Total Surface Area of Hexakis Icosahedron given Insphere Radius Calculator

✖Insphere Radius of Hexakis Icosahedron is defined as the radius of the sphere that is contained by the Hexakis Icosahedron in such a way that all the faces just touching the sphere.ⓘ Insphere Radius of Hexakis Icosahedron [r_i]

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✖Total Surface Area of Hexakis Icosahedron is the amount or quantity of two dimensional space covered by the surface of Hexakis Isocahedron.ⓘ Total Surface Area of Hexakis Icosahedron given Insphere Radius [TSA]

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Total Surface Area of Hexakis Icosahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Hexakis Icosahedron = (15/44)*(sqrt(10*(417+(107*sqrt(5)))))*(((4*Insphere Radius of Hexakis Icosahedron)^2)/((15/241)*(275+(119*sqrt(5)))))
TSA = (15/44)*(sqrt(10*(417+(107*sqrt(5)))))*(((4*r_i)^2)/((15/241)*(275+(119*sqrt(5)))))
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 Hexakis Icosahedron - (Measured in Square Meter) - Total Surface Area of Hexakis Icosahedron is the amount or quantity of two dimensional space covered by the surface of Hexakis Isocahedron.
Insphere Radius of Hexakis Icosahedron - (Measured in Meter) - Insphere Radius of Hexakis Icosahedron is defined as the radius of the sphere that is contained by the Hexakis Icosahedron in such a way that all the faces just touching the sphere.

STEP 1: Convert Input(s) to Base Unit

Insphere Radius of Hexakis Icosahedron: 14 Meter --> 14 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (15/44)*(sqrt(10*(417+(107*sqrt(5)))))*(((4*r_i)^2)/((15/241)*(275+(119*sqrt(5))))) --> (15/44)*(sqrt(10*(417+(107*sqrt(5)))))*(((4*14)^2)/((15/241)*(275+(119*sqrt(5)))))

Evaluating ... ...

TSA = 2571.62099167006

STEP 3: Convert Result to Output's Unit

2571.62099167006 Square Meter --> No Conversion Required

FINAL ANSWER

2571.62099167006 ≈ 2571.621 Square Meter <-- Total Surface Area of Hexakis Icosahedron

(Calculation completed in 00.009 seconds)

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< Surface Area of Hexakis Icosahedron Calculators

Total Surface Area of Hexakis Icosahedron given Truncated Icosidodecahedron Edge

LaTeX Go Total Surface Area of Hexakis Icosahedron = (15/44)*(sqrt(10*(417+(107*sqrt(5)))))*(4/25)*(Truncated Edge of Hexakis Icosahedron^2)*(15*(5-sqrt(5)))

Total Surface Area of Hexakis Icosahedron given Medium Edge

LaTeX Go Total Surface Area of Hexakis Icosahedron = (15/44)*(sqrt(10*(417+(107*sqrt(5)))))*(((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5))))^2)

Total Surface Area of Hexakis Icosahedron given Short Edge

LaTeX Go Total Surface Area of Hexakis Icosahedron = (15/44)*(sqrt(10*(417+(107*sqrt(5)))))*(((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))^2)

Total Surface Area of Hexakis Icosahedron

LaTeX Go Total Surface Area of Hexakis Icosahedron = (15/44)*(sqrt(10*(417+(107*sqrt(5)))))*(Long Edge of Hexakis Icosahedron^2)

Total Surface Area of Hexakis Icosahedron given Insphere Radius Formula

LaTeX Go

What is Hexakis Icosahedron?

A Hexakis Icosahedron is a polyhedron with identical, but irregular triangle faces. It has thirty vertices with four edges, twenty vertices with six edges and twelve vertices with ten edges.
It has 120 faces, 180 edges, 62 vertices.

How to Calculate Total Surface Area of Hexakis Icosahedron given Insphere Radius?

Total Surface Area of Hexakis Icosahedron given Insphere Radius calculator uses Total Surface Area of Hexakis Icosahedron = (15/44)*(sqrt(10*(417+(107*sqrt(5)))))*(((4*Insphere Radius of Hexakis Icosahedron)^2)/((15/241)*(275+(119*sqrt(5))))) to calculate the Total Surface Area of Hexakis Icosahedron, Total Surface Area of Hexakis Icosahedron given Insphere radius formula is defined as the amount or quantity of two dimensional space covered by the surface of Hexakis Isocahedron, calculated using insphere radius of Hexakis Icosahedron. Total Surface Area of Hexakis Icosahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Hexakis Icosahedron given Insphere Radius using this online calculator? To use this online calculator for Total Surface Area of Hexakis Icosahedron given Insphere Radius, enter Insphere Radius of Hexakis Icosahedron (r_i) and hit the calculate button. Here is how the Total Surface Area of Hexakis Icosahedron given Insphere Radius calculation can be explained with given input values -> 2571.621 = (15/44)*(sqrt(10*(417+(107*sqrt(5)))))*(((4*14)^2)/((15/241)*(275+(119*sqrt(5))))).

FAQ

What is Total Surface Area of Hexakis Icosahedron given Insphere Radius?

Total Surface Area of Hexakis Icosahedron given Insphere radius formula is defined as the amount or quantity of two dimensional space covered by the surface of Hexakis Isocahedron, calculated using insphere radius of Hexakis Icosahedron and is represented as TSA = (15/44)*(sqrt(10*(417+(107*sqrt(5)))))*(((4*r_i)^2)/((15/241)*(275+(119*sqrt(5))))) or Total Surface Area of Hexakis Icosahedron = (15/44)*(sqrt(10*(417+(107*sqrt(5)))))*(((4*Insphere Radius of Hexakis Icosahedron)^2)/((15/241)*(275+(119*sqrt(5))))). Insphere Radius of Hexakis Icosahedron is defined as the radius of the sphere that is contained by the Hexakis Icosahedron in such a way that all the faces just touching the sphere.

How to calculate Total Surface Area of Hexakis Icosahedron given Insphere Radius?

Total Surface Area of Hexakis Icosahedron given Insphere radius formula is defined as the amount or quantity of two dimensional space covered by the surface of Hexakis Isocahedron, calculated using insphere radius of Hexakis Icosahedron is calculated using Total Surface Area of Hexakis Icosahedron = (15/44)*(sqrt(10*(417+(107*sqrt(5)))))*(((4*Insphere Radius of Hexakis Icosahedron)^2)/((15/241)*(275+(119*sqrt(5))))). To calculate Total Surface Area of Hexakis Icosahedron given Insphere Radius, you need Insphere Radius of Hexakis Icosahedron (r_i). With our tool, you need to enter the respective value for Insphere Radius of Hexakis Icosahedron 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 Hexakis Icosahedron?

In this formula, Total Surface Area of Hexakis Icosahedron uses Insphere Radius of Hexakis Icosahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Total Surface Area of Hexakis Icosahedron = (15/44)*(sqrt(10*(417+(107*sqrt(5)))))*(Long Edge of Hexakis Icosahedron^2)
Total Surface Area of Hexakis Icosahedron = (15/44)*(sqrt(10*(417+(107*sqrt(5)))))*(((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5))))^2)
Total Surface Area of Hexakis Icosahedron = (15/44)*(sqrt(10*(417+(107*sqrt(5)))))*(((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))^2)

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