Short Edge of Deltoidal Icositetrahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34))
le(Short) = (4+sqrt(2))/7*ri/(sqrt((22+(15*sqrt(2)))/34))
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
Short Edge of Deltoidal Icositetrahedron - (Measured in Meter) - Short Edge of Deltoidal Icositetrahedron is the length of shortest edge of the identical deltoidal faces of Deltoidal Icositetrahedron.
Insphere Radius of Deltoidal Icositetrahedron - (Measured in Meter) - Insphere Radius of Deltoidal Icositetrahedron is the radius of the sphere that is contained by the Deltoidal Icositetrahedron in such a way that all the faces just touching the sphere.
STEP 1: Convert Input(s) to Base Unit
Insphere Radius of Deltoidal Icositetrahedron: 22 Meter --> 22 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le(Short) = (4+sqrt(2))/7*ri/(sqrt((22+(15*sqrt(2)))/34)) --> (4+sqrt(2))/7*22/(sqrt((22+(15*sqrt(2)))/34))
Evaluating ... ...
le(Short) = 15.0935448874971
STEP 3: Convert Result to Output's Unit
15.0935448874971 Meter --> No Conversion Required
FINAL ANSWER
15.0935448874971 15.09354 Meter <-- Short Edge of Deltoidal Icositetrahedron
(Calculation completed in 00.004 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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Vellore Institute of Technology (VIT), Bhopal
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8 Short Edge of Deltoidal Icositetrahedron Calculators

Short Edge of Deltoidal Icositetrahedron given Total Surface Area
Go Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*sqrt((7*Total Surface Area of Deltoidal Icositetrahedron)/(12*sqrt(61+(38*sqrt(2)))))
Short Edge of Deltoidal Icositetrahedron given Surface to Volume Ratio
Go Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2))))
Short Edge of Deltoidal Icositetrahedron given NonSymmetry Diagonal
Go Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*(2*NonSymmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(4+(2*sqrt(2))))
Short Edge of Deltoidal Icositetrahedron given Volume
Go Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*((7*Volume of Deltoidal Icositetrahedron)/(2*sqrt(292+(206*sqrt(2)))))^(1/3)
Short Edge of Deltoidal Icositetrahedron given Symmetry Diagonal
Go Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*(7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2))))
Short Edge of Deltoidal Icositetrahedron given Insphere Radius
Go Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34))
Short Edge of Deltoidal Icositetrahedron given Midsphere Radius
Go Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*(2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2))
Short Edge of Deltoidal Icositetrahedron
Go Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*Long Edge of Deltoidal Icositetrahedron

Short Edge of Deltoidal Icositetrahedron given Insphere Radius Formula

Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34))
le(Short) = (4+sqrt(2))/7*ri/(sqrt((22+(15*sqrt(2)))/34))

What is Deltoidal Icositetrahedron?

A Deltoidal Icositetrahedron is a polyhedron with deltoid (kite) faces, those have three angles with 81.579° and one with 115.263°. It has eight vertices with three edges and eighteen vertices with four edges. In total, it has 24 faces, 48 edges, 26 vertices.

How to Calculate Short Edge of Deltoidal Icositetrahedron given Insphere Radius?

Short Edge of Deltoidal Icositetrahedron given Insphere Radius calculator uses Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34)) to calculate the Short Edge of Deltoidal Icositetrahedron, Short Edge of Deltoidal Icositetrahedron given Insphere Radius formula is defined as the length of shortest edge of the identical deltoidal faces of Deltoidal Icositetrahedron, calculated using insphere radius of Deltoidal Icositetrahedron. Short Edge of Deltoidal Icositetrahedron is denoted by le(Short) symbol.

How to calculate Short Edge of Deltoidal Icositetrahedron given Insphere Radius using this online calculator? To use this online calculator for Short Edge of Deltoidal Icositetrahedron given Insphere Radius, enter Insphere Radius of Deltoidal Icositetrahedron (ri) and hit the calculate button. Here is how the Short Edge of Deltoidal Icositetrahedron given Insphere Radius calculation can be explained with given input values -> 15.09354 = (4+sqrt(2))/7*22/(sqrt((22+(15*sqrt(2)))/34)).

FAQ

What is Short Edge of Deltoidal Icositetrahedron given Insphere Radius?
Short Edge of Deltoidal Icositetrahedron given Insphere Radius formula is defined as the length of shortest edge of the identical deltoidal faces of Deltoidal Icositetrahedron, calculated using insphere radius of Deltoidal Icositetrahedron and is represented as le(Short) = (4+sqrt(2))/7*ri/(sqrt((22+(15*sqrt(2)))/34)) or Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34)). Insphere Radius of Deltoidal Icositetrahedron is the radius of the sphere that is contained by the Deltoidal Icositetrahedron in such a way that all the faces just touching the sphere.
How to calculate Short Edge of Deltoidal Icositetrahedron given Insphere Radius?
Short Edge of Deltoidal Icositetrahedron given Insphere Radius formula is defined as the length of shortest edge of the identical deltoidal faces of Deltoidal Icositetrahedron, calculated using insphere radius of Deltoidal Icositetrahedron is calculated using Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34)). To calculate Short Edge of Deltoidal Icositetrahedron given Insphere Radius, you need Insphere Radius of Deltoidal Icositetrahedron (ri). With our tool, you need to enter the respective value for Insphere Radius of Deltoidal Icositetrahedron 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 Short Edge of Deltoidal Icositetrahedron?
In this formula, Short Edge of Deltoidal Icositetrahedron uses Insphere Radius of Deltoidal Icositetrahedron. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*Long Edge of Deltoidal Icositetrahedron
  • Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*(7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2))))
  • Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*(2*NonSymmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(4+(2*sqrt(2))))
  • Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*sqrt((7*Total Surface Area of Deltoidal Icositetrahedron)/(12*sqrt(61+(38*sqrt(2)))))
  • Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*((7*Volume of Deltoidal Icositetrahedron)/(2*sqrt(292+(206*sqrt(2)))))^(1/3)
  • Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*(2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2))
  • Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2))))
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