Short Edge of Deltoidal Icositetrahedron given Midsphere Radius Calculator

✖Midsphere Radius of Deltoidal Icositetrahedron is the radius of the sphere for which all the edges of the Deltoidal Icositetrahedron become a tangent line on that sphere.ⓘ Midsphere Radius of Deltoidal Icositetrahedron [r_m]

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✖Short Edge of Deltoidal Icositetrahedron is the length of shortest edge of the identical deltoidal faces of Deltoidal Icositetrahedron.ⓘ Short Edge of Deltoidal Icositetrahedron given Midsphere Radius [l_e(Short)]

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Formula

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Short Edge of Deltoidal Icositetrahedron given Midsphere Radius

Formula

`"l"_{"e(Short)"} = (4+sqrt(2))/7*(2*"r"_{"m"})/(1+sqrt(2))`

Example

`"15.37811m"=(4+sqrt(2))/7*(2*"24m")/(1+sqrt(2))`

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Short Edge of Deltoidal Icositetrahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*(2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2))
l_e(Short) = (4+sqrt(2))/7*(2*r_m)/(1+sqrt(2))
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.
Midsphere Radius of Deltoidal Icositetrahedron - (Measured in Meter) - Midsphere Radius of Deltoidal Icositetrahedron is the radius of the sphere for which all the edges of the Deltoidal Icositetrahedron become a tangent line on that sphere.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Deltoidal Icositetrahedron: 24 Meter --> 24 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Short) = (4+sqrt(2))/7*(2*r_m)/(1+sqrt(2)) --> (4+sqrt(2))/7*(2*24)/(1+sqrt(2))

Evaluating ... ...

l_e(Short) = 15.378107568818

STEP 3: Convert Result to Output's Unit

15.378107568818 Meter --> No Conversion Required

FINAL ANSWER

15.378107568818 ≈ 15.37811 Meter <-- Short Edge of Deltoidal Icositetrahedron

(Calculation completed in 00.004 seconds)

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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 Midsphere Radius Formula

Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*(2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2))
l_e(Short) = (4+sqrt(2))/7*(2*r_m)/(1+sqrt(2))

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 Midsphere Radius?

Short Edge of Deltoidal Icositetrahedron given Midsphere Radius calculator uses Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*(2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2)) to calculate the Short Edge of Deltoidal Icositetrahedron, Short Edge of Deltoidal Icositetrahedron given Midsphere Radius formula is defined as the length of shortest edge of the identical deltoidal faces of Deltoidal Icositetrahedron, calculated using midsphere radius of Deltoidal Icositetrahedron. Short Edge of Deltoidal Icositetrahedron is denoted by l_e(Short) symbol.

How to calculate Short Edge of Deltoidal Icositetrahedron given Midsphere Radius using this online calculator? To use this online calculator for Short Edge of Deltoidal Icositetrahedron given Midsphere Radius, enter Midsphere Radius of Deltoidal Icositetrahedron (r_m) and hit the calculate button. Here is how the Short Edge of Deltoidal Icositetrahedron given Midsphere Radius calculation can be explained with given input values -> 15.37811 = (4+sqrt(2))/7*(2*24)/(1+sqrt(2)).

FAQ

What is Short Edge of Deltoidal Icositetrahedron given Midsphere Radius?

Short Edge of Deltoidal Icositetrahedron given Midsphere Radius formula is defined as the length of shortest edge of the identical deltoidal faces of Deltoidal Icositetrahedron, calculated using midsphere radius of Deltoidal Icositetrahedron and is represented as l_e(Short) = (4+sqrt(2))/7*(2*r_m)/(1+sqrt(2)) or Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*(2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2)). Midsphere Radius of Deltoidal Icositetrahedron is the radius of the sphere for which all the edges of the Deltoidal Icositetrahedron become a tangent line on that sphere.

How to calculate Short Edge of Deltoidal Icositetrahedron given Midsphere Radius?

Short Edge of Deltoidal Icositetrahedron given Midsphere Radius formula is defined as the length of shortest edge of the identical deltoidal faces of Deltoidal Icositetrahedron, calculated using midsphere radius of Deltoidal Icositetrahedron is calculated using Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*(2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2)). To calculate Short Edge of Deltoidal Icositetrahedron given Midsphere Radius, you need Midsphere Radius of Deltoidal Icositetrahedron (r_m). With our tool, you need to enter the respective value for Midsphere 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 Midsphere 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*Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34))
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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