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Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio Formula

GoTruncated Cuboctahedron Edge of Hexakis Octahedron Formula

GoTruncated Cuboctahedron Edge of Hexakis Octahedron given Medium Edge Formula

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Truncated Cuboctahedron Edge of Hexakis Octahedron is the length of the edges of a Hexakis Octahedron that is created by truncating the vertices of a Cuboctahedron. Check FAQs

l e(Truncated Cuboctahedron) = (\frac{12 \cdot (\sqrt{543 + (176 \cdot \sqrt{2})})}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}) \cdot (\frac{7}{2 \cdot (\sqrt{60 + (6 \cdot \sqrt{2})}) \cdot (R A/V)})

l_{e(Truncated Cuboctahedron)} - Truncated Cuboctahedron Edge of Hexakis Octahedron?R_A/V - Surface to Volume Ratio of Hexakis Octahedron?

Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio Example

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Here is how the Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio equation looks like with Values.

Here is how the Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio equation looks like with Units.

Here is how the Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio equation looks like.

6.7881 = (\frac{12 \cdot (\sqrt{543 + (176 \cdot \sqrt{2})})}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}) \cdot (\frac{7}{2 \cdot (\sqrt{60 + (6 \cdot \sqrt{2})}) \cdot (0.2)})

6.7881m = (\frac{12 \cdot (\sqrt{543 + (176 \cdot \sqrt{2})})}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}) \cdot (\frac{7}{2 \cdot (\sqrt{60 + (6 \cdot \sqrt{2})}) \cdot (0.2m⁻¹)})

6.7881 = (\frac{12 \cdot (\sqrt{543 + (176 \cdot \sqrt{2})})}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}) \cdot (\frac{7}{2 \cdot (\sqrt{60 + (6 \cdot \sqrt{2})}) \cdot (0.2)})

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Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio?

FIRST Step Consider the formula

l e(Truncated Cuboctahedron) = (\frac{12 \cdot (\sqrt{543 + (176 \cdot \sqrt{2})})}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}) \cdot (\frac{7}{2 \cdot (\sqrt{60 + (6 \cdot \sqrt{2})}) \cdot (R A/V)})

Next Step Substitute values of Variables

∴

l e(Truncated Cuboctahedron) = (\frac{12 \cdot (\sqrt{543 + (176 \cdot \sqrt{2})})}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}) \cdot (\frac{7}{2 \cdot (\sqrt{60 + (6 \cdot \sqrt{2})}) \cdot (0.2m⁻¹)})

Next Step Prepare to Evaluate

∴

l e(Truncated Cuboctahedron) = (\frac{12 \cdot (\sqrt{543 + (176 \cdot \sqrt{2})})}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}) \cdot (\frac{7}{2 \cdot (\sqrt{60 + (6 \cdot \sqrt{2})}) \cdot (0.2)})

Next Step Evaluate

∴

l e(Truncated Cuboctahedron) = 6.78812520234346m

LAST Step Rounding Answer

∴

l e(Truncated Cuboctahedron) = 6.7881m

Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Truncated Cuboctahedron Edge of Hexakis Octahedron

Truncated Cuboctahedron Edge of Hexakis Octahedron is the length of the edges of a Hexakis Octahedron that is created by truncating the vertices of a Cuboctahedron.

Symbol: l_{e(Truncated Cuboctahedron)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Truncated Cuboctahedron Edge of Hexakis Octahedron

Surface to Volume Ratio of Hexakis Octahedron

Surface to Volume Ratio of Hexakis Octahedron is what part of or fraction of total volume of Hexakis Octahedron is the total surface area.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio 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 Truncated Cuboctahedron Edge of Hexakis Octahedron

Go Truncated Cuboctahedron Edge of Hexakis Octahedron

l e(Truncated Cuboctahedron) = (\frac{7}{2}) \cdot (\frac{1}{\sqrt{60 + (6 \cdot \sqrt{2})}}) \cdot l e(Long)

Go Truncated Cuboctahedron Edge of Hexakis Octahedron given Medium Edge

l e(Truncated Cuboctahedron) = (\frac{7}{3}) \cdot (\frac{1}{\sqrt{12 + (6 \cdot \sqrt{2})}}) \cdot l e(Medium)

Go Truncated Cuboctahedron Edge of Hexakis Octahedron given Short Edge

l e(Truncated Cuboctahedron) = (\frac{7}{2}) \cdot (\frac{1}{\sqrt{30 - (3 \cdot \sqrt{2})}}) \cdot l e(Short)

Go Truncated Cuboctahedron Edge of Hexakis Octahedron given Total Surface Area

l e(Truncated Cuboctahedron) = \sqrt{\frac{7 \cdot 49 \cdot TSA}{12 \cdot (60 + (6 \cdot \sqrt{2})) \cdot (\sqrt{543 + (176 \cdot \sqrt{2})})}}

How to Evaluate Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio?

Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio evaluator uses Truncated Cuboctahedron Edge of Hexakis Octahedron = ((12*(sqrt(543+(176*sqrt(2)))))/(sqrt(6*(986+(607*sqrt(2))))))*(7/(2*(sqrt(60+(6*sqrt(2))))*(Surface to Volume Ratio of Hexakis Octahedron))) to evaluate the Truncated Cuboctahedron Edge of Hexakis Octahedron, The Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio formula is defined as the length of the edges of a Hexakis Octahedron that is created by truncating the vertices of a Cuboctahedron, calculated using surface to volume ratio of Hexakis Octahedron. Truncated Cuboctahedron Edge of Hexakis Octahedron is denoted by l_{e(Truncated Cuboctahedron)} symbol.

How to evaluate Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Hexakis Octahedron (R_A/V) and hit the calculate button.

FAQs on Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio

What is the formula to find Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio?

The formula of Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio is expressed as Truncated Cuboctahedron Edge of Hexakis Octahedron = ((12*(sqrt(543+(176*sqrt(2)))))/(sqrt(6*(986+(607*sqrt(2))))))*(7/(2*(sqrt(60+(6*sqrt(2))))*(Surface to Volume Ratio of Hexakis Octahedron))). Here is an example- 6.788125 = ((12*(sqrt(543+(176*sqrt(2)))))/(sqrt(6*(986+(607*sqrt(2))))))*(7/(2*(sqrt(60+(6*sqrt(2))))*(0.2))).

How to calculate Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Hexakis Octahedron (R_A/V) we can find Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio using the formula - Truncated Cuboctahedron Edge of Hexakis Octahedron = ((12*(sqrt(543+(176*sqrt(2)))))/(sqrt(6*(986+(607*sqrt(2))))))*(7/(2*(sqrt(60+(6*sqrt(2))))*(Surface to Volume Ratio of Hexakis Octahedron))). This formula also uses Square Root Function function(s).

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

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

Truncated Cuboctahedron Edge of Hexakis Octahedron=(7/2)*(1/sqrt(60+(6*sqrt(2))))*Long Edge of Hexakis Octahedron
Truncated Cuboctahedron Edge of Hexakis Octahedron=(7/3)*(1/sqrt(12+(6*sqrt(2))))*Medium Edge of Hexakis Octahedron
Truncated Cuboctahedron Edge of Hexakis Octahedron=(7/2)*(1/sqrt(30-(3*sqrt(2))))*Short Edge of Hexakis Octahedron

Can the Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio be negative?

No, the Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio, measured in Length cannot be negative.

Which unit is used to measure Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio?

Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio can be measured.

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