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Medium Edge of Hexakis Octahedron given Short Edge 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 \cdot l e(Short) \cdot (1 + (2 \cdot \sqrt{2}))}{10 - \sqrt{2}}

l_e(Medium) - Medium Edge of Hexakis Octahedron?l_e(Short) - Short Edge of Hexakis Octahedron?

Medium Edge of Hexakis Octahedron given Short Edge Example

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

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

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

16.0525 = \frac{3 \cdot 12 \cdot (1 + (2 \cdot \sqrt{2}))}{10 - \sqrt{2}}

16.0525m = \frac{3 \cdot 12m \cdot (1 + (2 \cdot \sqrt{2}))}{10 - \sqrt{2}}

16.0525 = \frac{3 \cdot 12 \cdot (1 + (2 \cdot \sqrt{2}))}{10 - \sqrt{2}}

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Medium Edge of Hexakis Octahedron given Short Edge Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e(Medium) = \frac{3 \cdot 12m \cdot (1 + (2 \cdot \sqrt{2}))}{10 - \sqrt{2}}

Next Step Prepare to Evaluate

∴

l e(Medium) = \frac{3 \cdot 12 \cdot (1 + (2 \cdot \sqrt{2}))}{10 - \sqrt{2}}

Next Step Evaluate

∴

l e(Medium) = 16.052504624021m

LAST Step Rounding Answer

∴

l e(Medium) = 16.0525m

Medium Edge of Hexakis Octahedron given Short Edge 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

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

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 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})}}})

Go Medium Edge of Hexakis Octahedron given Volume

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

How to Evaluate Medium Edge of Hexakis Octahedron given Short Edge?

Medium Edge of Hexakis Octahedron given Short Edge evaluator uses Medium Edge of Hexakis Octahedron = (3*Short Edge of Hexakis Octahedron*(1+(2*sqrt(2))))/(10-sqrt(2)) to evaluate the Medium Edge of Hexakis Octahedron, Medium Edge of Hexakis Octahedron given Short Edge is defined as the length of the medium edge of any of the congruent triangular faces of the Hexakis Octahedron, calculated using short edge of Hexakis Octahedron. Medium Edge of Hexakis Octahedron is denoted by l_e(Medium) symbol.

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

FAQs on Medium Edge of Hexakis Octahedron given Short Edge

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

The formula of Medium Edge of Hexakis Octahedron given Short Edge is expressed as Medium Edge of Hexakis Octahedron = (3*Short Edge of Hexakis Octahedron*(1+(2*sqrt(2))))/(10-sqrt(2)). Here is an example- 16.0525 = (3*12*(1+(2*sqrt(2))))/(10-sqrt(2)).

How to calculate Medium Edge of Hexakis Octahedron given Short Edge?

With Short Edge of Hexakis Octahedron (l_e(Short)) we can find Medium Edge of Hexakis Octahedron given Short Edge using the formula - Medium Edge of Hexakis Octahedron = (3*Short Edge of Hexakis Octahedron*(1+(2*sqrt(2))))/(10-sqrt(2)). 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=(3/14)*(1+(2*sqrt(2)))*(sqrt((7*Total Surface Area of Hexakis Octahedron)/(3*sqrt(543+(176*sqrt(2))))))

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

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

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

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

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