Long Edge of Pentagonal Icositetrahedron given Total Surface Area Calculator

✖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 [TSA]

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✖Long Edge of Pentagonal Icositetrahedron is the length of longest edge which is the top edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron.ⓘ Long Edge of Pentagonal Icositetrahedron given Total Surface Area [l_e(Long)]

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Long Edge of Pentagonal Icositetrahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Long Edge of Pentagonal Icositetrahedron - (Measured in Meter) - Long Edge of Pentagonal Icositetrahedron is the length of longest edge which is the top edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron.
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.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Pentagonal Icositetrahedron: 1900 Square Meter --> 1900 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Long) = sqrt([Tribonacci_C]+1)/2*(sqrt(TSA/3)*(((4*[Tribonacci_C])-3)/(22*((5*[Tribonacci_C])-1)))^(1/4)) --> sqrt([Tribonacci_C]+1)/2*(sqrt(1900/3)*(((4*[Tribonacci_C])-3)/(22*((5*[Tribonacci_C])-1)))^(1/4))

Evaluating ... ...

l_e(Long) = 8.3594837045185

STEP 3: Convert Result to Output's Unit

8.3594837045185 Meter --> No Conversion Required

FINAL ANSWER

8.3594837045185 ≈ 8.359484 Meter <-- Long Edge 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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St Joseph's College (SJC), Bengaluru

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< Long Edge of Pentagonal Icositetrahedron Calculators

Long Edge of Pentagonal Icositetrahedron given Total Surface Area

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

Long Edge of Pentagonal Icositetrahedron given Volume

LaTeX Go Long Edge of Pentagonal Icositetrahedron = sqrt([Tribonacci_C]+1)/2*(Volume of Pentagonal Icositetrahedron^(1/3)*((2*((20*[Tribonacci_C])-37))/(11*([Tribonacci_C]-4)))^(1/6))

Long Edge of Pentagonal Icositetrahedron

LaTeX Go Long Edge of Pentagonal Icositetrahedron = sqrt([Tribonacci_C]+1)/2*Snub Cube Edge of Pentagonal Icositetrahedron

Long Edge of Pentagonal Icositetrahedron given Short Edge

LaTeX Go Long Edge of Pentagonal Icositetrahedron = ([Tribonacci_C]+1)/2*Short Edge of Pentagonal Icositetrahedron

Long Edge of Pentagonal Icositetrahedron given Total Surface Area 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 Long Edge of Pentagonal Icositetrahedron given Total Surface Area?

Long Edge of Pentagonal Icositetrahedron given Total Surface Area calculator uses Long Edge of Pentagonal Icositetrahedron = sqrt([Tribonacci_C]+1)/2*(sqrt(Total Surface Area of Pentagonal Icositetrahedron/3)*(((4*[Tribonacci_C])-3)/(22*((5*[Tribonacci_C])-1)))^(1/4)) to calculate the Long Edge of Pentagonal Icositetrahedron, Long Edge of Pentagonal Icositetrahedron given Total Surface Area formula is defined as the length of longest edge which is the top edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron, calculated using total surface area of Pentagonal Icositetrahedron. Long Edge of Pentagonal Icositetrahedron is denoted by l_e(Long) symbol.

How to calculate Long Edge of Pentagonal Icositetrahedron given Total Surface Area using this online calculator? To use this online calculator for Long Edge of Pentagonal Icositetrahedron given Total Surface Area, enter Total Surface Area of Pentagonal Icositetrahedron (TSA) and hit the calculate button. Here is how the Long Edge of Pentagonal Icositetrahedron given Total Surface Area calculation can be explained with given input values -> 8.359484 = sqrt([Tribonacci_C]+1)/2*(sqrt(1900/3)*(((4*[Tribonacci_C])-3)/(22*((5*[Tribonacci_C])-1)))^(1/4)).

FAQ

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

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

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

Long Edge of Pentagonal Icositetrahedron given Total Surface Area formula is defined as the length of longest edge which is the top edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron, calculated using total surface area of Pentagonal Icositetrahedron is calculated using Long Edge of Pentagonal Icositetrahedron = sqrt([Tribonacci_C]+1)/2*(sqrt(Total Surface Area of Pentagonal Icositetrahedron/3)*(((4*[Tribonacci_C])-3)/(22*((5*[Tribonacci_C])-1)))^(1/4)). To calculate Long Edge of Pentagonal Icositetrahedron given Total Surface Area, you need Total Surface Area of Pentagonal Icositetrahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area 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 Long Edge of Pentagonal Icositetrahedron?

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

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

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