Total Surface Area of Deltoidal Icositetrahedron given Insphere Radius Calculator

✖Insphere Radius of Deltoidal Icositetrahedron is the radius of the sphere that is contained by the Deltoidal Icositetrahedron in such a way that all the faces just touching the sphere.ⓘ Insphere Radius of Deltoidal Icositetrahedron [r_i]

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✖Total Surface Area of Deltoidal Icositetrahedron is the amount or quantity of two dimensional space covered on the surface of Deltoidal Icositetrahedron.ⓘ Total Surface Area of Deltoidal Icositetrahedron given Insphere Radius [TSA]

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Formula

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Total Surface Area of Deltoidal Icositetrahedron given Insphere Radius

Formula

`"TSA" = 12/7*sqrt(61+(38*sqrt(2)))*("r"_{"i"}/(sqrt((22+(15*sqrt(2)))/34)))^2`

Example

`"6992.761m²"=12/7*sqrt(61+(38*sqrt(2)))*("22m"/(sqrt((22+(15*sqrt(2)))/34)))^2`

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Total Surface Area of Deltoidal Icositetrahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
TSA = 12/7*sqrt(61+(38*sqrt(2)))*(r_i/(sqrt((22+(15*sqrt(2)))/34)))^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.
Insphere Radius of Deltoidal Icositetrahedron - (Measured in Meter) - Insphere Radius of Deltoidal Icositetrahedron is the radius of the sphere that is contained by the Deltoidal Icositetrahedron in such a way that all the faces just touching the sphere.

STEP 1: Convert Input(s) to Base Unit

Insphere Radius of Deltoidal Icositetrahedron: 22 Meter --> 22 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 12/7*sqrt(61+(38*sqrt(2)))*(r_i/(sqrt((22+(15*sqrt(2)))/34)))^2 --> 12/7*sqrt(61+(38*sqrt(2)))*(22/(sqrt((22+(15*sqrt(2)))/34)))^2

Evaluating ... ...

TSA = 6992.76065508998

STEP 3: Convert Result to Output's Unit

6992.76065508998 Square Meter --> No Conversion Required

FINAL ANSWER

6992.76065508998 ≈ 6992.761 Square Meter <-- Total Surface Area of Deltoidal Icositetrahedron

(Calculation completed in 00.020 seconds)

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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 Insphere Radius Formula

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 Insphere Radius?

Total Surface Area of Deltoidal Icositetrahedron given Insphere Radius calculator uses 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 to calculate the Total Surface Area of Deltoidal Icositetrahedron, Total Surface Area of Deltoidal Icositetrahedron given Insphere Radius formula is defined as the amount or quantity of two dimensional space covered by the surface of Deltoidal Icositetrahedron, calculated using insphere radius of Deltoidal Icositetrahedron. Total Surface Area of Deltoidal Icositetrahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Deltoidal Icositetrahedron given Insphere Radius using this online calculator? To use this online calculator for Total Surface Area of Deltoidal Icositetrahedron given Insphere Radius, enter Insphere Radius of Deltoidal Icositetrahedron (r_i) and hit the calculate button. Here is how the Total Surface Area of Deltoidal Icositetrahedron given Insphere Radius calculation can be explained with given input values -> 6992.761 = 12/7*sqrt(61+(38*sqrt(2)))*(22/(sqrt((22+(15*sqrt(2)))/34)))^2.

FAQ

What is Total Surface Area of Deltoidal Icositetrahedron given Insphere Radius?

Total Surface Area of Deltoidal Icositetrahedron given Insphere Radius formula is defined as the amount or quantity of two dimensional space covered by the surface of Deltoidal Icositetrahedron, calculated using insphere radius of Deltoidal Icositetrahedron and is represented as TSA = 12/7*sqrt(61+(38*sqrt(2)))*(r_i/(sqrt((22+(15*sqrt(2)))/34)))^2 or 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. Insphere Radius of Deltoidal Icositetrahedron is the radius of the sphere that is contained by the Deltoidal Icositetrahedron in such a way that all the faces just touching the sphere.

How to calculate Total Surface Area of Deltoidal Icositetrahedron given Insphere Radius?

Total Surface Area of Deltoidal Icositetrahedron given Insphere Radius formula is defined as the amount or quantity of two dimensional space covered by the surface of Deltoidal Icositetrahedron, calculated using insphere radius of Deltoidal Icositetrahedron is calculated using 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. To calculate Total Surface Area of Deltoidal Icositetrahedron given Insphere Radius, you need Insphere Radius of Deltoidal Icositetrahedron (r_i). With our tool, you need to enter the respective value for Insphere Radius 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 Insphere Radius 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)))*(6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))))^2

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