Truncated Cuboctahedron Edge 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)]

+10%

-10%

✖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 given Short Edge [l_{e(Truncated Cuboctahedron)}]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Truncated Cuboctahedron Edge of Hexakis Octahedron given Short Edge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Truncated Cuboctahedron Edge of Hexakis Octahedron = (7/2)*(1/sqrt(30-(3*sqrt(2))))*Short Edge of Hexakis Octahedron
l_{e(Truncated Cuboctahedron)} = (7/2)*(1/sqrt(30-(3*sqrt(2))))*l_e(Short)
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

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.
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

l_{e(Truncated Cuboctahedron)} = (7/2)*(1/sqrt(30-(3*sqrt(2))))*l_e(Short) --> (7/2)*(1/sqrt(30-(3*sqrt(2))))*12

Evaluating ... ...

l_{e(Truncated Cuboctahedron)} = 8.27558344615282

STEP 3: Convert Result to Output's Unit

8.27558344615282 Meter --> No Conversion Required

FINAL ANSWER

8.27558344615282 ≈ 8.275583 Meter <-- Truncated Cuboctahedron Edge of Hexakis Octahedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » CatalanSolids » Hexakis Octahedron » Edges of Hexakis Octahedron » Truncated Cuboctahedron Edge of Hexakis Octahedron » Truncated Cuboctahedron Edge of Hexakis Octahedron given Short Edge

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< Truncated Cuboctahedron Edge of Hexakis Octahedron Calculators

Truncated Cuboctahedron Edge of Hexakis Octahedron given Total Surface Area

LaTeX Go Truncated Cuboctahedron Edge of Hexakis Octahedron = sqrt((7*49*Total Surface Area of Hexakis Octahedron)/(12*(60+(6*sqrt(2)))*(sqrt(543+(176*sqrt(2))))))

Truncated Cuboctahedron Edge of Hexakis Octahedron given Medium Edge

LaTeX Go Truncated Cuboctahedron Edge of Hexakis Octahedron = (7/3)*(1/sqrt(12+(6*sqrt(2))))*Medium Edge of Hexakis Octahedron

Truncated Cuboctahedron Edge of Hexakis Octahedron given Short Edge

LaTeX Go Truncated Cuboctahedron Edge of Hexakis Octahedron = (7/2)*(1/sqrt(30-(3*sqrt(2))))*Short Edge of Hexakis Octahedron

Truncated Cuboctahedron Edge of Hexakis Octahedron

LaTeX Go Truncated Cuboctahedron Edge of Hexakis Octahedron = (7/2)*(1/sqrt(60+(6*sqrt(2))))*Long Edge of Hexakis Octahedron

Truncated Cuboctahedron Edge of Hexakis Octahedron given Short Edge Formula

LaTeX Go

Truncated Cuboctahedron Edge of Hexakis Octahedron = (7/2)*(1/sqrt(30-(3*sqrt(2))))*Short Edge of Hexakis Octahedron
l_{e(Truncated Cuboctahedron)} = (7/2)*(1/sqrt(30-(3*sqrt(2))))*l_e(Short)

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 Truncated Cuboctahedron Edge of Hexakis Octahedron given Short Edge?

Truncated Cuboctahedron Edge of Hexakis Octahedron given Short Edge calculator uses Truncated Cuboctahedron Edge of Hexakis Octahedron = (7/2)*(1/sqrt(30-(3*sqrt(2))))*Short Edge of Hexakis Octahedron to calculate the Truncated Cuboctahedron Edge of Hexakis Octahedron, The Truncated Cuboctahedron Edge of Hexakis Octahedron given Short Edge formula is defined as the length of the edges of a Hexakis Octahedron that is created by truncating the vertices of a Cuboctahedron, calculated using the short edge of Hexakis Octahedron. Truncated Cuboctahedron Edge of Hexakis Octahedron is denoted by l_{e(Truncated Cuboctahedron)} symbol.

How to calculate Truncated Cuboctahedron Edge of Hexakis Octahedron given Short Edge using this online calculator? To use this online calculator for Truncated Cuboctahedron Edge of Hexakis Octahedron given Short Edge, enter Short Edge of Hexakis Octahedron (l_e(Short)) and hit the calculate button. Here is how the Truncated Cuboctahedron Edge of Hexakis Octahedron given Short Edge calculation can be explained with given input values -> 8.275583 = (7/2)*(1/sqrt(30-(3*sqrt(2))))*12.

FAQ

What is Truncated Cuboctahedron Edge of Hexakis Octahedron given Short Edge?

The Truncated Cuboctahedron Edge of Hexakis Octahedron given Short Edge formula is defined as the length of the edges of a Hexakis Octahedron that is created by truncating the vertices of a Cuboctahedron, calculated using the short edge of Hexakis Octahedron and is represented as l_{e(Truncated Cuboctahedron)} = (7/2)*(1/sqrt(30-(3*sqrt(2))))*l_e(Short) or Truncated Cuboctahedron Edge of Hexakis Octahedron = (7/2)*(1/sqrt(30-(3*sqrt(2))))*Short Edge of Hexakis Octahedron. 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 Truncated Cuboctahedron Edge of Hexakis Octahedron given Short Edge?

The Truncated Cuboctahedron Edge of Hexakis Octahedron given Short Edge formula is defined as the length of the edges of a Hexakis Octahedron that is created by truncating the vertices of a Cuboctahedron, calculated using the short edge of Hexakis Octahedron is calculated using Truncated Cuboctahedron Edge of Hexakis Octahedron = (7/2)*(1/sqrt(30-(3*sqrt(2))))*Short Edge of Hexakis Octahedron. To calculate Truncated Cuboctahedron Edge 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 Truncated Cuboctahedron Edge of Hexakis Octahedron?

In this formula, Truncated Cuboctahedron Edge 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 -

Truncated Cuboctahedron Edge of Hexakis Octahedron = (7/2)*(1/sqrt(60+(6*sqrt(2))))*Long Edge of Hexakis Octahedron
Truncated Cuboctahedron Edge of Hexakis Octahedron = (7/3)*(1/sqrt(12+(6*sqrt(2))))*Medium Edge of Hexakis Octahedron
Truncated Cuboctahedron Edge of Hexakis Octahedron = sqrt((7*49*Total Surface Area of Hexakis Octahedron)/(12*(60+(6*sqrt(2)))*(sqrt(543+(176*sqrt(2))))))

Home

FREE PDFs

🔍 Search