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Short Edge of Hexakis Octahedron given Surface to Volume Ratio 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{12 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}{R A/V \cdot (\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))})})

l_e(Short) - Short Edge of Hexakis Octahedron?R_A/V - Surface to Volume Ratio of Hexakis Octahedron?

Short Edge of Hexakis Octahedron given Surface to Volume Ratio Example

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

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

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

9.8431 = (\frac{10 - \sqrt{2}}{14}) \cdot (\frac{12 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}{0.2 \cdot (\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))})})

9.8431m = (\frac{10 - \sqrt{2}}{14}) \cdot (\frac{12 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}{0.2m⁻¹ \cdot (\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))})})

9.8431 = (\frac{10 - \sqrt{2}}{14}) \cdot (\frac{12 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}{0.2 \cdot (\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))})})

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Short Edge of Hexakis Octahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

l e(Short) = (\frac{10 - \sqrt{2}}{14}) \cdot (\frac{12 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}{R A/V \cdot (\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))})})

Next Step Substitute values of Variables

∴

l e(Short) = (\frac{10 - \sqrt{2}}{14}) \cdot (\frac{12 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}{0.2m⁻¹ \cdot (\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))})})

Next Step Prepare to Evaluate

∴

l e(Short) = (\frac{10 - \sqrt{2}}{14}) \cdot (\frac{12 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}{0.2 \cdot (\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))})})

Next Step Evaluate

∴

l e(Short) = 9.84311293072512m

LAST Step Rounding Answer

∴

l e(Short) = 9.8431m

Short Edge of Hexakis Octahedron given Surface to Volume Ratio 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

Surface to Volume Ratio of Hexakis Octahedron

Surface to Volume Ratio of Hexakis Octahedron is what part of or fraction of total volume of Hexakis Octahedron is the total surface area.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio 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 Surface to Volume Ratio?

Short Edge of Hexakis Octahedron given Surface to Volume Ratio evaluator uses Short Edge of Hexakis Octahedron = ((10-sqrt(2))/14)*((12*sqrt(543+(176*sqrt(2))))/(Surface to Volume Ratio of Hexakis Octahedron*(sqrt(6*(986+(607*sqrt(2))))))) to evaluate the Short Edge of Hexakis Octahedron, The Short Edge of Hexakis Octahedron given Surface to Volume Ratio formula is defined as the length of the shortest edge of any of the congruent triangular faces of the Hexakis Octahedron, calculated using surface to volume ratio of Hexakis Octahedron. Short Edge of Hexakis Octahedron is denoted by l_e(Short) symbol.

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

FAQs on Short Edge of Hexakis Octahedron given Surface to Volume Ratio

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

The formula of Short Edge of Hexakis Octahedron given Surface to Volume Ratio is expressed as Short Edge of Hexakis Octahedron = ((10-sqrt(2))/14)*((12*sqrt(543+(176*sqrt(2))))/(Surface to Volume Ratio of Hexakis Octahedron*(sqrt(6*(986+(607*sqrt(2))))))). Here is an example- 9.843113 = ((10-sqrt(2))/14)*((12*sqrt(543+(176*sqrt(2))))/(0.2*(sqrt(6*(986+(607*sqrt(2))))))).

How to calculate Short Edge of Hexakis Octahedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Hexakis Octahedron (R_A/V) we can find Short Edge of Hexakis Octahedron given Surface to Volume Ratio using the formula - Short Edge of Hexakis Octahedron = ((10-sqrt(2))/14)*((12*sqrt(543+(176*sqrt(2))))/(Surface to Volume Ratio of Hexakis Octahedron*(sqrt(6*(986+(607*sqrt(2))))))). 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 Surface to Volume Ratio be negative?

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

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

Short Edge of Hexakis Octahedron given Surface to Volume Ratio 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 Surface to Volume Ratio can be measured.

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