Total Surface Area of Hexakis Octahedron given Truncated Cuboctahedron Edge Calculator

✖Truncated Cuboctahedron Edge of Hexakis Octahedron is the length of the edges of a Hexakis Octahedron that is created by truncating the vertices of a Cuboctahedron.ⓘ Truncated Cuboctahedron Edge of Hexakis Octahedron [l_{e(Truncated Cuboctahedron)}]

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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 Truncated Cuboctahedron Edge [TSA]

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Total Surface Area of Hexakis Octahedron given Truncated Cuboctahedron Edge Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
TSA = (3/7)*(4/49)*(sqrt(543+(176*sqrt(2))))*(60+(6*sqrt(2)))*(l_{e(Truncated Cuboctahedron)}^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.
Truncated Cuboctahedron Edge of Hexakis Octahedron - (Measured in Meter) - Truncated Cuboctahedron Edge of Hexakis Octahedron is the length of the edges of a Hexakis Octahedron that is created by truncating the vertices of a Cuboctahedron.

STEP 1: Convert Input(s) to Base Unit

Truncated Cuboctahedron Edge of Hexakis Octahedron: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (3/7)*(4/49)*(sqrt(543+(176*sqrt(2))))*(60+(6*sqrt(2)))*(l_{e(Truncated Cuboctahedron)}^2) --> (3/7)*(4/49)*(sqrt(543+(176*sqrt(2))))*(60+(6*sqrt(2)))*(8^2)

Evaluating ... ...

TSA = 4315.19028192571

STEP 3: Convert Result to Output's Unit

4315.19028192571 Square Meter --> No Conversion Required

FINAL ANSWER

4315.19028192571 ≈ 4315.19 Square Meter <-- Total Surface Area of Hexakis Octahedron

(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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< 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 Truncated Cuboctahedron Edge 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 Truncated Cuboctahedron Edge?

Total Surface Area of Hexakis Octahedron given Truncated Cuboctahedron Edge calculator uses 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) to calculate the Total Surface Area of Hexakis Octahedron, The Total Surface Area of Hexakis Octahedron given Truncated Cuboctahedron Edge formula is defined as the amount or quantity of two dimensional space covered on the surface of Hexakis Octahedron, calculated using truncated cuboctahedron edge of Hexakis Octahedron. Total Surface Area of Hexakis Octahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Hexakis Octahedron given Truncated Cuboctahedron Edge using this online calculator? To use this online calculator for Total Surface Area of Hexakis Octahedron given Truncated Cuboctahedron Edge, enter Truncated Cuboctahedron Edge of Hexakis Octahedron (l_{e(Truncated Cuboctahedron)}) and hit the calculate button. Here is how the Total Surface Area of Hexakis Octahedron given Truncated Cuboctahedron Edge calculation can be explained with given input values -> 4315.19 = (3/7)*(4/49)*(sqrt(543+(176*sqrt(2))))*(60+(6*sqrt(2)))*(8^2).

FAQ

What is Total Surface Area of Hexakis Octahedron given Truncated Cuboctahedron Edge?

The Total Surface Area of Hexakis Octahedron given Truncated Cuboctahedron Edge formula is defined as the amount or quantity of two dimensional space covered on the surface of Hexakis Octahedron, calculated using truncated cuboctahedron edge of Hexakis Octahedron and is represented as TSA = (3/7)*(4/49)*(sqrt(543+(176*sqrt(2))))*(60+(6*sqrt(2)))*(l_{e(Truncated Cuboctahedron)}^2) or 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). Truncated Cuboctahedron Edge of Hexakis Octahedron is the length of the edges of a Hexakis Octahedron that is created by truncating the vertices of a Cuboctahedron.

How to calculate Total Surface Area of Hexakis Octahedron given Truncated Cuboctahedron Edge?

The Total Surface Area of Hexakis Octahedron given Truncated Cuboctahedron Edge formula is defined as the amount or quantity of two dimensional space covered on the surface of Hexakis Octahedron, calculated using truncated cuboctahedron edge of Hexakis Octahedron is calculated using 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). To calculate Total Surface Area of Hexakis Octahedron given Truncated Cuboctahedron Edge, you need Truncated Cuboctahedron Edge of Hexakis Octahedron (l_{e(Truncated Cuboctahedron)}). With our tool, you need to enter the respective value for Truncated Cuboctahedron Edge 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 Truncated Cuboctahedron Edge 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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