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Long Edge of Hexakis Octahedron given Volume Formula

GoLong Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge Formula

GoLong Edge of Hexakis Octahedron given Medium Edge Formula

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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. Check FAQs

l e(Long) = ({(\frac{28 \cdot V}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{1}{3}})

l_e(Long) - Long Edge of Hexakis Octahedron?V - Volume of Hexakis Octahedron?

Long Edge of Hexakis Octahedron given Volume Example

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Here is how the Long Edge of Hexakis Octahedron given Volume equation looks like with Values.

Here is how the Long Edge of Hexakis Octahedron given Volume equation looks like with Units.

Here is how the Long Edge of Hexakis Octahedron given Volume equation looks like.

19.9875 = ({(\frac{28 \cdot 30000}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{1}{3}})

19.9875m = ({(\frac{28 \cdot 30000m³}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{1}{3}})

19.9875 = ({(\frac{28 \cdot 30000}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{1}{3}})

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Long Edge of Hexakis Octahedron given Volume Solution

Follow our step by step solution on how to calculate Long Edge of Hexakis Octahedron given Volume?

FIRST Step Consider the formula

l e(Long) = ({(\frac{28 \cdot V}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{1}{3}})

Next Step Substitute values of Variables

∴

l e(Long) = ({(\frac{28 \cdot 30000m³}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{1}{3}})

Next Step Prepare to Evaluate

∴

l e(Long) = ({(\frac{28 \cdot 30000}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{1}{3}})

Next Step Evaluate

∴

l e(Long) = 19.9874604296825m

LAST Step Rounding Answer

∴

l e(Long) = 19.9875m

Long Edge of Hexakis Octahedron given Volume Formula Elements

Variables

Functions

Long Edge of Hexakis Octahedron

Long Edge of Hexakis Octahedron is the length of the long edge of any of the congruent triangular faces of the Hexakis Octahedron.

Symbol: l_e(Long)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Edge of Hexakis Octahedron

Volume of Hexakis Octahedron

Volume of Hexakis Octahedron is the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Hexakis Octahedron

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.

Syntax: sqrt(Number)

Other Formulas to find Long Edge of Hexakis Octahedron

Go Long Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge

l e(Long) = (\frac{2}{7}) \cdot (\sqrt{60 + (6 \cdot \sqrt{2})}) \cdot l e(Truncated Cuboctahedron)

Go Long Edge of Hexakis Octahedron given Medium Edge

l e(Long) = (\frac{14}{3}) \cdot (\frac{l e(Medium)}{1 + (2 \cdot \sqrt{2})})

Go Long Edge of Hexakis Octahedron given Short Edge

l e(Long) = \frac{14 \cdot l e(Short)}{10 - \sqrt{2}}

Go Long Edge of Hexakis Octahedron given Total Surface Area

l e(Long) = \sqrt{\frac{7 \cdot TSA}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}}

How to Evaluate Long Edge of Hexakis Octahedron given Volume?

Long Edge of Hexakis Octahedron given Volume evaluator uses Long Edge of Hexakis Octahedron = (((28*Volume of Hexakis Octahedron)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3)) to evaluate 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 evaluate Long Edge of Hexakis Octahedron given Volume using this online evaluator? To use this online evaluator for Long Edge of Hexakis Octahedron given Volume, enter Volume of Hexakis Octahedron (V) and hit the calculate button.

FAQs on Long Edge of Hexakis Octahedron given Volume

What is the formula to find Long Edge of Hexakis Octahedron given Volume?

The formula of Long Edge of Hexakis Octahedron given Volume is expressed as Long Edge of Hexakis Octahedron = (((28*Volume of Hexakis Octahedron)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3)). Here is an example- 19.98746 = (((28*30000)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3)).

How to calculate Long Edge of Hexakis Octahedron given Volume?

With Volume of Hexakis Octahedron (V) we can find Long Edge of Hexakis Octahedron given Volume using the formula - Long Edge of Hexakis Octahedron = (((28*Volume of Hexakis Octahedron)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Long Edge of Hexakis Octahedron?

Here are the different ways to Calculate Long Edge of Hexakis Octahedron-

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))

Can the Long Edge of Hexakis Octahedron given Volume be negative?

No, the Long Edge of Hexakis Octahedron given Volume, measured in Length cannot be negative.

Which unit is used to measure Long Edge of Hexakis Octahedron given Volume?

Long Edge of Hexakis Octahedron given Volume is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Long Edge of Hexakis Octahedron given Volume can be measured.

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