Medium Edge of Hexakis Icosahedron Solution

STEP 0: Pre-Calculation Summary
Formula Used
Medium Edge of Hexakis Icosahedron = (3/22)*(4+sqrt(5))*Long Edge of Hexakis Icosahedron
le(Medium) = (3/22)*(4+sqrt(5))*le(Long)
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
Medium Edge of Hexakis Icosahedron - (Measured in Meter) - Medium Edge of Hexakis Icosahedron is the length of the edge that connects two non-adjacent and non-opposite vertices of the Hexakis Icosahedron.
Long Edge of Hexakis Icosahedron - (Measured in Meter) - Long Edge of Hexakis Icosahedron is the length of the longest edge that connects two opposite vertices of the Hexakis Icosahedron.
STEP 1: Convert Input(s) to Base Unit
Long Edge of Hexakis Icosahedron: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le(Medium) = (3/22)*(4+sqrt(5))*le(Long) --> (3/22)*(4+sqrt(5))*10
Evaluating ... ...
le(Medium) = 8.50372906022699
STEP 3: Convert Result to Output's Unit
8.50372906022699 Meter --> No Conversion Required
FINAL ANSWER
8.50372906022699 8.503729 Meter <-- Medium Edge of Hexakis Icosahedron
(Calculation completed in 00.004 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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Verified by Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
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8 Medium Edge of Hexakis Icosahedron Calculators

Medium Edge of Hexakis Icosahedron given Surface to Volume Ratio
Go Medium Edge of Hexakis Icosahedron = (3/22)*(4+sqrt(5))*(((6/5)*(sqrt(10*(417+(107*sqrt(5))))))/(Surface to Volume Ratio of Hexakis Icosahedron*(sqrt(6*(185+(82*sqrt(5)))))))
Medium Edge of Hexakis Icosahedron given Total Surface Area
Go Medium Edge of Hexakis Icosahedron = (3/22)*(4+sqrt(5))*(sqrt((44*Total Surface Area of Hexakis Icosahedron)/(15*(sqrt(10*(417+(107*sqrt(5))))))))
Medium Edge of Hexakis Icosahedron given Insphere Radius
Go Medium Edge of Hexakis Icosahedron = (3/22)*(4+sqrt(5))*((4*Insphere Radius of Hexakis Icosahedron)/(sqrt((15/241)*(275+(119*sqrt(5))))))
Medium Edge of Hexakis Icosahedron given Volume
Go Medium Edge of Hexakis Icosahedron = (3/22)*(4+sqrt(5))*(((88*Volume of Hexakis Icosahedron)/(25*(sqrt(6*(185+(82*sqrt(5)))))))^(1/3))
Medium Edge of Hexakis Icosahedron given Truncated Icosidodecahedron Edge
Go Medium Edge of Hexakis Icosahedron = (3/22)*(4+sqrt(5))*(2/5)*(sqrt(15*(5-sqrt(5))))*Truncated Edge of Hexakis Icosahedron
Medium Edge of Hexakis Icosahedron given Midsphere Radius
Go Medium Edge of Hexakis Icosahedron = (3/22)*(4+sqrt(5))*((8*Midsphere Radius of Hexakis Icosahedron)/(5+(3*sqrt(5))))
Medium Edge of Hexakis Icosahedron given Short Edge
Go Medium Edge of Hexakis Icosahedron = (3/22)*(4+sqrt(5))*((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))
Medium Edge of Hexakis Icosahedron
Go Medium Edge of Hexakis Icosahedron = (3/22)*(4+sqrt(5))*Long Edge of Hexakis Icosahedron

Medium Edge of Hexakis Icosahedron Formula

Medium Edge of Hexakis Icosahedron = (3/22)*(4+sqrt(5))*Long Edge of Hexakis Icosahedron
le(Medium) = (3/22)*(4+sqrt(5))*le(Long)

What is Hexakis Icosahedron?

