Edge Length of Elongated Pentagonal Bipyramid given Total Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Edge Length of Elongated Pentagonal Bipyramid = sqrt(TSA of Elongated Pentagonal Bipyramid/((5*sqrt(3))/2+5))
le = sqrt(SATotal/((5*sqrt(3))/2+5))
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.
TSA of Elongated Pentagonal Bipyramid - (Measured in Square Meter) - TSA of Elongated Pentagonal Bipyramid is the total amount of two-dimensional space occupied by all the faces of the Elongated Pentagonal Bipyramid.
STEP 1: Convert Input(s) to Base Unit
TSA of Elongated Pentagonal Bipyramid: 930 Square Meter --> 930 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le = sqrt(SATotal/((5*sqrt(3))/2+5)) --> sqrt(930/((5*sqrt(3))/2+5))
Evaluating ... ...
le = 9.98384192504958
STEP 3: Convert Result to Output's Unit
9.98384192504958 Meter --> No Conversion Required
FINAL ANSWER
9.98384192504958 9.983842 Meter <-- Edge Length of Elongated Pentagonal Bipyramid
(Calculation completed in 00.004 seconds)

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Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
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Indian Institute of Information Technology (IIIT), Bhopal
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Edge Length of Elongated Pentagonal Bipyramid Calculators

Edge Length of Elongated Pentagonal Bipyramid given Surface to Volume Ratio
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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 Total Surface Area Formula

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

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 Total Surface Area?

Edge Length of Elongated Pentagonal Bipyramid given Total Surface Area calculator uses Edge Length of Elongated Pentagonal Bipyramid = sqrt(TSA of Elongated Pentagonal Bipyramid/((5*sqrt(3))/2+5)) to calculate the Edge Length of Elongated Pentagonal Bipyramid, The Edge Length of Elongated Pentagonal Bipyramid given Total Surface Area formula is defined as the length of any edge of the Elongated Pentagonal Bipyramid and is calculated using the total surface area of the Elongated Pentagonal Bipyramid. Edge Length of Elongated Pentagonal Bipyramid is denoted by le symbol.

How to calculate Edge Length of Elongated Pentagonal Bipyramid given Total Surface Area using this online calculator? To use this online calculator for Edge Length of Elongated Pentagonal Bipyramid given Total Surface Area, enter TSA of Elongated Pentagonal Bipyramid (SATotal) and hit the calculate button. Here is how the Edge Length of Elongated Pentagonal Bipyramid given Total Surface Area calculation can be explained with given input values -> 9.983842 = sqrt(930/((5*sqrt(3))/2+5)).

FAQ

What is Edge Length of Elongated Pentagonal Bipyramid given Total Surface Area?
The Edge Length of Elongated Pentagonal Bipyramid given Total Surface Area formula is defined as the length of any edge of the Elongated Pentagonal Bipyramid and is calculated using the total surface area of the Elongated Pentagonal Bipyramid and is represented as le = sqrt(SATotal/((5*sqrt(3))/2+5)) or Edge Length of Elongated Pentagonal Bipyramid = sqrt(TSA of Elongated Pentagonal Bipyramid/((5*sqrt(3))/2+5)). TSA of Elongated Pentagonal Bipyramid is the total amount of two-dimensional space occupied by all the faces of the Elongated Pentagonal Bipyramid.
How to calculate Edge Length of Elongated Pentagonal Bipyramid given Total Surface Area?
The Edge Length of Elongated Pentagonal Bipyramid given Total Surface Area formula is defined as the length of any edge of the Elongated Pentagonal Bipyramid and is calculated using the total surface area of the Elongated Pentagonal Bipyramid is calculated using Edge Length of Elongated Pentagonal Bipyramid = sqrt(TSA of Elongated Pentagonal Bipyramid/((5*sqrt(3))/2+5)). To calculate Edge Length of Elongated Pentagonal Bipyramid given Total Surface Area, you need TSA of Elongated Pentagonal Bipyramid (SATotal). With our tool, you need to enter the respective value for TSA 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 TSA 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 = (Volume of Elongated Pentagonal Bipyramid/((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4))^(1/3)
  • 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)
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