Height of Pentagonal Bipyramid Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Pentagonal Bipyramid = 2*sqrt((5-sqrt(5))/10)*Edge Length of Pentagonal Bipyramid
h = 2*sqrt((5-sqrt(5))/10)*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 Pentagonal Bipyramid - (Measured in Meter) - Height of Pentagonal Bipyramid is the vertical distance from the highest point to the lowest point of the Pentagonal Bipyramid.
Edge Length of Pentagonal Bipyramid - (Measured in Meter) - Edge Length of Pentagonal Bipyramid is the length of any edge of the Pentagonal Bipyramid.
STEP 1: Convert Input(s) to Base Unit
Edge Length of 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)*le --> 2*sqrt((5-sqrt(5))/10)*10
Evaluating ... ...
h = 10.5146222423827
STEP 3: Convert Result to Output's Unit
10.5146222423827 Meter --> No Conversion Required
FINAL ANSWER
10.5146222423827 10.51462 Meter <-- Height of Pentagonal Bipyramid
(Calculation completed in 00.004 seconds)

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4 Height of Pentagonal Bipyramid Calculators

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

Height of Pentagonal Bipyramid Formula

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

What is a Pentagonal Bipyramid?

A Pentagonal Bipyramid is made of two pentagonal Johnson pyramids which are stuck together at their bases, which is the Johnson solid generally denoted by J13. It consists of 10 faces which are all equilateral triangles. Also, It has 15 edges and 7 vertices.

How to Calculate Height of Pentagonal Bipyramid?

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

How to calculate Height of Pentagonal Bipyramid using this online calculator? To use this online calculator for Height of Pentagonal Bipyramid, enter Edge Length of Pentagonal Bipyramid (le) and hit the calculate button. Here is how the Height of Pentagonal Bipyramid calculation can be explained with given input values -> 10.51462 = 2*sqrt((5-sqrt(5))/10)*10.

FAQ

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