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Truncated Cuboctahedron Edge of Hexakis Octahedron given Insphere Radius 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{14 \cdot r i}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}} \cdot 2 \cdot (\sqrt{60 + (6 \cdot \sqrt{2})})}

l_{e(Truncated Cuboctahedron)} - Truncated Cuboctahedron Edge of Hexakis Octahedron?r_i - Insphere Radius of Hexakis Octahedron?

Truncated Cuboctahedron Edge of Hexakis Octahedron given Insphere Radius Example

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

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

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

8.1458 = \frac{14 \cdot 18}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}} \cdot 2 \cdot (\sqrt{60 + (6 \cdot \sqrt{2})})}

8.1458m = \frac{14 \cdot 18m}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}} \cdot 2 \cdot (\sqrt{60 + (6 \cdot \sqrt{2})})}

8.1458 = \frac{14 \cdot 18}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}} \cdot 2 \cdot (\sqrt{60 + (6 \cdot \sqrt{2})})}

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Truncated Cuboctahedron Edge of Hexakis Octahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

l e(Truncated Cuboctahedron) = \frac{14 \cdot r i}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}} \cdot 2 \cdot (\sqrt{60 + (6 \cdot \sqrt{2})})}

Next Step Substitute values of Variables

∴

l e(Truncated Cuboctahedron) = \frac{14 \cdot 18m}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}} \cdot 2 \cdot (\sqrt{60 + (6 \cdot \sqrt{2})})}

Next Step Prepare to Evaluate

∴

l e(Truncated Cuboctahedron) = \frac{14 \cdot 18}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}} \cdot 2 \cdot (\sqrt{60 + (6 \cdot \sqrt{2})})}

Next Step Evaluate

∴

l e(Truncated Cuboctahedron) = 8.14575024281216m

LAST Step Rounding Answer

∴

l e(Truncated Cuboctahedron) = 8.1458m

Truncated Cuboctahedron Edge of Hexakis Octahedron given Insphere Radius 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

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 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 Insphere Radius?

Truncated Cuboctahedron Edge of Hexakis Octahedron given Insphere Radius evaluator uses Truncated Cuboctahedron Edge of Hexakis Octahedron = (14*Insphere Radius of Hexakis Octahedron)/(sqrt((402+(195*sqrt(2)))/194)*2*(sqrt(60+(6*sqrt(2))))) to evaluate the Truncated Cuboctahedron Edge of Hexakis Octahedron, Truncated Cuboctahedron Edge of Hexakis Octahedron given Insphere Radius 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 the insphere radius 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 Insphere Radius using this online evaluator? To use this online evaluator for Truncated Cuboctahedron Edge of Hexakis Octahedron given Insphere Radius, enter Insphere Radius of Hexakis Octahedron (r_i) and hit the calculate button.

FAQs on Truncated Cuboctahedron Edge of Hexakis Octahedron given Insphere Radius

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

The formula of Truncated Cuboctahedron Edge of Hexakis Octahedron given Insphere Radius is expressed as Truncated Cuboctahedron Edge of Hexakis Octahedron = (14*Insphere Radius of Hexakis Octahedron)/(sqrt((402+(195*sqrt(2)))/194)*2*(sqrt(60+(6*sqrt(2))))). Here is an example- 8.14575 = (14*18)/(sqrt((402+(195*sqrt(2)))/194)*2*(sqrt(60+(6*sqrt(2))))).

How to calculate Truncated Cuboctahedron Edge of Hexakis Octahedron given Insphere Radius?

With Insphere Radius of Hexakis Octahedron (r_i) we can find Truncated Cuboctahedron Edge of Hexakis Octahedron given Insphere Radius using the formula - Truncated Cuboctahedron Edge of Hexakis Octahedron = (14*Insphere Radius of Hexakis Octahedron)/(sqrt((402+(195*sqrt(2)))/194)*2*(sqrt(60+(6*sqrt(2))))). This formula also uses Square Root (sqrt) 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 Insphere Radius be negative?

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

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

Truncated Cuboctahedron 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 Truncated Cuboctahedron Edge of Hexakis Octahedron given Insphere Radius can be measured.

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