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Medium Edge of Hexakis Octahedron given Insphere Radius Formula

GoMedium Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge Formula

GoMedium Edge of Hexakis Octahedron Formula

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Medium Edge of Hexakis Octahedron is the length of the medium edge of any of the congruent triangular faces of the Hexakis Octahedron. Check FAQs

l e(Medium) = (\frac{3}{7}) \cdot r i \cdot (\frac{1 + (2 \cdot \sqrt{2})}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}})

l_e(Medium) - Medium Edge of Hexakis Octahedron?r_i - Insphere Radius of Hexakis Octahedron?

Medium Edge of Hexakis Octahedron given Insphere Radius Example

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

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

Here is how the Medium Edge of Hexakis Octahedron given Insphere Radius equation looks like.

15.8007 = (\frac{3}{7}) \cdot 18 \cdot (\frac{1 + (2 \cdot \sqrt{2})}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}})

15.8007m = (\frac{3}{7}) \cdot 18m \cdot (\frac{1 + (2 \cdot \sqrt{2})}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}})

15.8007 = (\frac{3}{7}) \cdot 18 \cdot (\frac{1 + (2 \cdot \sqrt{2})}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}})

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Medium Edge of Hexakis Octahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

l e(Medium) = (\frac{3}{7}) \cdot r i \cdot (\frac{1 + (2 \cdot \sqrt{2})}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}})

Next Step Substitute values of Variables

∴

l e(Medium) = (\frac{3}{7}) \cdot 18m \cdot (\frac{1 + (2 \cdot \sqrt{2})}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}})

Next Step Prepare to Evaluate

∴

l e(Medium) = (\frac{3}{7}) \cdot 18 \cdot (\frac{1 + (2 \cdot \sqrt{2})}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}})

Next Step Evaluate

∴

l e(Medium) = 15.8006615835226m

LAST Step Rounding Answer

∴

l e(Medium) = 15.8007m

Medium Edge of Hexakis Octahedron given Insphere Radius Formula Elements

Variables

Functions

Medium Edge of Hexakis Octahedron

Medium Edge of Hexakis Octahedron is the length of the medium edge of any of the congruent triangular faces of the Hexakis Octahedron.

Symbol: l_e(Medium)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Medium Edge of Hexakis Octahedron

Insphere Radius of Hexakis Octahedron

Insphere Radius of Hexakis Octahedron is defined as the radius of the sphere that is contained by the Hexakis Octahedron in such a way that all the faces just touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere 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 Medium Edge of Hexakis Octahedron

Go Medium Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge

l e(Medium) = (\frac{3}{7}) \cdot (\sqrt{12 + (6 \cdot \sqrt{2})}) \cdot l e(Truncated Cuboctahedron)

Go Medium Edge of Hexakis Octahedron

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

Go Medium Edge of Hexakis Octahedron given Short Edge

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

Go Medium Edge of Hexakis Octahedron given Total Surface Area

l e(Medium) = (\frac{3}{14}) \cdot (1 + (2 \cdot \sqrt{2})) \cdot (\sqrt{\frac{7 \cdot TSA}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}})

How to Evaluate Medium Edge of Hexakis Octahedron given Insphere Radius?

Medium Edge of Hexakis Octahedron given Insphere Radius evaluator uses Medium Edge of Hexakis Octahedron = (3/7)*Insphere Radius of Hexakis Octahedron*((1+(2*sqrt(2)))/(sqrt((402+(195*sqrt(2)))/194))) to evaluate the Medium Edge of Hexakis Octahedron, Medium Edge of Hexakis Octahedron given Insphere Radius formula is defined as the length of the medium edge of any of the congruent triangular faces of the Hexakis Octahedron, calculated using insphere radius of Hexakis Octahedron. Medium Edge of Hexakis Octahedron is denoted by l_e(Medium) symbol.

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

FAQs on Medium Edge of Hexakis Octahedron given Insphere Radius

What is the formula to find Medium Edge of Hexakis Octahedron given Insphere Radius?

The formula of Medium Edge of Hexakis Octahedron given Insphere Radius is expressed as Medium Edge of Hexakis Octahedron = (3/7)*Insphere Radius of Hexakis Octahedron*((1+(2*sqrt(2)))/(sqrt((402+(195*sqrt(2)))/194))). Here is an example- 15.80066 = (3/7)*18*((1+(2*sqrt(2)))/(sqrt((402+(195*sqrt(2)))/194))).

How to calculate Medium Edge of Hexakis Octahedron given Insphere Radius?

With Insphere Radius of Hexakis Octahedron (r_i) we can find Medium Edge of Hexakis Octahedron given Insphere Radius using the formula - Medium Edge of Hexakis Octahedron = (3/7)*Insphere Radius of Hexakis Octahedron*((1+(2*sqrt(2)))/(sqrt((402+(195*sqrt(2)))/194))). This formula also uses Square Root (sqrt) function(s).

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

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

Medium Edge of Hexakis Octahedron=(3/7)*(sqrt(12+(6*sqrt(2))))*Truncated Cuboctahedron Edge of Hexakis Octahedron
Medium Edge of Hexakis Octahedron=(3/14)*(1+(2*sqrt(2)))*Long Edge of Hexakis Octahedron
Medium Edge of Hexakis Octahedron=(3*Short Edge of Hexakis Octahedron*(1+(2*sqrt(2))))/(10-sqrt(2))

Can the Medium Edge of Hexakis Octahedron given Insphere Radius be negative?

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

Which unit is used to measure Medium Edge of Hexakis Octahedron given Insphere Radius?

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

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