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Medium Edge of Hexakis Octahedron given Total Surface Area 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}{14}) \cdot (1 + (2 \cdot \sqrt{2})) \cdot (\sqrt{\frac{7 \cdot TSA}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}})

l_e(Medium) - Medium Edge of Hexakis Octahedron?TSA - Total Surface Area of Hexakis Octahedron?

Medium Edge of Hexakis Octahedron given Total Surface Area Example

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

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

Here is how the Medium Edge of Hexakis Octahedron given Total Surface Area equation looks like.

16.3665 = (\frac{3}{14}) \cdot (1 + (2 \cdot \sqrt{2})) \cdot (\sqrt{\frac{7 \cdot 4800}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}})

16.3665m = (\frac{3}{14}) \cdot (1 + (2 \cdot \sqrt{2})) \cdot (\sqrt{\frac{7 \cdot 4800m²}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}})

16.3665 = (\frac{3}{14}) \cdot (1 + (2 \cdot \sqrt{2})) \cdot (\sqrt{\frac{7 \cdot 4800}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}})

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Medium Edge of Hexakis Octahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

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})}}})

Next Step Substitute values of Variables

∴

l e(Medium) = (\frac{3}{14}) \cdot (1 + (2 \cdot \sqrt{2})) \cdot (\sqrt{\frac{7 \cdot 4800m²}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}})

Next Step Prepare to Evaluate

∴

l e(Medium) = (\frac{3}{14}) \cdot (1 + (2 \cdot \sqrt{2})) \cdot (\sqrt{\frac{7 \cdot 4800}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}})

Next Step Evaluate

∴

l e(Medium) = 16.3664621944119m

LAST Step Rounding Answer

∴

l e(Medium) = 16.3665m

Medium Edge of Hexakis Octahedron given Total Surface Area 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

Total Surface Area of Hexakis Octahedron

Total Surface Area of Hexakis Octahedron is the amount or quantity of two dimensional space covered on the surface of Hexakis Octahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 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 Total Surface Area?

Medium Edge of Hexakis Octahedron given Total Surface Area evaluator uses 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)))))) to evaluate the Medium Edge of Hexakis Octahedron, The Medium Edge of Hexakis Octahedron given Total Surface Area formula is defined as the length of the medium edge of any of the congruent triangular faces of the Hexakis Octahedron, calculated using total surface area of Hexakis Octahedron. Medium Edge of Hexakis Octahedron is denoted by l_e(Medium) symbol.

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

FAQs on Medium Edge of Hexakis Octahedron given Total Surface Area

What is the formula to find Medium Edge of Hexakis Octahedron given Total Surface Area?

The formula of Medium Edge of Hexakis Octahedron given Total Surface Area is expressed as 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)))))). Here is an example- 16.36646 = (3/14)*(1+(2*sqrt(2)))*(sqrt((7*4800)/(3*sqrt(543+(176*sqrt(2)))))).

How to calculate Medium Edge of Hexakis Octahedron given Total Surface Area?

With Total Surface Area of Hexakis Octahedron (TSA) we can find Medium Edge of Hexakis Octahedron given Total Surface Area using the formula - 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)))))). 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 Total Surface Area be negative?

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

Which unit is used to measure Medium Edge of Hexakis Octahedron given Total Surface Area?

Medium Edge of Hexakis Octahedron given Total Surface Area 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 Total Surface Area can be measured.

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