Total Surface Area of Deltoidal Icositetrahedron given Midsphere Radius Calculator

✖Midsphere Radius of Deltoidal Icositetrahedron is the radius of the sphere for which all the edges of the Deltoidal Icositetrahedron become a tangent line on that sphere.ⓘ Midsphere Radius of Deltoidal Icositetrahedron [r_m]

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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 Midsphere Radius [TSA]

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Total Surface Area of Deltoidal Icositetrahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Deltoidal Icositetrahedron = 12/7*sqrt(61+(38*sqrt(2)))*((2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2)))^2
TSA = 12/7*sqrt(61+(38*sqrt(2)))*((2*r_m)/(1+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.
Midsphere Radius of Deltoidal Icositetrahedron - (Measured in Meter) - Midsphere Radius of Deltoidal Icositetrahedron is the radius of the sphere for which all the edges of the Deltoidal Icositetrahedron become a tangent line on that sphere.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Deltoidal Icositetrahedron: 24 Meter --> 24 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 12/7*sqrt(61+(38*sqrt(2)))*((2*r_m)/(1+sqrt(2)))^2 --> 12/7*sqrt(61+(38*sqrt(2)))*((2*24)/(1+sqrt(2)))^2

Evaluating ... ...

TSA = 7258.91901583392

STEP 3: Convert Result to Output's Unit

7258.91901583392 Square Meter --> No Conversion Required

FINAL ANSWER

7258.91901583392 ≈ 7258.919 Square Meter <-- Total Surface Area of Deltoidal Icositetrahedron

(Calculation completed in 00.007 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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< 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 given Midsphere Radius Formula

LaTeX Go

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 Midsphere Radius?

Total Surface Area of Deltoidal Icositetrahedron given Midsphere Radius calculator uses Total Surface Area of Deltoidal Icositetrahedron = 12/7*sqrt(61+(38*sqrt(2)))*((2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2)))^2 to calculate the Total Surface Area of Deltoidal Icositetrahedron, Total Surface Area of Deltoidal Icositetrahedron given Midsphere Radius formula is defined as the amount or quantity of two dimensional space covered by the surface of Deltoidal Icositetrahedron, calculated using midsphere 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 Midsphere Radius using this online calculator? To use this online calculator for Total Surface Area of Deltoidal Icositetrahedron given Midsphere Radius, enter Midsphere Radius of Deltoidal Icositetrahedron (r_m) and hit the calculate button. Here is how the Total Surface Area of Deltoidal Icositetrahedron given Midsphere Radius calculation can be explained with given input values -> 7258.919 = 12/7*sqrt(61+(38*sqrt(2)))*((2*24)/(1+sqrt(2)))^2.

FAQ

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

Total Surface Area of Deltoidal Icositetrahedron given Midsphere Radius formula is defined as the amount or quantity of two dimensional space covered by the surface of Deltoidal Icositetrahedron, calculated using midsphere radius of Deltoidal Icositetrahedron and is represented as TSA = 12/7*sqrt(61+(38*sqrt(2)))*((2*r_m)/(1+sqrt(2)))^2 or Total Surface Area of Deltoidal Icositetrahedron = 12/7*sqrt(61+(38*sqrt(2)))*((2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2)))^2. Midsphere Radius of Deltoidal Icositetrahedron is the radius of the sphere for which all the edges of the Deltoidal Icositetrahedron become a tangent line on that sphere.

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

Total Surface Area of Deltoidal Icositetrahedron given Midsphere Radius formula is defined as the amount or quantity of two dimensional space covered by the surface of Deltoidal Icositetrahedron, calculated using midsphere radius of Deltoidal Icositetrahedron is calculated using Total Surface Area of Deltoidal Icositetrahedron = 12/7*sqrt(61+(38*sqrt(2)))*((2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2)))^2. To calculate Total Surface Area of Deltoidal Icositetrahedron given Midsphere Radius, you need Midsphere Radius of Deltoidal Icositetrahedron (r_m). With our tool, you need to enter the respective value for Midsphere 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 Midsphere Radius 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)))*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

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