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Surface to Volume Ratio of Elongated Pentagonal Pyramid given Height Formula

GoSurface to Volume Ratio of Elongated Pentagonal Pyramid Formula

GoSurface to Volume Ratio of Elongated Pentagonal Pyramid given Total Surface Area Formula

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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. Check FAQs

AV = \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 \frac{h}{\sqrt{\frac{5 - \sqrt{5}}{10}} + 1}}

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

Surface to Volume Ratio of Elongated Pentagonal Pyramid given Height Example

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

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

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

0.447 = \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 \frac{15}{\sqrt{\frac{5 - \sqrt{5}}{10}} + 1}}

0.447m⁻¹ = \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 \frac{15m}{\sqrt{\frac{5 - \sqrt{5}}{10}} + 1}}

0.447 = \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 \frac{15}{\sqrt{\frac{5 - \sqrt{5}}{10}} + 1}}

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3D Geometry » fx Surface to Volume Ratio of Elongated Pentagonal Pyramid given Height

Surface to Volume Ratio of Elongated Pentagonal Pyramid given Height Solution

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

FIRST Step Consider the formula

AV = \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 \frac{h}{\sqrt{\frac{5 - \sqrt{5}}{10}} + 1}}

Next Step Substitute values of Variables

∴

AV = \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 \frac{15m}{\sqrt{\frac{5 - \sqrt{5}}{10}} + 1}}

Next Step Prepare to Evaluate

∴

AV = \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 \frac{15}{\sqrt{\frac{5 - \sqrt{5}}{10}} + 1}}

Next Step Evaluate

∴

AV = 0.446985781341636m⁻¹

LAST Step Rounding Answer

∴

AV = 0.447m⁻¹

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

Variables

Functions

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

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

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 SA:V of Elongated Pentagonal Pyramid

Go Surface to Volume Ratio of Elongated Pentagonal Pyramid

AV = \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 l e}

Go Surface to Volume Ratio of Elongated Pentagonal Pyramid given Total Surface Area

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

Go Surface to Volume Ratio of Elongated Pentagonal Pyramid given Volume

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

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

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

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

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

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

The formula of Surface to Volume Ratio of Elongated Pentagonal Pyramid given Height is expressed as SA:V of Elongated Pentagonal Pyramid = ((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*Height of Elongated Pentagonal Pyramid/(sqrt((5-sqrt(5))/10)+1)). Here is an example- 0.446986 = ((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*15/(sqrt((5-sqrt(5))/10)+1)).

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

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

What are the other ways to Calculate SA:V of Elongated Pentagonal Pyramid?

Here are the different ways to Calculate SA:V of Elongated Pentagonal Pyramid-

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

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

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

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

Surface to Volume Ratio of Elongated Pentagonal Pyramid given Height is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Elongated Pentagonal Pyramid given Height can be measured.

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