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Short Edge of Hexakis Octahedron given Midsphere Radius 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{4 \cdot r m}{1 + (2 \cdot \sqrt{2})})

l_e(Short) - Short Edge of Hexakis Octahedron?r_m - Midsphere Radius of Hexakis Octahedron?

Short Edge of Hexakis Octahedron given Midsphere Radius Example

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

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

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

12.1743 = (\frac{10 - \sqrt{2}}{14}) \cdot (\frac{4 \cdot 19}{1 + (2 \cdot \sqrt{2})})

12.1743m = (\frac{10 - \sqrt{2}}{14}) \cdot (\frac{4 \cdot 19m}{1 + (2 \cdot \sqrt{2})})

12.1743 = (\frac{10 - \sqrt{2}}{14}) \cdot (\frac{4 \cdot 19}{1 + (2 \cdot \sqrt{2})})

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Short Edge of Hexakis Octahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

l e(Short) = (\frac{10 - \sqrt{2}}{14}) \cdot (\frac{4 \cdot r m}{1 + (2 \cdot \sqrt{2})})

Next Step Substitute values of Variables

∴

l e(Short) = (\frac{10 - \sqrt{2}}{14}) \cdot (\frac{4 \cdot 19m}{1 + (2 \cdot \sqrt{2})})

Next Step Prepare to Evaluate

∴

l e(Short) = (\frac{10 - \sqrt{2}}{14}) \cdot (\frac{4 \cdot 19}{1 + (2 \cdot \sqrt{2})})

Next Step Evaluate

∴

l e(Short) = 12.1743351586475m

LAST Step Rounding Answer

∴

l e(Short) = 12.1743m

Short Edge of Hexakis Octahedron given Midsphere Radius 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

Midsphere Radius of Hexakis Octahedron

Midsphere Radius of Hexakis Octahedron is defined as the radius of the sphere for which all the edges of the Hexakis Octahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius 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 Midsphere Radius?

Short Edge of Hexakis Octahedron given Midsphere Radius evaluator uses Short Edge of Hexakis Octahedron = ((10-sqrt(2))/14)*((4*Midsphere Radius of Hexakis Octahedron)/(1+(2*sqrt(2)))) to evaluate the Short Edge of Hexakis Octahedron, Short Edge of Hexakis Octahedron given Midsphere Radius formula is defined as the length of the shortest edge of any of the congruent triangular faces of the Hexakis Octahedron, calculated using midsphere radius of Hexakis Octahedron. Short Edge of Hexakis Octahedron is denoted by l_e(Short) symbol.

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

FAQs on Short Edge of Hexakis Octahedron given Midsphere Radius

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

The formula of Short Edge of Hexakis Octahedron given Midsphere Radius is expressed as Short Edge of Hexakis Octahedron = ((10-sqrt(2))/14)*((4*Midsphere Radius of Hexakis Octahedron)/(1+(2*sqrt(2)))). Here is an example- 12.17434 = ((10-sqrt(2))/14)*((4*19)/(1+(2*sqrt(2)))).

How to calculate Short Edge of Hexakis Octahedron given Midsphere Radius?

With Midsphere Radius of Hexakis Octahedron (r_m) we can find Short Edge of Hexakis Octahedron given Midsphere Radius using the formula - Short Edge of Hexakis Octahedron = ((10-sqrt(2))/14)*((4*Midsphere Radius of Hexakis Octahedron)/(1+(2*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 Midsphere Radius be negative?

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

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

Short Edge of Hexakis Octahedron given Midsphere Radius 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 Midsphere Radius can be measured.

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