Total Surface Area of Hexakis Octahedron given Surface to Volume Ratio Calculator

✖Surface to Volume Ratio of Hexakis Octahedron is what part of or fraction of total volume of Hexakis Octahedron is the total surface area.ⓘ Surface to Volume Ratio of Hexakis Octahedron [R_A/V]

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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 Surface to Volume Ratio [TSA]

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Formula

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Total Surface Area of Hexakis Octahedron given Surface to Volume Ratio

Formula

`"TSA" = (3/7)*(sqrt(543+(176*sqrt(2))))*(((12*(sqrt(543+(176*sqrt(2)))))/("R"_{"A/V"}*(sqrt(6*(986+(607*sqrt(2)))))))^2)`

Example

`"3106.846m²"=(3/7)*(sqrt(543+(176*sqrt(2))))*(((12*(sqrt(543+(176*sqrt(2)))))/("0.2m⁻¹"*(sqrt(6*(986+(607*sqrt(2)))))))^2)`

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Total Surface Area of Hexakis Octahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Hexakis Octahedron = (3/7)*(sqrt(543+(176*sqrt(2))))*(((12*(sqrt(543+(176*sqrt(2)))))/(Surface to Volume Ratio of Hexakis Octahedron*(sqrt(6*(986+(607*sqrt(2)))))))^2)
TSA = (3/7)*(sqrt(543+(176*sqrt(2))))*(((12*(sqrt(543+(176*sqrt(2)))))/(R_A/V*(sqrt(6*(986+(607*sqrt(2)))))))^2)
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.
Surface to Volume Ratio of Hexakis Octahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Hexakis Octahedron is what part of or fraction of total volume of Hexakis Octahedron is the total surface area.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Hexakis Octahedron: 0.2 1 per Meter --> 0.2 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (3/7)*(sqrt(543+(176*sqrt(2))))*(((12*(sqrt(543+(176*sqrt(2)))))/(R_A/V*(sqrt(6*(986+(607*sqrt(2)))))))^2) --> (3/7)*(sqrt(543+(176*sqrt(2))))*(((12*(sqrt(543+(176*sqrt(2)))))/(0.2*(sqrt(6*(986+(607*sqrt(2)))))))^2)

Evaluating ... ...

TSA = 3106.84555889186

STEP 3: Convert Result to Output's Unit

3106.84555889186 Square Meter --> No Conversion Required

FINAL ANSWER

3106.84555889186 ≈ 3106.846 Square Meter <-- Total Surface Area of Hexakis Octahedron

(Calculation completed in 00.004 seconds)

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< 8 Total Surface Area of Hexakis Octahedron Calculators

Total Surface Area of Hexakis Octahedron given Surface to Volume Ratio

Go Total Surface Area of Hexakis Octahedron = (3/7)*(sqrt(543+(176*sqrt(2))))*(((12*(sqrt(543+(176*sqrt(2)))))/(Surface to Volume Ratio of Hexakis Octahedron*(sqrt(6*(986+(607*sqrt(2)))))))^2)

Total Surface Area of Hexakis Octahedron given Volume

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 Truncated Cuboctahedron Edge

Go Total Surface Area of Hexakis Octahedron = (3/7)*(4/49)*(sqrt(543+(176*sqrt(2))))*(60+(6*sqrt(2)))*(Truncated Cuboctahedron Edge of Hexakis Octahedron^2)

Total Surface Area of Hexakis Octahedron given Insphere Radius

Go 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))

Total Surface Area of Hexakis Octahedron given Midsphere Radius

Go Total Surface Area of Hexakis Octahedron = (3/7)*(sqrt(543+(176*sqrt(2))))*(((4*Midsphere Radius of Hexakis Octahedron)/(1+(2*sqrt(2))))^2)

Total Surface Area of Hexakis Octahedron given Medium Edge

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

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

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 Surface to Volume Ratio Formula

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 Surface to Volume Ratio?

Total Surface Area of Hexakis Octahedron given Surface to Volume Ratio calculator uses Total Surface Area of Hexakis Octahedron = (3/7)*(sqrt(543+(176*sqrt(2))))*(((12*(sqrt(543+(176*sqrt(2)))))/(Surface to Volume Ratio of Hexakis Octahedron*(sqrt(6*(986+(607*sqrt(2)))))))^2) to calculate the Total Surface Area of Hexakis Octahedron, The Total Surface Area of Hexakis Octahedron given Surface to Volume Ratio formula is defined as the amount or quantity of two dimensional space covered on the surface of Hexakis Octahedron, calculated using surface to volume ratio of Hexakis Octahedron. Total Surface Area of Hexakis Octahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Hexakis Octahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Total Surface Area of Hexakis Octahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Hexakis Octahedron (R_A/V) and hit the calculate button. Here is how the Total Surface Area of Hexakis Octahedron given Surface to Volume Ratio calculation can be explained with given input values -> 3106.846 = (3/7)*(sqrt(543+(176*sqrt(2))))*(((12*(sqrt(543+(176*sqrt(2)))))/(0.2*(sqrt(6*(986+(607*sqrt(2)))))))^2).

FAQ

What is Total Surface Area of Hexakis Octahedron given Surface to Volume Ratio?

The Total Surface Area of Hexakis Octahedron given Surface to Volume Ratio formula is defined as the amount or quantity of two dimensional space covered on the surface of Hexakis Octahedron, calculated using surface to volume ratio of Hexakis Octahedron and is represented as TSA = (3/7)*(sqrt(543+(176*sqrt(2))))*(((12*(sqrt(543+(176*sqrt(2)))))/(R_A/V*(sqrt(6*(986+(607*sqrt(2)))))))^2) or Total Surface Area of Hexakis Octahedron = (3/7)*(sqrt(543+(176*sqrt(2))))*(((12*(sqrt(543+(176*sqrt(2)))))/(Surface to Volume Ratio of Hexakis Octahedron*(sqrt(6*(986+(607*sqrt(2)))))))^2). Surface to Volume Ratio of Hexakis Octahedron is what part of or fraction of total volume of Hexakis Octahedron is the total surface area.

How to calculate Total Surface Area of Hexakis Octahedron given Surface to Volume Ratio?

The Total Surface Area of Hexakis Octahedron given Surface to Volume Ratio formula is defined as the amount or quantity of two dimensional space covered on the surface of Hexakis Octahedron, calculated using surface to volume ratio of Hexakis Octahedron is calculated using Total Surface Area of Hexakis Octahedron = (3/7)*(sqrt(543+(176*sqrt(2))))*(((12*(sqrt(543+(176*sqrt(2)))))/(Surface to Volume Ratio of Hexakis Octahedron*(sqrt(6*(986+(607*sqrt(2)))))))^2). To calculate Total Surface Area of Hexakis Octahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Hexakis Octahedron (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio 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 Surface to Volume Ratio of Hexakis Octahedron. We can use 7 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)
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 = (3/7)*(sqrt(543+(176*sqrt(2))))*(((4*Midsphere Radius of Hexakis Octahedron)/(1+(2*sqrt(2))))^2)
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))
Total Surface Area of Hexakis Octahedron = (3/7)*(4/49)*(sqrt(543+(176*sqrt(2))))*(60+(6*sqrt(2)))*(Truncated Cuboctahedron Edge of Hexakis Octahedron^2)

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