Total Surface Area of Hexakis Octahedron given Insphere Radius Calculator

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

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

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Total Surface Area of Hexakis Octahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Hexakis Octahedron = (12/7)*(sqrt(543+(176*sqrt(2))))*((Insphere Radius of Hexakis Octahedron)^2)*(1/((402+(195*sqrt(2)))/194))
TSA = (12/7)*(sqrt(543+(176*sqrt(2))))*((r_i)^2)*(1/((402+(195*sqrt(2)))/194))
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 Octahedron - (Measured in Square Meter) - Total Surface Area of Hexakis Octahedron is the amount or quantity of two dimensional space covered on the surface of Hexakis Octahedron.
Insphere Radius of Hexakis Octahedron - (Measured in Meter) - Insphere Radius of Hexakis Octahedron is defined as the radius of the sphere that is contained by the Hexakis Octahedron in such a way that all the faces just touching the sphere.

STEP 1: Convert Input(s) to Base Unit

Insphere Radius of Hexakis Octahedron: 18 Meter --> 18 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (12/7)*(sqrt(543+(176*sqrt(2))))*((r_i)^2)*(1/((402+(195*sqrt(2)))/194)) --> (12/7)*(sqrt(543+(176*sqrt(2))))*((18)^2)*(1/((402+(195*sqrt(2)))/194))

Evaluating ... ...

TSA = 4473.85760480428

STEP 3: Convert Result to Output's Unit

4473.85760480428 Square Meter --> No Conversion Required

FINAL ANSWER

4473.85760480428 ≈ 4473.858 Square Meter <-- Total Surface Area of Hexakis Octahedron

(Calculation completed in 00.008 seconds)

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< Total Surface Area of Hexakis Octahedron Calculators

Total Surface Area of Hexakis Octahedron given Volume

LaTeX Go Total Surface Area of Hexakis Octahedron = (3/7)*(sqrt(543+(176*sqrt(2))))*(((28*Volume of Hexakis Octahedron)/(sqrt(6*(986+(607*sqrt(2))))))^(2/3))

Total Surface Area of Hexakis Octahedron given Medium Edge

LaTeX Go Total Surface Area of Hexakis Octahedron = (3/7)*(sqrt(543+(176*sqrt(2))))*(((14*Medium Edge of Hexakis Octahedron)/(3*(1+(2*sqrt(2)))))^2)

Total Surface Area of Hexakis Octahedron given Short Edge

LaTeX Go Total Surface Area of Hexakis Octahedron = (3/7)*(sqrt(543+(176*sqrt(2))))*(((14*Short Edge of Hexakis Octahedron)/(10-sqrt(2)))^2)

Total Surface Area of Hexakis Octahedron

LaTeX Go Total Surface Area of Hexakis Octahedron = ((Long Edge of Hexakis Octahedron)^2)*(sqrt(543+(176*sqrt(2))))*(3/7)

Total Surface Area of Hexakis Octahedron given Insphere Radius Formula

LaTeX Go

What is Hexakis Octahedron?

In geometry, a Hexakis Octahedron (also called hexoctahedron, disdyakis dodecahedron, octakis cube, octakis hexahedron, kisrhombic dodecahedron), is a Catalan solid with 48 congruent triangular faces, 72 edges and 26 vertices. It is the dual of the Archimedean solid ‘truncated cuboctahedron’. As such it is face-transitive but with irregular face polygons.

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

Total Surface Area of Hexakis Octahedron given Insphere Radius calculator uses Total Surface Area of Hexakis Octahedron = (12/7)*(sqrt(543+(176*sqrt(2))))*((Insphere Radius of Hexakis Octahedron)^2)*(1/((402+(195*sqrt(2)))/194)) to calculate the Total Surface Area of Hexakis Octahedron, The Total Surface Area of Hexakis Octahedron given Insphere Radius formula is defined as the amount or quantity of two dimensional space covered on the surface of Hexakis Octahedron, calculated using insphere radius of Hexakis Octahedron. Total Surface Area of Hexakis Octahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Hexakis Octahedron given Insphere Radius using this online calculator? To use this online calculator for Total Surface Area of Hexakis Octahedron given Insphere Radius, enter Insphere Radius of Hexakis Octahedron (r_i) and hit the calculate button. Here is how the Total Surface Area of Hexakis Octahedron given Insphere Radius calculation can be explained with given input values -> 4473.858 = (12/7)*(sqrt(543+(176*sqrt(2))))*((18)^2)*(1/((402+(195*sqrt(2)))/194)).

FAQ

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

The Total Surface Area of Hexakis Octahedron given Insphere Radius formula is defined as the amount or quantity of two dimensional space covered on the surface of Hexakis Octahedron, calculated using insphere radius of Hexakis Octahedron and is represented as TSA = (12/7)*(sqrt(543+(176*sqrt(2))))*((r_i)^2)*(1/((402+(195*sqrt(2)))/194)) or Total Surface Area of Hexakis Octahedron = (12/7)*(sqrt(543+(176*sqrt(2))))*((Insphere Radius of Hexakis Octahedron)^2)*(1/((402+(195*sqrt(2)))/194)). Insphere Radius of Hexakis Octahedron is defined as the radius of the sphere that is contained by the Hexakis Octahedron in such a way that all the faces just touching the sphere.

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

The Total Surface Area of Hexakis Octahedron given Insphere Radius formula is defined as the amount or quantity of two dimensional space covered on the surface of Hexakis Octahedron, calculated using insphere radius of Hexakis Octahedron is calculated using Total Surface Area of Hexakis Octahedron = (12/7)*(sqrt(543+(176*sqrt(2))))*((Insphere Radius of Hexakis Octahedron)^2)*(1/((402+(195*sqrt(2)))/194)). To calculate Total Surface Area of Hexakis Octahedron given Insphere Radius, you need Insphere Radius of Hexakis Octahedron (r_i). With our tool, you need to enter the respective value for Insphere Radius of Hexakis Octahedron 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 Octahedron?

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

Total Surface Area of Hexakis Octahedron = ((Long Edge of Hexakis Octahedron)^2)*(sqrt(543+(176*sqrt(2))))*(3/7)
Total Surface Area of Hexakis Octahedron = (3/7)*(sqrt(543+(176*sqrt(2))))*(((14*Medium Edge of Hexakis Octahedron)/(3*(1+(2*sqrt(2)))))^2)
Total Surface Area of Hexakis Octahedron = (3/7)*(sqrt(543+(176*sqrt(2))))*(((14*Short Edge of Hexakis Octahedron)/(10-sqrt(2)))^2)

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