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Short Edge of Hexakis Octahedron given Volume Formula

GoShort Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge Formula

GoShort Edge of Hexakis Octahedron Formula

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Short Edge of Hexakis Octahedron is the length of the shortest edge of any of the congruent triangular faces of the Hexakis Octahedron. Check FAQs

l e(Short) = (\frac{10 - \sqrt{2}}{14}) \cdot ({(\frac{28 \cdot V}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{1}{3}})

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

Short Edge of Hexakis Octahedron given Volume Example

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

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

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

12.2577 = (\frac{10 - \sqrt{2}}{14}) \cdot ({(\frac{28 \cdot 30000}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{1}{3}})

12.2577m = (\frac{10 - \sqrt{2}}{14}) \cdot ({(\frac{28 \cdot 30000m³}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{1}{3}})

12.2577 = (\frac{10 - \sqrt{2}}{14}) \cdot ({(\frac{28 \cdot 30000}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{1}{3}})

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Short Edge of Hexakis Octahedron given Volume Solution

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

FIRST Step Consider the formula

l e(Short) = (\frac{10 - \sqrt{2}}{14}) \cdot ({(\frac{28 \cdot V}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{1}{3}})

Next Step Substitute values of Variables

∴

l e(Short) = (\frac{10 - \sqrt{2}}{14}) \cdot ({(\frac{28 \cdot 30000m³}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{1}{3}})

Next Step Prepare to Evaluate

∴

l e(Short) = (\frac{10 - \sqrt{2}}{14}) \cdot ({(\frac{28 \cdot 30000}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{1}{3}})

Next Step Evaluate

∴

l e(Short) = 12.2577190485552m

LAST Step Rounding Answer

∴

l e(Short) = 12.2577m

Short Edge of Hexakis Octahedron given Volume Formula Elements

Variables

Functions

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.

Symbol: l_e(Short)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short 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 Short Edge of Hexakis Octahedron

Go Short Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge

l e(Short) = (\frac{2}{7}) \cdot (\sqrt{30 - (3 \cdot \sqrt{2})}) \cdot l e(Truncated Cuboctahedron)

Go Short Edge of Hexakis Octahedron

l e(Short) = (\frac{1}{14}) \cdot (10 - \sqrt{2}) \cdot l e(Long)

Go Short Edge of Hexakis Octahedron given Medium Edge

l e(Short) = (\frac{10 - \sqrt{2}}{14}) \cdot (\frac{14}{3 \cdot (1 + (2 \cdot \sqrt{2}))}) \cdot l e(Medium)

Go Short Edge of Hexakis Octahedron given Total Surface Area

l e(Short) = (\frac{10 - \sqrt{2}}{14}) \cdot (\sqrt{\frac{7 \cdot TSA}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}})

How to Evaluate Short Edge of Hexakis Octahedron given Volume?

Short Edge of Hexakis Octahedron given Volume evaluator uses Short Edge of Hexakis Octahedron = ((10-sqrt(2))/14)*(((28*Volume of Hexakis Octahedron)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3)) to evaluate the Short Edge of Hexakis Octahedron, The Short Edge of Hexakis Octahedron given Volume formula is defined as the length of the shortest edge of any of the congruent triangular faces of the Hexakis Octahedron, calculated using volume of Hexakis Octahedron. Short Edge of Hexakis Octahedron is denoted by l_e(Short) symbol.

How to evaluate Short Edge of Hexakis Octahedron given Volume using this online evaluator? To use this online evaluator for Short Edge of Hexakis Octahedron given Volume, enter Volume of Hexakis Octahedron (V) and hit the calculate button.

FAQs on Short Edge of Hexakis Octahedron given Volume

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

The formula of Short Edge of Hexakis Octahedron given Volume is expressed as Short Edge of Hexakis Octahedron = ((10-sqrt(2))/14)*(((28*Volume of Hexakis Octahedron)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3)). Here is an example- 12.25772 = ((10-sqrt(2))/14)*(((28*30000)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3)).

How to calculate Short Edge of Hexakis Octahedron given Volume?

With Volume of Hexakis Octahedron (V) we can find Short Edge of Hexakis Octahedron given Volume using the formula - Short Edge of Hexakis Octahedron = ((10-sqrt(2))/14)*(((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 Short Edge of Hexakis Octahedron?

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

Short Edge of Hexakis Octahedron=(2/7)*(sqrt(30-(3*sqrt(2))))*Truncated Cuboctahedron Edge of Hexakis Octahedron
Short Edge of Hexakis Octahedron=(1/14)*(10-sqrt(2))*Long Edge of Hexakis Octahedron
Short Edge of Hexakis Octahedron=((10-sqrt(2))/14)*(14/(3*(1+(2*sqrt(2)))))*Medium Edge of Hexakis Octahedron

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

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

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

Short 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 Short Edge of Hexakis Octahedron given Volume can be measured.

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