Snub Cube Edge of Pentagonal Icositetrahedron given Insphere Radius Calculator

✖Insphere Radius of Pentagonal Icositetrahedron is the radius of the sphere that the Pentagonal Icositetrahedron contains in such a way that all the faces touch the sphere.ⓘ Insphere Radius of Pentagonal Icositetrahedron [r_i]

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✖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 given Insphere Radius [l_{e(Snub Cube)}]

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Formula

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Snub Cube Edge of Pentagonal Icositetrahedron given Insphere Radius

Formula

`"l"_{"e(Snub Cube)"} = 2*sqrt((2-"[Tribonacci_C]")*(3-"[Tribonacci_C]"))*"r"_{"i"}`

Example

`"10.36572m"=2*sqrt((2-"[Tribonacci_C]")*(3-"[Tribonacci_C]"))*"12m"`

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Snub Cube Edge of Pentagonal Icositetrahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Snub Cube Edge of Pentagonal Icositetrahedron = 2*sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C]))*Insphere Radius of Pentagonal Icositetrahedron
l_{e(Snub Cube)} = 2*sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C]))*r_i
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

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.
Insphere Radius of Pentagonal Icositetrahedron - (Measured in Meter) - Insphere Radius of Pentagonal Icositetrahedron is the radius of the sphere that the Pentagonal Icositetrahedron contains in such a way that all the faces touch the sphere.

STEP 1: Convert Input(s) to Base Unit

Insphere Radius of Pentagonal Icositetrahedron: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_{e(Snub Cube)} = 2*sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C]))*r_i --> 2*sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C]))*12

Evaluating ... ...

l_{e(Snub Cube)} = 10.3657217451178

STEP 3: Convert Result to Output's Unit

10.3657217451178 Meter --> No Conversion Required

FINAL ANSWER

10.3657217451178 ≈ 10.36572 Meter <-- Snub Cube Edge of Pentagonal Icositetrahedron

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Indian Institute of Information Technology (IIIT), Bhopal

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< 7 Snub Cube Edge of Pentagonal Icositetrahedron Calculators

Snub Cube Edge of Pentagonal Icositetrahedron given Surface to Volume Ratio

Go Snub Cube Edge of Pentagonal Icositetrahedron = (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))))

Snub Cube Edge of Pentagonal Icositetrahedron given Total Surface Area

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

Snub Cube Edge of Pentagonal Icositetrahedron given Insphere Radius

Go Snub Cube Edge of Pentagonal Icositetrahedron = 2*sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C]))*Insphere Radius of Pentagonal Icositetrahedron

Snub Cube Edge of Pentagonal Icositetrahedron given Volume

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

Snub Cube Edge of Pentagonal Icositetrahedron given Midsphere Radius

Go Snub Cube Edge of Pentagonal Icositetrahedron = 2*sqrt(2-[Tribonacci_C])*Midsphere Radius of Pentagonal Icositetrahedron

Snub Cube Edge of Pentagonal Icositetrahedron given Long Edge

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

Snub Cube Edge of Pentagonal Icositetrahedron given Short Edge

Go Snub Cube Edge of Pentagonal Icositetrahedron = sqrt([Tribonacci_C]+1)*Short Edge of Pentagonal Icositetrahedron

Snub Cube Edge of Pentagonal Icositetrahedron given Insphere Radius 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 Snub Cube Edge of Pentagonal Icositetrahedron given Insphere Radius?

Snub Cube Edge of Pentagonal Icositetrahedron given Insphere Radius calculator uses Snub Cube Edge of Pentagonal Icositetrahedron = 2*sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C]))*Insphere Radius of Pentagonal Icositetrahedron to calculate the Snub Cube Edge of Pentagonal Icositetrahedron, Snub Cube Edge of Pentagonal Icositetrahedron given Insphere Radius formula is defined as the length of any edge of the Snub Cube of which dual body is the Pentagonal Icositetrahedron, calculated using insphere radius of Pentagonal Icositetrahedron. Snub Cube Edge of Pentagonal Icositetrahedron is denoted by l_{e(Snub Cube)} symbol.

How to calculate Snub Cube Edge of Pentagonal Icositetrahedron given Insphere Radius using this online calculator? To use this online calculator for Snub Cube Edge of Pentagonal Icositetrahedron given Insphere Radius, enter Insphere Radius of Pentagonal Icositetrahedron (r_i) and hit the calculate button. Here is how the Snub Cube Edge of Pentagonal Icositetrahedron given Insphere Radius calculation can be explained with given input values -> 10.36572 = 2*sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C]))*12.

FAQ

What is Snub Cube Edge of Pentagonal Icositetrahedron given Insphere Radius?

Snub Cube Edge of Pentagonal Icositetrahedron given Insphere Radius formula is defined as the length of any edge of the Snub Cube of which dual body is the Pentagonal Icositetrahedron, calculated using insphere radius of Pentagonal Icositetrahedron and is represented as l_{e(Snub Cube)} = 2*sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C]))*r_i or Snub Cube Edge of Pentagonal Icositetrahedron = 2*sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C]))*Insphere Radius of Pentagonal Icositetrahedron. Insphere Radius of Pentagonal Icositetrahedron is the radius of the sphere that the Pentagonal Icositetrahedron contains in such a way that all the faces touch the sphere.

How to calculate Snub Cube Edge of Pentagonal Icositetrahedron given Insphere Radius?

Snub Cube Edge of Pentagonal Icositetrahedron given Insphere Radius formula is defined as the length of any edge of the Snub Cube of which dual body is the Pentagonal Icositetrahedron, calculated using insphere radius of Pentagonal Icositetrahedron is calculated using Snub Cube Edge of Pentagonal Icositetrahedron = 2*sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C]))*Insphere Radius of Pentagonal Icositetrahedron. To calculate Snub Cube Edge of Pentagonal Icositetrahedron given Insphere Radius, you need Insphere Radius of Pentagonal Icositetrahedron (r_i). With our tool, you need to enter the respective value for Insphere Radius 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 Snub Cube Edge of Pentagonal Icositetrahedron?

In this formula, Snub Cube Edge of Pentagonal Icositetrahedron uses Insphere Radius of Pentagonal Icositetrahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -

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

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