A Hexakis Icosahedron is a polyhedron with identical, but irregular triangle faces. It has thirty vertices with four edges, twenty vertices with six edges and twelve vertices with ten edges.
It has 120 faces, 180 edges, 62 vertices.

How to Calculate Medium Edge of Hexakis Icosahedron?

Medium Edge of Hexakis Icosahedron calculator uses Medium Edge of Hexakis Icosahedron = (3/22)*(4+sqrt(5))*Long Edge of Hexakis Icosahedron to calculate the Medium Edge of Hexakis Icosahedron, Medium Edge of Hexakis Icosahedron formula is defined as the length of the edge that connects two non-adjacent and non-opposite vertices of the Hexakis Icosahedron. Medium Edge of Hexakis Icosahedron is denoted by le(Medium) symbol.

How to calculate Medium Edge of Hexakis Icosahedron using this online calculator? To use this online calculator for Medium Edge of Hexakis Icosahedron, enter Long Edge of Hexakis Icosahedron (le(Long)) and hit the calculate button. Here is how the Medium Edge of Hexakis Icosahedron calculation can be explained with given input values -> 8.503729 = (3/22)*(4+sqrt(5))*10.

FAQ

What is Medium Edge of Hexakis Icosahedron?
Medium Edge of Hexakis Icosahedron formula is defined as the length of the edge that connects two non-adjacent and non-opposite vertices of the Hexakis Icosahedron and is represented as le(Medium) = (3/22)*(4+sqrt(5))*le(Long) or Medium Edge of Hexakis Icosahedron = (3/22)*(4+sqrt(5))*Long Edge of Hexakis Icosahedron. Long Edge of Hexakis Icosahedron is the length of the longest edge that connects two opposite vertices of the Hexakis Icosahedron.
How to calculate Medium Edge of Hexakis Icosahedron?
Medium Edge of Hexakis Icosahedron formula is defined as the length of the edge that connects two non-adjacent and non-opposite vertices of the Hexakis Icosahedron is calculated using Medium Edge of Hexakis Icosahedron = (3/22)*(4+sqrt(5))*Long Edge of Hexakis Icosahedron. To calculate Medium Edge of Hexakis Icosahedron, you need Long Edge of Hexakis Icosahedron (le(Long)). With our tool, you need to enter the respective value for Long Edge of Hexakis Icosahedron 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 Medium Edge of Hexakis Icosahedron?
In this formula, Medium Edge of Hexakis Icosahedron uses Long Edge of Hexakis Icosahedron. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • Medium Edge of Hexakis Icosahedron = (3/22)*(4+sqrt(5))*((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))
  • Medium Edge of Hexakis Icosahedron = (3/22)*(4+sqrt(5))*(2/5)*(sqrt(15*(5-sqrt(5))))*Truncated Edge of Hexakis Icosahedron
  • Medium Edge of Hexakis Icosahedron = (3/22)*(4+sqrt(5))*(sqrt((44*Total Surface Area of Hexakis Icosahedron)/(15*(sqrt(10*(417+(107*sqrt(5))))))))
  • Medium Edge of Hexakis Icosahedron = (3/22)*(4+sqrt(5))*(((88*Volume of Hexakis Icosahedron)/(25*(sqrt(6*(185+(82*sqrt(5)))))))^(1/3))
  • Medium Edge of Hexakis Icosahedron = (3/22)*(4+sqrt(5))*((8*Midsphere Radius of Hexakis Icosahedron)/(5+(3*sqrt(5))))
  • Medium Edge of Hexakis Icosahedron = (3/22)*(4+sqrt(5))*((4*Insphere Radius of Hexakis Icosahedron)/(sqrt((15/241)*(275+(119*sqrt(5))))))
  • Medium Edge of Hexakis Icosahedron = (3/22)*(4+sqrt(5))*(((6/5)*(sqrt(10*(417+(107*sqrt(5))))))/(Surface to Volume Ratio of Hexakis Icosahedron*(sqrt(6*(185+(82*sqrt(5)))))))
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