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Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Total Surface Area Formula

GoSurface to Volume Ratio of Elongated Pentagonal Bipyramid Formula

GoSurface to Volume Ratio of Elongated Pentagonal Bipyramid given Height Formula

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

AV = \frac{\frac{5 \cdot \sqrt{3}}{2} + 5}{(\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}) \cdot \sqrt{\frac{SA Total}{(\frac{5 \cdot \sqrt{3}}{2}) + 5}}}

AV - SA:V of Elongated Pentagonal Bipyramid?SA_Total - TSA of Elongated Pentagonal Bipyramid?

Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Total Surface Area Example

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Here is how the Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Total Surface Area equation looks like with Values.

Here is how the Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Total Surface Area equation looks like with Units.

Here is how the Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Total Surface Area equation looks like.

0.4022 = \frac{\frac{5 \cdot \sqrt{3}}{2} + 5}{(\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}) \cdot \sqrt{\frac{930}{(\frac{5 \cdot \sqrt{3}}{2}) + 5}}}

0.4022m⁻¹ = \frac{\frac{5 \cdot \sqrt{3}}{2} + 5}{(\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}) \cdot \sqrt{\frac{930m²}{(\frac{5 \cdot \sqrt{3}}{2}) + 5}}}

0.4022 = \frac{\frac{5 \cdot \sqrt{3}}{2} + 5}{(\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}) \cdot \sqrt{\frac{930}{(\frac{5 \cdot \sqrt{3}}{2}) + 5}}}

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Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Total Surface Area Solution

Follow our step by step solution on how to calculate Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Total Surface Area?

FIRST Step Consider the formula

AV = \frac{\frac{5 \cdot \sqrt{3}}{2} + 5}{(\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}) \cdot \sqrt{\frac{SA Total}{(\frac{5 \cdot \sqrt{3}}{2}) + 5}}}

Next Step Substitute values of Variables

∴

AV = \frac{\frac{5 \cdot \sqrt{3}}{2} + 5}{(\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}) \cdot \sqrt{\frac{930m²}{(\frac{5 \cdot \sqrt{3}}{2}) + 5}}}

Next Step Prepare to Evaluate

∴

AV = \frac{\frac{5 \cdot \sqrt{3}}{2} + 5}{(\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}) \cdot \sqrt{\frac{930}{(\frac{5 \cdot \sqrt{3}}{2}) + 5}}}

Next Step Evaluate

∴

AV = 0.402207670293201m⁻¹

LAST Step Rounding Answer

∴

AV = 0.4022m⁻¹

Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Total Surface Area Formula Elements

Variables

Functions

SA:V of Elongated Pentagonal Bipyramid

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

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V of Elongated Pentagonal Bipyramid

TSA of Elongated Pentagonal Bipyramid

TSA of Elongated Pentagonal Bipyramid is the total amount of two-dimensional space occupied by all the faces of the Elongated Pentagonal Bipyramid.

Symbol: SA_Total

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find TSA 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 SA:V of Elongated Pentagonal Bipyramid

Go Surface to Volume Ratio of Elongated Pentagonal Bipyramid

AV = \frac{\frac{5 \cdot \sqrt{3}}{2} + 5}{(\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}) \cdot l e}

Go Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Height

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

Go Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Volume

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

How to Evaluate Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Total Surface Area?

Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Total Surface Area evaluator uses SA:V of Elongated Pentagonal Bipyramid = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*sqrt(TSA of Elongated Pentagonal Bipyramid/(((5*sqrt(3))/2)+5))) to evaluate the SA:V of Elongated Pentagonal Bipyramid, The Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Total Surface Area formula is defined as the numerical ratio of the total surface area of the Elongated Pentagonal Bipyramid to the volume of the Elongated Pentagonal Bipyramid and is calculated using the total surface area of the Elongated Pentagonal Bipyramid. SA:V of Elongated Pentagonal Bipyramid is denoted by AV symbol.

How to evaluate Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Total Surface Area using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Total Surface Area, enter TSA of Elongated Pentagonal Bipyramid (SA_Total) and hit the calculate button.

FAQs on Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Total Surface Area

What is the formula to find Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Total Surface Area?

The formula of Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Total Surface Area is expressed as SA:V of Elongated Pentagonal Bipyramid = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*sqrt(TSA of Elongated Pentagonal Bipyramid/(((5*sqrt(3))/2)+5))). Here is an example- 0.402208 = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*sqrt(930/(((5*sqrt(3))/2)+5))).

How to calculate Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Total Surface Area?

With TSA of Elongated Pentagonal Bipyramid (SA_Total) we can find Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Total Surface Area using the formula - SA:V of Elongated Pentagonal Bipyramid = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*sqrt(TSA of Elongated Pentagonal Bipyramid/(((5*sqrt(3))/2)+5))). This formula also uses Square Root (sqrt) function(s).

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

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

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

Can the Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Total Surface Area be negative?

No, the Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Total Surface Area, measured in Reciprocal Length cannot be negative.

Which unit is used to measure Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Total Surface Area?

Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Total Surface Area 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 Bipyramid given Total Surface Area can be measured.

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