Long Edge of Hexakis Octahedron given Volume Calculator

✖Volume of Hexakis Octahedron is the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron.ⓘ Volume of Hexakis Octahedron [V]

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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 Volume [l_e(Long)]

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Long Edge of Hexakis Octahedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Edge of Hexakis Octahedron = (((28*Volume of Hexakis Octahedron)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3))
l_e(Long) = (((28*V)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3))
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.
Volume of Hexakis Octahedron - (Measured in Cubic Meter) - Volume of Hexakis Octahedron is the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron.

STEP 1: Convert Input(s) to Base Unit

Volume of Hexakis Octahedron: 30000 Cubic Meter --> 30000 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Long) = (((28*V)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3)) --> (((28*30000)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3))

Evaluating ... ...

l_e(Long) = 19.9874604296825

STEP 3: Convert Result to Output's Unit

19.9874604296825 Meter --> No Conversion Required

FINAL ANSWER

19.9874604296825 ≈ 19.98746 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 Volume Formula

LaTeX Go

Long Edge of Hexakis Octahedron = (((28*Volume of Hexakis Octahedron)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3))
l_e(Long) = (((28*V)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3))

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 Volume?

Long Edge of Hexakis Octahedron given Volume calculator uses Long Edge of Hexakis Octahedron = (((28*Volume of Hexakis Octahedron)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3)) to calculate the Long Edge of Hexakis Octahedron, The Long Edge of Hexakis Octahedron given Volume formula is defined as the length of the long edge of any of the congruent triangular faces of the Hexakis Octahedron, calculated using volume of Hexakis Octahedron. Long Edge of Hexakis Octahedron is denoted by l_e(Long) symbol.

How to calculate Long Edge of Hexakis Octahedron given Volume using this online calculator? To use this online calculator for Long Edge of Hexakis Octahedron given Volume, enter Volume of Hexakis Octahedron (V) and hit the calculate button. Here is how the Long Edge of Hexakis Octahedron given Volume calculation can be explained with given input values -> 19.98746 = (((28*30000)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3)).

FAQ

What is Long Edge of Hexakis Octahedron given Volume?

The Long Edge of Hexakis Octahedron given Volume formula is defined as the length of the long edge of any of the congruent triangular faces of the Hexakis Octahedron, calculated using volume of Hexakis Octahedron and is represented as l_e(Long) = (((28*V)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3)) or Long Edge of Hexakis Octahedron = (((28*Volume of Hexakis Octahedron)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3)). Volume of Hexakis Octahedron is the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron.

How to calculate Long Edge of Hexakis Octahedron given Volume?

The Long Edge of Hexakis Octahedron given Volume formula is defined as the length of the long edge of any of the congruent triangular faces of the Hexakis Octahedron, calculated using volume of Hexakis Octahedron is calculated using Long Edge of Hexakis Octahedron = (((28*Volume of Hexakis Octahedron)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3)). To calculate Long Edge of Hexakis Octahedron given Volume, you need Volume of Hexakis Octahedron (V). With our tool, you need to enter the respective value for Volume 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 Volume 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 = (14/3)*(Medium Edge of Hexakis Octahedron/(1+(2*sqrt(2))))
Long Edge of Hexakis Octahedron = (14*Short Edge of Hexakis Octahedron)/(10-sqrt(2))

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