Surface to Volume Ratio of Deltoidal Icositetrahedron given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
SA:V of Deltoidal Icositetrahedron = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*((2*sqrt(292+(206*sqrt(2))))/(7*Volume of Deltoidal Icositetrahedron))^(1/3)
AV = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*((2*sqrt(292+(206*sqrt(2))))/(7*V))^(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
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.
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
AV = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*((2*sqrt(292+(206*sqrt(2))))/(7*V))^(1/3) --> (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*((2*sqrt(292+(206*sqrt(2))))/(7*55200))^(1/3)
Evaluating ... ...
AV = 0.133056341482273
STEP 3: Convert Result to Output's Unit
0.133056341482273 1 per Meter --> No Conversion Required
FINAL ANSWER
0.133056341482273 0.133056 1 per Meter <-- SA:V 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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St Joseph's College (SJC), Bengaluru
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Surface to Volume Ratio of Deltoidal Icositetrahedron Calculators

Surface to Volume Ratio of Deltoidal Icositetrahedron given NonSymmetry Diagonal
​ LaTeX ​ Go SA:V of Deltoidal Icositetrahedron = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*(sqrt(4+(2*sqrt(2))))/(2*NonSymmetry Diagonal of Deltoidal Icositetrahedron)
Surface to Volume Ratio of Deltoidal Icositetrahedron given Symmetry Diagonal
​ LaTeX ​ Go SA:V of Deltoidal Icositetrahedron = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*(sqrt(46+(15*sqrt(2))))/(7*Symmetry Diagonal of Deltoidal Icositetrahedron)
Surface to Volume Ratio of Deltoidal Icositetrahedron given Short Edge
​ LaTeX ​ Go SA:V of Deltoidal Icositetrahedron = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*(4+sqrt(2))/(7*Short Edge of Deltoidal Icositetrahedron)
Surface to Volume Ratio of Deltoidal Icositetrahedron
​ LaTeX ​ Go SA:V of Deltoidal Icositetrahedron = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*1/Long Edge of Deltoidal Icositetrahedron

Surface to Volume Ratio of Deltoidal Icositetrahedron given Volume Formula

​LaTeX ​Go
SA:V of Deltoidal Icositetrahedron = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*((2*sqrt(292+(206*sqrt(2))))/(7*Volume of Deltoidal Icositetrahedron))^(1/3)
AV = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*((2*sqrt(292+(206*sqrt(2))))/(7*V))^(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 Surface to Volume Ratio of Deltoidal Icositetrahedron given Volume?

Surface to Volume Ratio of Deltoidal Icositetrahedron given Volume calculator uses SA:V of Deltoidal Icositetrahedron = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*((2*sqrt(292+(206*sqrt(2))))/(7*Volume of Deltoidal Icositetrahedron))^(1/3) to calculate the SA:V of Deltoidal Icositetrahedron, Surface to Volume Ratio of Deltoidal Icositetrahedron given Volume is defined as what part of or fraction of total volume of Deltoidal Icositetrahedron is the total surface area, calculated using volume of Deltoidal Icositetrahedron. SA:V of Deltoidal Icositetrahedron is denoted by AV symbol.

How to calculate Surface to Volume Ratio of Deltoidal Icositetrahedron given Volume using this online calculator? To use this online calculator for Surface to Volume Ratio of Deltoidal Icositetrahedron given Volume, enter Volume of Deltoidal Icositetrahedron (V) and hit the calculate button. Here is how the Surface to Volume Ratio of Deltoidal Icositetrahedron given Volume calculation can be explained with given input values -> 0.133056 = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*((2*sqrt(292+(206*sqrt(2))))/(7*55200))^(1/3).

FAQ

What is Surface to Volume Ratio of Deltoidal Icositetrahedron given Volume?
Surface to Volume Ratio of Deltoidal Icositetrahedron given Volume is defined as what part of or fraction of total volume of Deltoidal Icositetrahedron is the total surface area, calculated using volume of Deltoidal Icositetrahedron and is represented as AV = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*((2*sqrt(292+(206*sqrt(2))))/(7*V))^(1/3) or SA:V of Deltoidal Icositetrahedron = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*((2*sqrt(292+(206*sqrt(2))))/(7*Volume of Deltoidal Icositetrahedron))^(1/3). Volume of Deltoidal Icositetrahedron is the quantity of three dimensional space enclosed by the entire surface of Deltoidal Icositetrahedron.
How to calculate Surface to Volume Ratio of Deltoidal Icositetrahedron given Volume?
Surface to Volume Ratio of Deltoidal Icositetrahedron given Volume is defined as what part of or fraction of total volume of Deltoidal Icositetrahedron is the total surface area, calculated using volume of Deltoidal Icositetrahedron is calculated using SA:V of Deltoidal Icositetrahedron = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*((2*sqrt(292+(206*sqrt(2))))/(7*Volume of Deltoidal Icositetrahedron))^(1/3). To calculate Surface to Volume Ratio 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 SA:V of Deltoidal Icositetrahedron?
In this formula, SA:V of Deltoidal Icositetrahedron uses Volume of Deltoidal Icositetrahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • SA:V of Deltoidal Icositetrahedron = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*1/Long Edge of Deltoidal Icositetrahedron
  • SA:V of Deltoidal Icositetrahedron = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*(4+sqrt(2))/(7*Short Edge of Deltoidal Icositetrahedron)
  • SA:V of Deltoidal Icositetrahedron = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*(sqrt(46+(15*sqrt(2))))/(7*Symmetry Diagonal of Deltoidal Icositetrahedron)
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