Total Surface Area of Deltoidal Icositetrahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Surface Area of Deltoidal Icositetrahedron = 12/7*sqrt(61+(38*sqrt(2)))*(6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))))^2
TSA = 12/7*sqrt(61+(38*sqrt(2)))*(6/AV*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))))^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
Total Surface Area of Deltoidal Icositetrahedron - (Measured in Square Meter) - Total Surface Area of Deltoidal Icositetrahedron is the amount or quantity of two dimensional space covered on the surface 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
TSA = 12/7*sqrt(61+(38*sqrt(2)))*(6/AV*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))))^2 --> 12/7*sqrt(61+(38*sqrt(2)))*(6/0.1*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))))^2
Evaluating ... ...
TSA = 13003.067333845
STEP 3: Convert Result to Output's Unit
13003.067333845 Square Meter --> No Conversion Required
FINAL ANSWER
13003.067333845 13003.07 Square Meter <-- Total Surface Area of Deltoidal Icositetrahedron
(Calculation completed in 00.019 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 Surface Area of Deltoidal Icositetrahedron Calculators

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

Total Surface Area of Deltoidal Icositetrahedron given Surface to Volume Ratio Formula

Total Surface Area of Deltoidal Icositetrahedron = 12/7*sqrt(61+(38*sqrt(2)))*(6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))))^2
TSA = 12/7*sqrt(61+(38*sqrt(2)))*(6/AV*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))))^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 Total Surface Area of Deltoidal Icositetrahedron given Surface to Volume Ratio?

Total Surface Area of Deltoidal Icositetrahedron given Surface to Volume Ratio calculator uses Total Surface Area of Deltoidal Icositetrahedron = 12/7*sqrt(61+(38*sqrt(2)))*(6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))))^2 to calculate the Total Surface Area of Deltoidal Icositetrahedron, Total Surface Area of Deltoidal Icositetrahedron given Surface to Volume Ratio formula is defined as the amount or quantity of two dimensional space covered by the surface of Deltoidal Icositetrahedron, calculated using surface to volume ratio of Deltoidal Icositetrahedron. Total Surface Area of Deltoidal Icositetrahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Deltoidal Icositetrahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Total Surface Area of Deltoidal Icositetrahedron given Surface to Volume Ratio, enter SA:V of Deltoidal Icositetrahedron (AV) and hit the calculate button. Here is how the Total Surface Area of Deltoidal Icositetrahedron given Surface to Volume Ratio calculation can be explained with given input values -> 13003.07 = 12/7*sqrt(61+(38*sqrt(2)))*(6/0.1*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))))^2.

FAQ

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