Short Edge of Deltoidal Icositetrahedron given Surface to Volume Ratio Calculator

✖SA:V of Deltoidal Icositetrahedron is what part of or fraction of total volume of Deltoidal Icositetrahedron is the total surface area.ⓘ SA:V of Deltoidal Icositetrahedron [AV]

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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 Surface to Volume Ratio [l_e(Short)]

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Formula

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Short Edge of Deltoidal Icositetrahedron given Surface to Volume Ratio

Formula

`"l"_{"e(Short)"} = (4+sqrt(2))/7*6/"AV"*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2))))`

Example

`"20.58211m"=(4+sqrt(2))/7*6/"0.1m⁻¹"*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2))))`

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Short Edge of Deltoidal Icositetrahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2))))
l_e(Short) = (4+sqrt(2))/7*6/AV*sqrt((61+(38*sqrt(2)))/(292+(206*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.
SA:V of Deltoidal Icositetrahedron - (Measured in 1 per Meter) - SA:V of Deltoidal Icositetrahedron is what part of or fraction of total volume of Deltoidal Icositetrahedron is the total surface area.

STEP 1: Convert Input(s) to Base Unit

SA:V of Deltoidal Icositetrahedron: 0.1 1 per Meter --> 0.1 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Short) = (4+sqrt(2))/7*6/AV*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))) --> (4+sqrt(2))/7*6/0.1*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2))))

Evaluating ... ...

l_e(Short) = 20.5821066647688

STEP 3: Convert Result to Output's Unit

20.5821066647688 Meter --> No Conversion Required

FINAL ANSWER

20.5821066647688 ≈ 20.58211 Meter <-- Short Edge of Deltoidal Icositetrahedron

(Calculation completed in 00.020 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Verified by Anamika Mittal

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 Surface to Volume Ratio Formula

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 Surface to Volume Ratio?

Short Edge of Deltoidal Icositetrahedron given Surface to Volume Ratio calculator uses Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))) to calculate the Short Edge of Deltoidal Icositetrahedron, Short Edge of Deltoidal Icositetrahedron given Surface to Volume Ratio formula is defined as the length of shortest edge of the identical deltoidal faces of Deltoidal Icositetrahedron, calculated using surface to volume ratio of Deltoidal Icositetrahedron. Short Edge of Deltoidal Icositetrahedron is denoted by l_e(Short) symbol.

How to calculate Short Edge of Deltoidal Icositetrahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Short Edge of Deltoidal Icositetrahedron given Surface to Volume Ratio, enter SA:V of Deltoidal Icositetrahedron (AV) and hit the calculate button. Here is how the Short Edge of Deltoidal Icositetrahedron given Surface to Volume Ratio calculation can be explained with given input values -> 20.58211 = (4+sqrt(2))/7*6/0.1*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))).

FAQ

What is Short Edge of Deltoidal Icositetrahedron given Surface to Volume Ratio?

Short Edge of Deltoidal Icositetrahedron given Surface to Volume Ratio formula is defined as the length of shortest edge of the identical deltoidal faces of Deltoidal Icositetrahedron, calculated using surface to volume ratio of Deltoidal Icositetrahedron and is represented as l_e(Short) = (4+sqrt(2))/7*6/AV*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))) or Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))). SA:V of Deltoidal Icositetrahedron is what part of or fraction of total volume of Deltoidal Icositetrahedron is the total surface area.

How to calculate Short Edge of Deltoidal Icositetrahedron given Surface to Volume Ratio?

Short Edge of Deltoidal Icositetrahedron given Surface to Volume Ratio formula is defined as the length of shortest edge of the identical deltoidal faces of Deltoidal Icositetrahedron, calculated using surface to volume ratio of Deltoidal Icositetrahedron is calculated using Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))). To calculate Short Edge of Deltoidal Icositetrahedron given Surface to Volume Ratio, you need SA:V of Deltoidal Icositetrahedron (AV). With our tool, you need to enter the respective value for SA:V 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 SA:V 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*Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34))

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