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

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

Short Edge of Hexakis Octahedron given Total Surface Area Example

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

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

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

12.2347 = (\frac{10 - \sqrt{2}}{14}) \cdot (\sqrt{\frac{7 \cdot 4800}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}})

12.2347m = (\frac{10 - \sqrt{2}}{14}) \cdot (\sqrt{\frac{7 \cdot 4800m²}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}})

12.2347 = (\frac{10 - \sqrt{2}}{14}) \cdot (\sqrt{\frac{7 \cdot 4800}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}})

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Short Edge of Hexakis Octahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

l e(Short) = (\frac{10 - \sqrt{2}}{14}) \cdot (\sqrt{\frac{7 \cdot TSA}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}})

Next Step Substitute values of Variables

∴

l e(Short) = (\frac{10 - \sqrt{2}}{14}) \cdot (\sqrt{\frac{7 \cdot 4800m²}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}})

Next Step Prepare to Evaluate

∴

l e(Short) = (\frac{10 - \sqrt{2}}{14}) \cdot (\sqrt{\frac{7 \cdot 4800}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}})

Next Step Evaluate

∴

l e(Short) = 12.2346980071292m

LAST Step Rounding Answer

∴

l e(Short) = 12.2347m

Short Edge of Hexakis Octahedron given Total Surface Area 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

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 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 Volume

l e(Short) = (\frac{10 - \sqrt{2}}{14}) \cdot ({(\frac{28 \cdot V}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{1}{3}})

How to Evaluate Short Edge of Hexakis Octahedron given Total Surface Area?

Short Edge of Hexakis Octahedron given Total Surface Area evaluator uses Short Edge of Hexakis Octahedron = ((10-sqrt(2))/14)*(sqrt((7*Total Surface Area of Hexakis Octahedron)/(3*sqrt(543+(176*sqrt(2)))))) to evaluate the Short Edge of Hexakis Octahedron, The Short Edge of Hexakis Octahedron given Total Surface Area formula is defined as the length of the shortest edge of any of the congruent triangular faces of the Hexakis Octahedron, calculated using total surface area of Hexakis Octahedron. Short Edge of Hexakis Octahedron is denoted by l_e(Short) symbol.

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

FAQs on Short Edge of Hexakis Octahedron given Total Surface Area

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

The formula of Short Edge of Hexakis Octahedron given Total Surface Area is expressed as Short Edge of Hexakis Octahedron = ((10-sqrt(2))/14)*(sqrt((7*Total Surface Area of Hexakis Octahedron)/(3*sqrt(543+(176*sqrt(2)))))). Here is an example- 12.2347 = ((10-sqrt(2))/14)*(sqrt((7*4800)/(3*sqrt(543+(176*sqrt(2)))))).

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

With Total Surface Area of Hexakis Octahedron (TSA) we can find Short Edge of Hexakis Octahedron given Total Surface Area using the formula - Short Edge of Hexakis Octahedron = ((10-sqrt(2))/14)*(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 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 Total Surface Area be negative?

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

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

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

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