Total Surface Area of Pentagonal Icositetrahedron given Short Edge Calculator

✖Short Edge of Pentagonal Icositetrahedron is the length of shortest edge which is the base and middle edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron.ⓘ Short Edge of Pentagonal Icositetrahedron [l_e(Short)]

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✖Total Surface Area of Pentagonal Icositetrahedron is the amount or quantity of two dimensional space covered on the surface of Pentagonal Icositetrahedron.ⓘ Total Surface Area of Pentagonal Icositetrahedron given Short Edge [TSA]

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Total Surface Area of Pentagonal Icositetrahedron given Short Edge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Pentagonal Icositetrahedron = 3*(sqrt([Tribonacci_C]+1)*Short Edge of Pentagonal Icositetrahedron)^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3))
TSA = 3*(sqrt([Tribonacci_C]+1)*l_e(Short))^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3))
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

[Tribonacci_C] - Tribonacci constant Value Taken As 1.839286755214161

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 Pentagonal Icositetrahedron - (Measured in Square Meter) - Total Surface Area of Pentagonal Icositetrahedron is the amount or quantity of two dimensional space covered on the surface of Pentagonal Icositetrahedron.
Short Edge of Pentagonal Icositetrahedron - (Measured in Meter) - Short Edge of Pentagonal Icositetrahedron is the length of shortest edge which is the base and middle edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron.

STEP 1: Convert Input(s) to Base Unit

Short Edge of Pentagonal Icositetrahedron: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 3*(sqrt([Tribonacci_C]+1)*l_e(Short))^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)) --> 3*(sqrt([Tribonacci_C]+1)*6)^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3))

Evaluating ... ...

TSA = 1972.67577979175

STEP 3: Convert Result to Output's Unit

1972.67577979175 Square Meter --> No Conversion Required

FINAL ANSWER

1972.67577979175 ≈ 1972.676 Square Meter <-- Total Surface Area of Pentagonal Icositetrahedron

(Calculation completed in 00.020 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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< Surface Area of Pentagonal Icositetrahedron Calculators

Total Surface Area of Pentagonal Icositetrahedron given Volume

LaTeX Go Total Surface Area of Pentagonal Icositetrahedron = 3*(Volume of Pentagonal Icositetrahedron^(1/3)*((2*((20*[Tribonacci_C])-37))/(11*([Tribonacci_C]-4)))^(1/6))^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3))

Total Surface Area of Pentagonal Icositetrahedron given Long Edge

LaTeX Go Total Surface Area of Pentagonal Icositetrahedron = 3*((2*Long Edge of Pentagonal Icositetrahedron)/sqrt([Tribonacci_C]+1))^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3))

Total Surface Area of Pentagonal Icositetrahedron given Short Edge

LaTeX Go Total Surface Area of Pentagonal Icositetrahedron = 3*(sqrt([Tribonacci_C]+1)*Short Edge of Pentagonal Icositetrahedron)^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3))

Total Surface Area of Pentagonal Icositetrahedron

LaTeX Go Total Surface Area of Pentagonal Icositetrahedron = 3*Snub Cube Edge of Pentagonal Icositetrahedron^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3))

Total Surface Area of Pentagonal Icositetrahedron given Short Edge Formula

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What is Pentagonal Icositetrahedron?

The Pentagonal Icositetrahedron can be constructed from a snub cube. Its faces are axial-symmetric pentagons with the top angle acos(2-t)=80.7517°. Of this polyhedron, there are two forms that are mirror images of each other, but otherwise identical. It has 24 faces, 60 edges, and 38 vertices.

How to Calculate Total Surface Area of Pentagonal Icositetrahedron given Short Edge?

Total Surface Area of Pentagonal Icositetrahedron given Short Edge calculator uses Total Surface Area of Pentagonal Icositetrahedron = 3*(sqrt([Tribonacci_C]+1)*Short Edge of Pentagonal Icositetrahedron)^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)) to calculate the Total Surface Area of Pentagonal Icositetrahedron, Total Surface Area of Pentagonal Icositetrahedron given Short Edge formula is defined as the amount or quantity of two dimensional space covered on the surface of Pentagonal Icositetrahedron, calculated using short edge of Pentagonal Icositetrahedron. Total Surface Area of Pentagonal Icositetrahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Pentagonal Icositetrahedron given Short Edge using this online calculator? To use this online calculator for Total Surface Area of Pentagonal Icositetrahedron given Short Edge, enter Short Edge of Pentagonal Icositetrahedron (l_e(Short)) and hit the calculate button. Here is how the Total Surface Area of Pentagonal Icositetrahedron given Short Edge calculation can be explained with given input values -> 1972.676 = 3*(sqrt([Tribonacci_C]+1)*6)^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)).

FAQ

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

Total Surface Area of Pentagonal Icositetrahedron given Short Edge formula is defined as the amount or quantity of two dimensional space covered on the surface of Pentagonal Icositetrahedron, calculated using short edge of Pentagonal Icositetrahedron and is represented as TSA = 3*(sqrt([Tribonacci_C]+1)*l_e(Short))^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)) or Total Surface Area of Pentagonal Icositetrahedron = 3*(sqrt([Tribonacci_C]+1)*Short Edge of Pentagonal Icositetrahedron)^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)). Short Edge of Pentagonal Icositetrahedron is the length of shortest edge which is the base and middle edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron.

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

Total Surface Area of Pentagonal Icositetrahedron given Short Edge formula is defined as the amount or quantity of two dimensional space covered on the surface of Pentagonal Icositetrahedron, calculated using short edge of Pentagonal Icositetrahedron is calculated using Total Surface Area of Pentagonal Icositetrahedron = 3*(sqrt([Tribonacci_C]+1)*Short Edge of Pentagonal Icositetrahedron)^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)). To calculate Total Surface Area of Pentagonal Icositetrahedron given Short Edge, you need Short Edge of Pentagonal Icositetrahedron (l_e(Short)). With our tool, you need to enter the respective value for Short Edge of Pentagonal 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 Pentagonal Icositetrahedron?

In this formula, Total Surface Area of Pentagonal Icositetrahedron uses Short Edge of Pentagonal Icositetrahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Total Surface Area of Pentagonal Icositetrahedron = 3*Snub Cube Edge of Pentagonal Icositetrahedron^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3))
Total Surface Area of Pentagonal Icositetrahedron = 3*((2*Long Edge of Pentagonal Icositetrahedron)/sqrt([Tribonacci_C]+1))^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3))
Total Surface Area of Pentagonal Icositetrahedron = 3*(Volume of Pentagonal Icositetrahedron^(1/3)*((2*((20*[Tribonacci_C])-37))/(11*([Tribonacci_C]-4)))^(1/6))^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3))

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