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Edge Length of Elongated Pentagonal Bipyramid given Surface to Volume Ratio Formula

GoEdge Length of Elongated Pentagonal Bipyramid given Height Formula

GoEdge Length of Elongated Pentagonal Bipyramid given Total Surface Area Formula

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Edge Length of Elongated Pentagonal Bipyramid is the length of any edge of the Elongated Pentagonal Bipyramid. Check FAQs

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

l_e - Edge Length of Elongated Pentagonal Bipyramid?AV - SA:V of Elongated Pentagonal Bipyramid?

Edge Length of Elongated Pentagonal Bipyramid given Surface to Volume Ratio Example

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

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

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

10.0389 = \frac{\frac{5 \cdot \sqrt{3}}{2} + 5}{(\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}) \cdot 0.4}

10.0389m = \frac{\frac{5 \cdot \sqrt{3}}{2} + 5}{(\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}) \cdot 0.4m⁻¹}

10.0389 = \frac{\frac{5 \cdot \sqrt{3}}{2} + 5}{(\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}) \cdot 0.4}

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Edge Length of Elongated Pentagonal Bipyramid given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = \frac{\frac{5 \cdot \sqrt{3}}{2} + 5}{(\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}) \cdot 0.4m⁻¹}

Next Step Prepare to Evaluate

∴

l e = \frac{\frac{5 \cdot \sqrt{3}}{2} + 5}{(\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}) \cdot 0.4}

Next Step Evaluate

∴

l e = 10.0389445031244m

LAST Step Rounding Answer

∴

l e = 10.0389m

Edge Length of Elongated Pentagonal Bipyramid given Surface to Volume Ratio Formula Elements

Variables

Functions

Edge Length of Elongated Pentagonal Bipyramid

Edge Length of Elongated Pentagonal Bipyramid is the length of any edge of the Elongated Pentagonal Bipyramid.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Elongated Pentagonal Bipyramid

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

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 Edge Length of Elongated Pentagonal Bipyramid

Go Edge Length of Elongated Pentagonal Bipyramid given Height

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

Go Edge Length of Elongated Pentagonal Bipyramid given Total Surface Area

l e = \sqrt{\frac{SA Total}{\frac{5 \cdot \sqrt{3}}{2} + 5}}

Go Edge Length of Elongated Pentagonal Bipyramid given Volume

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

How to Evaluate Edge Length of Elongated Pentagonal Bipyramid given Surface to Volume Ratio?

Edge Length of Elongated Pentagonal Bipyramid given Surface to Volume Ratio evaluator uses Edge Length of Elongated Pentagonal Bipyramid = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*SA:V of Elongated Pentagonal Bipyramid) to evaluate the Edge Length of Elongated Pentagonal Bipyramid, The Edge Length of Elongated Pentagonal Bipyramid given Surface to Volume Ratio formula is defined as the length of any edge of the Elongated Pentagonal Bipyramid and is calculated using the surface to volume ratio of the Elongated Pentagonal Bipyramid. Edge Length of Elongated Pentagonal Bipyramid is denoted by l_e symbol.

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

FAQs on Edge Length of Elongated Pentagonal Bipyramid given Surface to Volume Ratio

What is the formula to find Edge Length of Elongated Pentagonal Bipyramid given Surface to Volume Ratio?

The formula of Edge Length of Elongated Pentagonal Bipyramid given Surface to Volume Ratio is expressed as Edge Length of Elongated Pentagonal Bipyramid = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*SA:V of Elongated Pentagonal Bipyramid). Here is an example- 10.03894 = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*0.4).

How to calculate Edge Length of Elongated Pentagonal Bipyramid given Surface to Volume Ratio?

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

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

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

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

Can the Edge Length of Elongated Pentagonal Bipyramid given Surface to Volume Ratio be negative?

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

Which unit is used to measure Edge Length of Elongated Pentagonal Bipyramid given Surface to Volume Ratio?

Edge Length of Elongated Pentagonal Bipyramid 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 Edge Length of Elongated Pentagonal Bipyramid given Surface to Volume Ratio can be measured.

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