Total Surface Area of Pentagonal Icositetrahedron Calculator

✖Snub Cube Edge of Pentagonal Icositetrahedron is the length of any edge of the Snub Cube of which dual body is the Pentagonal Icositetrahedron.ⓘ Snub Cube Edge of Pentagonal Icositetrahedron [l_{e(Snub Cube)}]

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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 [TSA]

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Formula

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Total Surface Area of Pentagonal Icositetrahedron

Formula

`"TSA" = 3*"l"_{"e(Snub Cube)"}^2*sqrt((22*(5*"[Tribonacci_C]"-1))/((4*"[Tribonacci_C]")-3))`

Example

`"1929.941m²"=3*("10m")^2*sqrt((22*(5*"[Tribonacci_C]"-1))/((4*"[Tribonacci_C]")-3))`

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Total Surface Area of Pentagonal Icositetrahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Pentagonal Icositetrahedron = 3*Snub Cube Edge of Pentagonal Icositetrahedron^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3))
TSA = 3*l_{e(Snub Cube)}^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.
Snub Cube Edge of Pentagonal Icositetrahedron - (Measured in Meter) - Snub Cube Edge of Pentagonal Icositetrahedron is the length of any edge of the Snub Cube of which dual body is the Pentagonal Icositetrahedron.

STEP 1: Convert Input(s) to Base Unit

Snub Cube Edge of Pentagonal Icositetrahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 3*l_{e(Snub Cube)}^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)) --> 3*10^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3))

Evaluating ... ...

TSA = 1929.9406563296

STEP 3: Convert Result to Output's Unit

1929.9406563296 Square Meter --> No Conversion Required

FINAL ANSWER

1929.9406563296 ≈ 1929.941 Square Meter <-- Total Surface Area of Pentagonal Icositetrahedron

(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli

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< 7 Surface Area of Pentagonal Icositetrahedron Calculators

Total Surface Area of Pentagonal Icositetrahedron given Surface to Volume Ratio

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

Total Surface Area of Pentagonal Icositetrahedron given Insphere Radius

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

Total Surface Area of Pentagonal Icositetrahedron given Volume

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 Midsphere Radius

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

Total Surface Area of Pentagonal Icositetrahedron given Long Edge

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

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

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 Formula

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?

Total Surface Area of Pentagonal Icositetrahedron calculator uses Total Surface Area of Pentagonal Icositetrahedron = 3*Snub Cube 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 formula is defined as the amount or quantity of two-dimensional space covered on the surface of the Pentagonal Icositetrahedron. Total Surface Area of Pentagonal Icositetrahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Pentagonal Icositetrahedron using this online calculator? To use this online calculator for Total Surface Area of Pentagonal Icositetrahedron, enter Snub Cube Edge of Pentagonal Icositetrahedron (l_{e(Snub Cube)}) and hit the calculate button. Here is how the Total Surface Area of Pentagonal Icositetrahedron calculation can be explained with given input values -> 1929.941 = 3*10^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)).

FAQ

What is Total Surface Area of Pentagonal Icositetrahedron?

Total Surface Area of Pentagonal Icositetrahedron formula is defined as the amount or quantity of two-dimensional space covered on the surface of the Pentagonal Icositetrahedron and is represented as TSA = 3*l_{e(Snub Cube)}^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)) or Total Surface Area of Pentagonal Icositetrahedron = 3*Snub Cube Edge of Pentagonal Icositetrahedron^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)). Snub Cube Edge of Pentagonal Icositetrahedron is the length of any edge of the Snub Cube of which dual body is the Pentagonal Icositetrahedron.

How to calculate Total Surface Area of Pentagonal Icositetrahedron?

Total Surface Area of Pentagonal Icositetrahedron formula is defined as the amount or quantity of two-dimensional space covered on the surface of the Pentagonal Icositetrahedron is calculated using Total Surface Area of Pentagonal Icositetrahedron = 3*Snub Cube Edge of Pentagonal Icositetrahedron^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)). To calculate Total Surface Area of Pentagonal Icositetrahedron, you need Snub Cube Edge of Pentagonal Icositetrahedron (l_{e(Snub Cube)}). With our tool, you need to enter the respective value for Snub Cube 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 Snub Cube Edge of Pentagonal Icositetrahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -

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 = 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))
Total Surface Area of Pentagonal Icositetrahedron = 3*(2*sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C]))*Insphere Radius of Pentagonal Icositetrahedron)^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3))
Total Surface Area of Pentagonal Icositetrahedron = 3*((3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/(SA:V of Pentagonal Icositetrahedron*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))))^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3))
Total Surface Area of Pentagonal Icositetrahedron = 3*(2*sqrt(2-[Tribonacci_C])*Midsphere Radius of Pentagonal Icositetrahedron)^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3))

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