Long Edge of Hexakis Octahedron given Medium Edge Calculator

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

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✖Long Edge of Hexakis Octahedron is the length of the long edge of any of the congruent triangular faces of the Hexakis Octahedron.ⓘ Long Edge of Hexakis Octahedron given Medium Edge [l_e(Long)]

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Long Edge of Hexakis Octahedron given Medium Edge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Edge of Hexakis Octahedron = (14/3)*(Medium Edge of Hexakis Octahedron/(1+(2*sqrt(2))))
l_e(Long) = (14/3)*(l_e(Medium)/(1+(2*sqrt(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

Long Edge of Hexakis Octahedron - (Measured in Meter) - Long Edge of Hexakis Octahedron is the length of the long edge of any of the congruent triangular faces of the Hexakis Octahedron.
Medium Edge of Hexakis Octahedron - (Measured in Meter) - Medium Edge of Hexakis Octahedron is the length of the medium edge of any of the congruent triangular faces of the Hexakis Octahedron.

STEP 1: Convert Input(s) to Base Unit

Medium Edge of Hexakis Octahedron: 16 Meter --> 16 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Long) = (14/3)*(l_e(Medium)/(1+(2*sqrt(2)))) --> (14/3)*(16/(1+(2*sqrt(2))))

Evaluating ... ...

l_e(Long) = 19.5032226639594

STEP 3: Convert Result to Output's Unit

19.5032226639594 Meter --> No Conversion Required

FINAL ANSWER

19.5032226639594 ≈ 19.50322 Meter <-- Long Edge of Hexakis Octahedron

(Calculation completed in 00.004 seconds)

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< Long Edge of Hexakis Octahedron Calculators

Long Edge of Hexakis Octahedron given Total Surface Area

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

Long Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge

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

Long Edge of Hexakis Octahedron given Medium Edge

LaTeX Go Long Edge of Hexakis Octahedron = (14/3)*(Medium Edge of Hexakis Octahedron/(1+(2*sqrt(2))))

Long Edge of Hexakis Octahedron given Short Edge

LaTeX Go Long Edge of Hexakis Octahedron = (14*Short Edge of Hexakis Octahedron)/(10-sqrt(2))

Long Edge of Hexakis Octahedron given Medium Edge Formula

LaTeX Go

Long Edge of Hexakis Octahedron = (14/3)*(Medium Edge of Hexakis Octahedron/(1+(2*sqrt(2))))
l_e(Long) = (14/3)*(l_e(Medium)/(1+(2*sqrt(2))))

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 Long Edge of Hexakis Octahedron given Medium Edge?

Long Edge of Hexakis Octahedron given Medium Edge calculator uses Long Edge of Hexakis Octahedron = (14/3)*(Medium Edge of Hexakis Octahedron/(1+(2*sqrt(2)))) to calculate the Long Edge of Hexakis Octahedron, Long Edge of Hexakis Octahedron given Medium Edge formula is defined as the length of the long edge of any of the congruent triangular faces of the Hexakis Octahedron, calculated using medium edge of Hexakis Octahedron. Long Edge of Hexakis Octahedron is denoted by l_e(Long) symbol.

How to calculate Long Edge of Hexakis Octahedron given Medium Edge using this online calculator? To use this online calculator for Long Edge of Hexakis Octahedron given Medium Edge, enter Medium Edge of Hexakis Octahedron (l_e(Medium)) and hit the calculate button. Here is how the Long Edge of Hexakis Octahedron given Medium Edge calculation can be explained with given input values -> 19.50322 = (14/3)*(16/(1+(2*sqrt(2)))).

FAQ

What is Long Edge of Hexakis Octahedron given Medium Edge?

Long Edge of Hexakis Octahedron given Medium Edge formula is defined as the length of the long edge of any of the congruent triangular faces of the Hexakis Octahedron, calculated using medium edge of Hexakis Octahedron and is represented as l_e(Long) = (14/3)*(l_e(Medium)/(1+(2*sqrt(2)))) or Long Edge of Hexakis Octahedron = (14/3)*(Medium Edge of Hexakis Octahedron/(1+(2*sqrt(2)))). Medium Edge of Hexakis Octahedron is the length of the medium edge of any of the congruent triangular faces of the Hexakis Octahedron.

How to calculate Long Edge of Hexakis Octahedron given Medium Edge?

Long Edge of Hexakis Octahedron given Medium Edge formula is defined as the length of the long edge of any of the congruent triangular faces of the Hexakis Octahedron, calculated using medium edge of Hexakis Octahedron is calculated using Long Edge of Hexakis Octahedron = (14/3)*(Medium Edge of Hexakis Octahedron/(1+(2*sqrt(2)))). To calculate Long Edge of Hexakis Octahedron given Medium Edge, you need Medium Edge of Hexakis Octahedron (l_e(Medium)). With our tool, you need to enter the respective value for Medium 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 Long Edge of Hexakis Octahedron?

In this formula, Long Edge of Hexakis Octahedron uses Medium Edge of Hexakis Octahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Long Edge of Hexakis Octahedron = (2/7)*(sqrt(60+(6*sqrt(2))))*Truncated Cuboctahedron Edge of Hexakis Octahedron
Long Edge of Hexakis Octahedron = (14*Short Edge of Hexakis Octahedron)/(10-sqrt(2))
Long Edge of Hexakis Octahedron = sqrt((7*Total Surface Area of Hexakis Octahedron)/(3*sqrt(543+(176*sqrt(2)))))

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