Height of Elongated Pentagonal Bipyramid Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Elongated Pentagonal Bipyramid = ((2*sqrt((5-sqrt(5))/10))+1)*Edge Length of Elongated Pentagonal Bipyramid
h = ((2*sqrt((5-sqrt(5))/10))+1)*le
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
Height of Elongated Pentagonal Bipyramid - (Measured in Meter) - Height of Elongated Pentagonal Bipyramid is the vertical distance from the highest point to the lowest point of the Elongated Pentagonal Bipyramid.
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.
STEP 1: Convert Input(s) to Base Unit
Edge Length of Elongated Pentagonal Bipyramid: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = ((2*sqrt((5-sqrt(5))/10))+1)*le --> ((2*sqrt((5-sqrt(5))/10))+1)*10
Evaluating ... ...
h = 20.5146222423827
STEP 3: Convert Result to Output's Unit
20.5146222423827 Meter --> No Conversion Required
FINAL ANSWER
20.5146222423827 20.51462 Meter <-- Height of Elongated Pentagonal Bipyramid
(Calculation completed in 00.004 seconds)

Credits

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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4 Height of Elongated Pentagonal Bipyramid Calculators

Height of Elongated Pentagonal Bipyramid given Surface to Volume Ratio
Go Height of Elongated Pentagonal Bipyramid = ((2*sqrt((5-sqrt(5))/10))+1)*(((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*SA:V of Elongated Pentagonal Bipyramid))
Height of Elongated Pentagonal Bipyramid given Volume
Go Height of Elongated Pentagonal Bipyramid = ((2*sqrt((5-sqrt(5))/10))+1)*(Volume of Elongated Pentagonal Bipyramid/((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4))^(1/3)
Height of Elongated Pentagonal Bipyramid given Total Surface Area
Go Height of Elongated Pentagonal Bipyramid = ((2*sqrt((5-sqrt(5))/10))+1)*sqrt(TSA of Elongated Pentagonal Bipyramid/((5*sqrt(3))/2+5))
Height of Elongated Pentagonal Bipyramid
Go Height of Elongated Pentagonal Bipyramid = ((2*sqrt((5-sqrt(5))/10))+1)*Edge Length of Elongated Pentagonal Bipyramid

Height of Elongated Pentagonal Bipyramid Formula

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

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 Height of Elongated Pentagonal Bipyramid?

Height of Elongated Pentagonal Bipyramid calculator uses Height of Elongated Pentagonal Bipyramid = ((2*sqrt((5-sqrt(5))/10))+1)*Edge Length of Elongated Pentagonal Bipyramid to calculate the Height of Elongated Pentagonal Bipyramid, The Height of Elongated Pentagonal Bipyramid formula is defined as the vertical distance from the highest point to the lowest point of the Elongated Pentagonal Bipyramid. Height of Elongated Pentagonal Bipyramid is denoted by h symbol.

How to calculate Height of Elongated Pentagonal Bipyramid using this online calculator? To use this online calculator for Height of Elongated Pentagonal Bipyramid, enter Edge Length of Elongated Pentagonal Bipyramid (le) and hit the calculate button. Here is how the Height of Elongated Pentagonal Bipyramid calculation can be explained with given input values -> 20.51462 = ((2*sqrt((5-sqrt(5))/10))+1)*10.

FAQ

What is Height of Elongated Pentagonal Bipyramid?
The Height of Elongated Pentagonal Bipyramid formula is defined as the vertical distance from the highest point to the lowest point of the Elongated Pentagonal Bipyramid and is represented as h = ((2*sqrt((5-sqrt(5))/10))+1)*le or Height of Elongated Pentagonal Bipyramid = ((2*sqrt((5-sqrt(5))/10))+1)*Edge Length of Elongated Pentagonal Bipyramid. Edge Length of Elongated Pentagonal Bipyramid is the length of any edge of the Elongated Pentagonal Bipyramid.
How to calculate Height of Elongated Pentagonal Bipyramid?
The Height of Elongated Pentagonal Bipyramid formula is defined as the vertical distance from the highest point to the lowest point of the Elongated Pentagonal Bipyramid is calculated using Height of Elongated Pentagonal Bipyramid = ((2*sqrt((5-sqrt(5))/10))+1)*Edge Length of Elongated Pentagonal Bipyramid. To calculate Height of Elongated Pentagonal Bipyramid, you need Edge Length of Elongated Pentagonal Bipyramid (le). With our tool, you need to enter the respective value for Edge Length 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 Height of Elongated Pentagonal Bipyramid?
In this formula, Height of Elongated Pentagonal Bipyramid uses Edge Length of Elongated Pentagonal Bipyramid. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Height of Elongated Pentagonal Bipyramid = ((2*sqrt((5-sqrt(5))/10))+1)*sqrt(TSA of Elongated Pentagonal Bipyramid/((5*sqrt(3))/2+5))
  • Height of Elongated Pentagonal Bipyramid = ((2*sqrt((5-sqrt(5))/10))+1)*(Volume of Elongated Pentagonal Bipyramid/((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4))^(1/3)
  • Height of Elongated Pentagonal Bipyramid = ((2*sqrt((5-sqrt(5))/10))+1)*(((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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