(s).

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

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

Height of Elongated Pentagonal Pyramid=(sqrt((5-sqrt(5))/10)+1)*Edge Length of Elongated Pentagonal Pyramid
Height of Elongated Pentagonal Pyramid=(sqrt((5-sqrt(5))/10)+1)*sqrt(Total Surface Area of Elongated Pentagonal Pyramid/((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5))
Height of Elongated Pentagonal Pyramid=(sqrt((5-sqrt(5))/10)+1)*(Volume of Elongated Pentagonal Pyramid/((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4))^(1/3)

Can the Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio be negative?

No, the Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio, measured in Length cannot be negative.

Which unit is used to measure Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio?

Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio 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 Pyramid given Surface to Volume Ratio can be measured.

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