Total Surface Area of Hexakis Octahedron given Short Edge Calculator

✖Short Edge of Hexakis Octahedron is the length of the shortest edge of any of the congruent triangular faces of the Hexakis Octahedron.ⓘ Short Edge of Hexakis Octahedron [l_e(Short)]

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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 Short Edge [TSA]

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Total Surface Area of Hexakis Octahedron given Short Edge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Hexakis Octahedron = (3/7)*(sqrt(543+(176*sqrt(2))))*(((14*Short Edge of Hexakis Octahedron)/(10-sqrt(2)))^2)
TSA = (3/7)*(sqrt(543+(176*sqrt(2))))*(((14*l_e(Short))/(10-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.
Short Edge of Hexakis Octahedron - (Measured in Meter) - Short Edge of Hexakis Octahedron is the length of the shortest edge of any of the congruent triangular faces of the Hexakis Octahedron.

STEP 1: Convert Input(s) to Base Unit

Short Edge of Hexakis Octahedron: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (3/7)*(sqrt(543+(176*sqrt(2))))*(((14*l_e(Short))/(10-sqrt(2)))^2) --> (3/7)*(sqrt(543+(176*sqrt(2))))*(((14*12)/(10-sqrt(2)))^2)

Evaluating ... ...

TSA = 4617.6096975166

STEP 3: Convert Result to Output's Unit

4617.6096975166 Square Meter --> No Conversion Required

FINAL ANSWER

4617.6096975166 ≈ 4617.61 Square Meter <-- Total Surface Area of Hexakis Octahedron

(Calculation completed in 00.007 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 Short 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 Short Edge?

Total Surface Area of Hexakis Octahedron given Short Edge calculator uses Total Surface Area of Hexakis Octahedron = (3/7)*(sqrt(543+(176*sqrt(2))))*(((14*Short Edge of Hexakis Octahedron)/(10-sqrt(2)))^2) to calculate the Total Surface Area of Hexakis Octahedron, The Total Surface Area of Hexakis Octahedron given Short Edge formula is defined as the amount or quantity of two dimensional space covered on the surface of Hexakis Octahedron, calculated using short 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 Short Edge using this online calculator? To use this online calculator for Total Surface Area of Hexakis Octahedron given Short Edge, enter Short Edge of Hexakis Octahedron (l_e(Short)) and hit the calculate button. Here is how the Total Surface Area of Hexakis Octahedron given Short Edge calculation can be explained with given input values -> 4617.61 = (3/7)*(sqrt(543+(176*sqrt(2))))*(((14*12)/(10-sqrt(2)))^2).

FAQ

What is Total Surface Area of Hexakis Octahedron given Short Edge?

The Total Surface Area of Hexakis Octahedron given Short Edge formula is defined as the amount or quantity of two dimensional space covered on the surface of Hexakis Octahedron, calculated using short edge of Hexakis Octahedron and is represented as TSA = (3/7)*(sqrt(543+(176*sqrt(2))))*(((14*l_e(Short))/(10-sqrt(2)))^2) or Total Surface Area of Hexakis Octahedron = (3/7)*(sqrt(543+(176*sqrt(2))))*(((14*Short Edge of Hexakis Octahedron)/(10-sqrt(2)))^2). Short Edge of Hexakis Octahedron is the length of the shortest edge of any of the congruent triangular faces of the Hexakis Octahedron.

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

The Total Surface Area of Hexakis Octahedron given Short Edge formula is defined as the amount or quantity of two dimensional space covered on the surface of Hexakis Octahedron, calculated using short edge of Hexakis Octahedron is calculated using Total Surface Area of Hexakis Octahedron = (3/7)*(sqrt(543+(176*sqrt(2))))*(((14*Short Edge of Hexakis Octahedron)/(10-sqrt(2)))^2). To calculate Total Surface Area of Hexakis Octahedron given Short Edge, you need Short Edge of Hexakis Octahedron (l_e(Short)). With our tool, you need to enter the respective value for Short 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 Short 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))))*(((28*Volume of Hexakis Octahedron)/(sqrt(6*(986+(607*sqrt(2))))))^(2/3))

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