Total Surface Area of Deltoidal Icositetrahedron Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Surface Area of Deltoidal Icositetrahedron = 12/7*sqrt(61+(38*sqrt(2)))*Long Edge of Deltoidal Icositetrahedron^2
TSA = 12/7*sqrt(61+(38*sqrt(2)))*le(Long)^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.
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.
STEP 1: Convert Input(s) to Base Unit
Long Edge of Deltoidal Icositetrahedron: 20 Meter --> 20 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
TSA = 12/7*sqrt(61+(38*sqrt(2)))*le(Long)^2 --> 12/7*sqrt(61+(38*sqrt(2)))*20^2
Evaluating ... ...
TSA = 7345.1528625386
STEP 3: Convert Result to Output's Unit
7345.1528625386 Square Meter --> No Conversion Required
FINAL ANSWER
7345.1528625386 7345.153 Square Meter <-- Total Surface Area of Deltoidal Icositetrahedron
(Calculation completed in 00.008 seconds)

Credits

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Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
Shweta Patil has created this Calculator and 2500+ more calculators!
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Verified by Anamika Mittal
Vellore Institute of Technology (VIT), Bhopal
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Surface Area of Deltoidal Icositetrahedron Calculators

Total Surface Area of Deltoidal Icositetrahedron given NonSymmetry Diagonal
​ LaTeX ​ 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
​ LaTeX ​ 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 Short Edge
​ LaTeX ​ 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
​ LaTeX ​ 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 Formula

​LaTeX ​Go
Total Surface Area of Deltoidal Icositetrahedron = 12/7*sqrt(61+(38*sqrt(2)))*Long Edge of Deltoidal Icositetrahedron^2
TSA = 12/7*sqrt(61+(38*sqrt(2)))*le(Long)^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?

Total Surface Area of Deltoidal Icositetrahedron calculator uses Total Surface Area of Deltoidal Icositetrahedron = 12/7*sqrt(61+(38*sqrt(2)))*Long Edge of Deltoidal Icositetrahedron^2 to calculate the Total Surface Area of Deltoidal Icositetrahedron, Total Surface Area of Deltoidal Icositetrahedron formula is defined as the amount or quantity of two dimensional space covered by the surface of Deltoidal Icositetrahedron. Total Surface Area of Deltoidal Icositetrahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Deltoidal Icositetrahedron using this online calculator? To use this online calculator for Total Surface Area of Deltoidal Icositetrahedron, enter Long Edge of Deltoidal Icositetrahedron (le(Long)) and hit the calculate button. Here is how the Total Surface Area of Deltoidal Icositetrahedron calculation can be explained with given input values -> 7345.153 = 12/7*sqrt(61+(38*sqrt(2)))*20^2.

FAQ

What is Total Surface Area of Deltoidal Icositetrahedron?
Total Surface Area of Deltoidal Icositetrahedron formula is defined as the amount or quantity of two dimensional space covered by the surface of Deltoidal Icositetrahedron and is represented as TSA = 12/7*sqrt(61+(38*sqrt(2)))*le(Long)^2 or Total Surface Area of Deltoidal Icositetrahedron = 12/7*sqrt(61+(38*sqrt(2)))*Long Edge of Deltoidal Icositetrahedron^2. Long Edge of Deltoidal Icositetrahedron is the length of longest edge of the identical deltoidal faces of Deltoidal Icositetrahedron.
How to calculate Total Surface Area of Deltoidal Icositetrahedron?
Total Surface Area of Deltoidal Icositetrahedron formula is defined as the amount or quantity of two dimensional space covered by the surface of Deltoidal Icositetrahedron is calculated using Total Surface Area of Deltoidal Icositetrahedron = 12/7*sqrt(61+(38*sqrt(2)))*Long Edge of Deltoidal Icositetrahedron^2. To calculate Total Surface Area of Deltoidal Icositetrahedron, you need Long Edge of Deltoidal Icositetrahedron (le(Long)). With our tool, you need to enter the respective value for Long Edge 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 Long Edge of Deltoidal Icositetrahedron. We can use 3 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)))*((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
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