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

✖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.ⓘ SA:V of Elongated Pentagonal Bipyramid [AV]

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✖Edge Length of Elongated Pentagonal Bipyramid is the length of any edge of the Elongated Pentagonal Bipyramid.ⓘ Edge Length of Elongated Pentagonal Bipyramid given Surface to Volume Ratio [l_e]

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Formula

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Edge Length of Elongated Pentagonal Bipyramid given Surface to Volume Ratio

Formula

`"l"_{"e"} = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*"AV")`

Example

`"10.03894m"=((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*"0.4m⁻¹")`

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
l_e = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*AV)
This formula uses 1 Functions, 2 Variables

Functions Used

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., sqrt(Number)

Variables Used

Edge Length of Elongated Pentagonal Bipyramid - (Measured in Meter) - Edge Length of Elongated Pentagonal Bipyramid is the length of any edge of the Elongated Pentagonal Bipyramid.
SA:V of Elongated Pentagonal Bipyramid - (Measured in 1 per Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

SA:V of Elongated Pentagonal Bipyramid: 0.4 1 per Meter --> 0.4 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*AV) --> ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*0.4)

Evaluating ... ...

l_e = 10.0389445031244

STEP 3: Convert Result to Output's Unit

10.0389445031244 Meter --> No Conversion Required

FINAL ANSWER

10.0389445031244 ≈ 10.03894 Meter <-- Edge Length of Elongated Pentagonal Bipyramid

(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru

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Indian Institute of Information Technology (IIIT), Bhopal

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< 4 Edge Length of Elongated Pentagonal Bipyramid Calculators

Edge Length of Elongated Pentagonal Bipyramid given Surface to Volume Ratio

Go 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)

Edge Length of Elongated Pentagonal Bipyramid given Volume

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

Edge Length of Elongated Pentagonal Bipyramid given Height

Go Edge Length of Elongated Pentagonal Bipyramid = Height of Elongated Pentagonal Bipyramid/((2*sqrt((5-sqrt(5))/10))+1)

Edge Length of Elongated Pentagonal Bipyramid given Total Surface Area

Go Edge Length of Elongated Pentagonal Bipyramid = sqrt(TSA of Elongated Pentagonal Bipyramid/((5*sqrt(3))/2+5))

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

What is an Elongated Pentagonal Bipyramid?

The Elongated Pentagonal Bipyramid is a regular elongated pentagonal pyramid with another regular pyramid attached on the other side, which is the Johnson solid generally denoted by J16. It consists of 15 faces which include 10 equilateral triangles as pyramid faces, and 5 squares as side surfaces. Also, It has 25 edges and 12 vertices.

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

Edge Length of Elongated Pentagonal Bipyramid given Surface to Volume Ratio calculator 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 calculate 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 calculate Edge Length of Elongated Pentagonal Bipyramid given Surface to Volume Ratio using this online calculator? To use this online calculator 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. Here is how the Edge Length of Elongated Pentagonal Bipyramid given Surface to Volume Ratio calculation can be explained with given input values -> 10.03894 = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*0.4).

FAQ

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

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 and is represented as l_e = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*AV) or 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). 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.

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

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 is calculated using 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 calculate Edge Length of Elongated Pentagonal Bipyramid given Surface to Volume Ratio, you need SA:V of Elongated Pentagonal Bipyramid (AV). With our tool, you need to enter the respective value for SA:V of Elongated Pentagonal Bipyramid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Edge Length of Elongated Pentagonal Bipyramid?

In this formula, Edge Length of Elongated Pentagonal Bipyramid uses SA:V of Elongated Pentagonal Bipyramid. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)

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