Symmetry Diagonal of Deltoidal Icositetrahedron given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Symmetry Diagonal of Deltoidal Icositetrahedron = sqrt(46+(15*sqrt(2)))/7*((7*Volume of Deltoidal Icositetrahedron)/(2*sqrt(292+(206*sqrt(2)))))^(1/3)
dSymmetry = sqrt(46+(15*sqrt(2)))/7*((7*V)/(2*sqrt(292+(206*sqrt(2)))))^(1/3)
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
Symmetry Diagonal of Deltoidal Icositetrahedron - (Measured in Meter) - Symmetry Diagonal of Deltoidal Icositetrahedron is the diagonal which cuts the deltoid faces of Deltoidal Icositetrahedron into two equal halves.
Volume of Deltoidal Icositetrahedron - (Measured in Cubic Meter) - Volume of Deltoidal Icositetrahedron is the quantity of three dimensional space enclosed by the entire surface of Deltoidal Icositetrahedron.
STEP 1: Convert Input(s) to Base Unit
Volume of Deltoidal Icositetrahedron: 55200 Cubic Meter --> 55200 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dSymmetry = sqrt(46+(15*sqrt(2)))/7*((7*V)/(2*sqrt(292+(206*sqrt(2)))))^(1/3) --> sqrt(46+(15*sqrt(2)))/7*((7*55200)/(2*sqrt(292+(206*sqrt(2)))))^(1/3)
Evaluating ... ...
dSymmetry = 23.4231964905022
STEP 3: Convert Result to Output's Unit
23.4231964905022 Meter --> No Conversion Required
FINAL ANSWER
23.4231964905022 23.4232 Meter <-- Symmetry Diagonal of Deltoidal Icositetrahedron
(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli
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8 Symmetry Diagonal of Deltoidal Icositetrahedron Calculators

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

Symmetry Diagonal of Deltoidal Icositetrahedron given Volume Formula

Symmetry Diagonal of Deltoidal Icositetrahedron = sqrt(46+(15*sqrt(2)))/7*((7*Volume of Deltoidal Icositetrahedron)/(2*sqrt(292+(206*sqrt(2)))))^(1/3)
dSymmetry = sqrt(46+(15*sqrt(2)))/7*((7*V)/(2*sqrt(292+(206*sqrt(2)))))^(1/3)

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 Symmetry Diagonal of Deltoidal Icositetrahedron given Volume?

Symmetry Diagonal of Deltoidal Icositetrahedron given Volume calculator uses Symmetry Diagonal of Deltoidal Icositetrahedron = sqrt(46+(15*sqrt(2)))/7*((7*Volume of Deltoidal Icositetrahedron)/(2*sqrt(292+(206*sqrt(2)))))^(1/3) to calculate the Symmetry Diagonal of Deltoidal Icositetrahedron, The Symmetry Diagonal of Deltoidal Icositetrahedron given Volume formula is defined as the diagonal which cuts the deltoid faces of Deltoidal Icositetrahedron into two equal halves, calculated using volume of the Deltoidal Icositetrahedron. Symmetry Diagonal of Deltoidal Icositetrahedron is denoted by dSymmetry symbol.

How to calculate Symmetry Diagonal of Deltoidal Icositetrahedron given Volume using this online calculator? To use this online calculator for Symmetry Diagonal of Deltoidal Icositetrahedron given Volume, enter Volume of Deltoidal Icositetrahedron (V) and hit the calculate button. Here is how the Symmetry Diagonal of Deltoidal Icositetrahedron given Volume calculation can be explained with given input values -> 23.4232 = sqrt(46+(15*sqrt(2)))/7*((7*55200)/(2*sqrt(292+(206*sqrt(2)))))^(1/3) .

FAQ

What is Symmetry Diagonal of Deltoidal Icositetrahedron given Volume?
The Symmetry Diagonal of Deltoidal Icositetrahedron given Volume formula is defined as the diagonal which cuts the deltoid faces of Deltoidal Icositetrahedron into two equal halves, calculated using volume of the Deltoidal Icositetrahedron and is represented as dSymmetry = sqrt(46+(15*sqrt(2)))/7*((7*V)/(2*sqrt(292+(206*sqrt(2)))))^(1/3) or Symmetry Diagonal of Deltoidal Icositetrahedron = sqrt(46+(15*sqrt(2)))/7*((7*Volume of Deltoidal Icositetrahedron)/(2*sqrt(292+(206*sqrt(2)))))^(1/3). Volume of Deltoidal Icositetrahedron is the quantity of three dimensional space enclosed by the entire surface of Deltoidal Icositetrahedron.
How to calculate Symmetry Diagonal of Deltoidal Icositetrahedron given Volume?
The Symmetry Diagonal of Deltoidal Icositetrahedron given Volume formula is defined as the diagonal which cuts the deltoid faces of Deltoidal Icositetrahedron into two equal halves, calculated using volume of the Deltoidal Icositetrahedron is calculated using Symmetry Diagonal of Deltoidal Icositetrahedron = sqrt(46+(15*sqrt(2)))/7*((7*Volume of Deltoidal Icositetrahedron)/(2*sqrt(292+(206*sqrt(2)))))^(1/3). To calculate Symmetry Diagonal of Deltoidal Icositetrahedron given Volume, you need Volume of Deltoidal Icositetrahedron (V). With our tool, you need to enter the respective value for Volume 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 Symmetry Diagonal of Deltoidal Icositetrahedron?
In this formula, Symmetry Diagonal of Deltoidal Icositetrahedron uses Volume of Deltoidal Icositetrahedron. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • Symmetry Diagonal of Deltoidal Icositetrahedron = sqrt(46+(15*sqrt(2)))/7*Long Edge of Deltoidal Icositetrahedron
  • Symmetry Diagonal of Deltoidal Icositetrahedron = sqrt(46+(15*sqrt(2)))/7*(7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2))
  • Symmetry Diagonal of Deltoidal Icositetrahedron = sqrt(46+(15*sqrt(2)))/7*(2*NonSymmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(4+(2*sqrt(2))))
  • Symmetry Diagonal of Deltoidal Icositetrahedron = sqrt(46+(15*sqrt(2)))/7* sqrt((7*Total Surface Area of Deltoidal Icositetrahedron)/(12*sqrt(61+(38*sqrt(2)))))
  • Symmetry Diagonal of Deltoidal Icositetrahedron = sqrt(46+(15*sqrt(2)))/7*(2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2))
  • Symmetry Diagonal of Deltoidal Icositetrahedron = sqrt(46+(15*sqrt(2)))/7*Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34))
  • Symmetry Diagonal of Deltoidal Icositetrahedron = sqrt(46+(15*sqrt(2)))/7*6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2))))
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