Long Edge of Deltoidal Icositetrahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Long Edge of Deltoidal Icositetrahedron = 6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2))))
le(Long) = 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
Long Edge of Deltoidal Icositetrahedron - (Measured in Meter) - Long Edge of Deltoidal Icositetrahedron is the length of longest 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
le(Long) = 6/AV*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))) --> 6/0.1*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2))))
Evaluating ... ...
le(Long) = 26.6104661357748
STEP 3: Convert Result to Output's Unit
26.6104661357748 Meter --> No Conversion Required
FINAL ANSWER
26.6104661357748 26.61047 Meter <-- Long Edge of Deltoidal Icositetrahedron
(Calculation completed in 00.020 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 Long Edge of Deltoidal Icositetrahedron Calculators

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

Long Edge of Deltoidal Icositetrahedron given Surface to Volume Ratio Formula

Long Edge of Deltoidal Icositetrahedron = 6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2))))
le(Long) = 6/AV*sqrt((61+(38*sqrt(2)))/(292+(206*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 Long Edge of Deltoidal Icositetrahedron given Surface to Volume Ratio?

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

How to calculate Long Edge of Deltoidal Icositetrahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Long 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 Long Edge of Deltoidal Icositetrahedron given Surface to Volume Ratio calculation can be explained with given input values -> 26.61047 = 6/0.1*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))) .

FAQ

What is Long Edge of Deltoidal Icositetrahedron given Surface to Volume Ratio?
Long Edge of Deltoidal Icositetrahedron given Surface to Volume Ratio formula is defined as the length of longest edge of the identical deltoidal faces of Deltoidal Icositetrahedron, calculated using surface to volume ratio of Deltoidal Icositetrahedron and is represented as le(Long) = 6/AV*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))) or Long Edge of Deltoidal Icositetrahedron = 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 Long Edge of Deltoidal Icositetrahedron given Surface to Volume Ratio?
Long Edge of Deltoidal Icositetrahedron given Surface to Volume Ratio formula is defined as the length of longest edge of the identical deltoidal faces of Deltoidal Icositetrahedron, calculated using surface to volume ratio of Deltoidal Icositetrahedron is calculated using Long Edge of Deltoidal Icositetrahedron = 6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))). To calculate Long 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 Long Edge of Deltoidal Icositetrahedron?
In this formula, Long 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 -
  • Long Edge of Deltoidal Icositetrahedron = (7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2))
  • Long Edge of Deltoidal Icositetrahedron = (7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2))))
  • Long Edge of Deltoidal Icositetrahedron = (2*NonSymmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(4+(2*sqrt(2))))
  • Long Edge of Deltoidal Icositetrahedron = sqrt((7*Total Surface Area of Deltoidal Icositetrahedron)/(12*sqrt(61+(38*sqrt(2)))))
  • Long Edge of Deltoidal Icositetrahedron = ((7*Volume of Deltoidal Icositetrahedron)/(2*sqrt(292+(206*sqrt(2)))))^(1/3)
  • Long Edge of Deltoidal Icositetrahedron = (2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2))
  • Long Edge of Deltoidal Icositetrahedron = Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34))
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