Total Surface Area of Deltoidal Icositetrahedron given Short Edge Calculator

✖Short Edge of Deltoidal Icositetrahedron is the length of shortest edge of the identical deltoidal faces of Deltoidal Icositetrahedron.ⓘ Short Edge of Deltoidal Icositetrahedron [l_e(Short)]

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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 Short Edge [TSA]

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Total Surface Area of Deltoidal Icositetrahedron given Short Edge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Deltoidal Icositetrahedron = 12/7*sqrt(61+(38*sqrt(2)))*((7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2)))^2
TSA = 12/7*sqrt(61+(38*sqrt(2)))*((7*l_e(Short))/(4+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.
Short Edge of Deltoidal Icositetrahedron - (Measured in Meter) - Short Edge of Deltoidal Icositetrahedron is the length of shortest edge of the identical deltoidal faces of Deltoidal Icositetrahedron.

STEP 1: Convert Input(s) to Base Unit

Short Edge of Deltoidal Icositetrahedron: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 12/7*sqrt(61+(38*sqrt(2)))*((7*l_e(Short))/(4+sqrt(2)))^2 --> 12/7*sqrt(61+(38*sqrt(2)))*((7*15)/(4+sqrt(2)))^2

Evaluating ... ...

TSA = 6906.35153790698

STEP 3: Convert Result to Output's Unit

6906.35153790698 Square Meter --> No Conversion Required

FINAL ANSWER

6906.35153790698 ≈ 6906.352 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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< 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 Short Edge 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 Short Edge?

Total Surface Area of Deltoidal Icositetrahedron given Short Edge calculator uses Total Surface Area of Deltoidal Icositetrahedron = 12/7*sqrt(61+(38*sqrt(2)))*((7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2)))^2 to calculate the Total Surface Area of Deltoidal Icositetrahedron, Total Surface Area of Deltoidal Icositetrahedron given Short Edge formula is defined as the amount or quantity of two dimensional space covered by the surface of Deltoidal Icositetrahedron, calculated using short edge of Deltoidal Icositetrahedron. Total Surface Area of Deltoidal Icositetrahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Deltoidal Icositetrahedron given Short Edge using this online calculator? To use this online calculator for Total Surface Area of Deltoidal Icositetrahedron given Short Edge, enter Short Edge of Deltoidal Icositetrahedron (l_e(Short)) and hit the calculate button. Here is how the Total Surface Area of Deltoidal Icositetrahedron given Short Edge calculation can be explained with given input values -> 6906.352 = 12/7*sqrt(61+(38*sqrt(2)))*((7*15)/(4+sqrt(2)))^2.

FAQ

What is Total Surface Area of Deltoidal Icositetrahedron given Short Edge?

Total Surface Area of Deltoidal Icositetrahedron given Short Edge formula is defined as the amount or quantity of two dimensional space covered by the surface of Deltoidal Icositetrahedron, calculated using short edge of Deltoidal Icositetrahedron and is represented as TSA = 12/7*sqrt(61+(38*sqrt(2)))*((7*l_e(Short))/(4+sqrt(2)))^2 or Total Surface Area of Deltoidal Icositetrahedron = 12/7*sqrt(61+(38*sqrt(2)))*((7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2)))^2. Short Edge of Deltoidal Icositetrahedron is the length of shortest edge of the identical deltoidal faces of Deltoidal Icositetrahedron.

How to calculate Total Surface Area of Deltoidal Icositetrahedron given Short Edge?

Total Surface Area of Deltoidal Icositetrahedron given Short Edge formula is defined as the amount or quantity of two dimensional space covered by the surface of Deltoidal Icositetrahedron, calculated using short edge of Deltoidal Icositetrahedron is calculated using Total Surface Area of Deltoidal Icositetrahedron = 12/7*sqrt(61+(38*sqrt(2)))*((7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2)))^2. To calculate Total Surface Area of Deltoidal Icositetrahedron given Short Edge, you need Short Edge of Deltoidal Icositetrahedron (l_e(Short)). With our tool, you need to enter the respective value for Short 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 Short 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)))*Long Edge of Deltoidal Icositetrahedron^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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