FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Short Edge of Hexakis Octahedron given Insphere Radius Formula

GoShort Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge Formula

GoShort Edge of Hexakis Octahedron Formula

Fx Copy

LaTeX Copy

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{2 \cdot r i}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}) \cdot \sqrt{\frac{30 - (3 \cdot \sqrt{2})}{60 + (6 \cdot \sqrt{2})}}

l_e(Short) - Short Edge of Hexakis Octahedron?r_i - Insphere Radius of Hexakis Octahedron?

Short Edge of Hexakis Octahedron given Insphere Radius Example

With values

With units

Only example

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

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

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

11.8117 = (\frac{2 \cdot 18}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}) \cdot \sqrt{\frac{30 - (3 \cdot \sqrt{2})}{60 + (6 \cdot \sqrt{2})}}

11.8117m = (\frac{2 \cdot 18m}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}) \cdot \sqrt{\frac{30 - (3 \cdot \sqrt{2})}{60 + (6 \cdot \sqrt{2})}}

11.8117 = (\frac{2 \cdot 18}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}) \cdot \sqrt{\frac{30 - (3 \cdot \sqrt{2})}{60 + (6 \cdot \sqrt{2})}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Short Edge of Hexakis Octahedron given Insphere Radius

Short Edge of Hexakis Octahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

l e(Short) = (\frac{2 \cdot r i}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}) \cdot \sqrt{\frac{30 - (3 \cdot \sqrt{2})}{60 + (6 \cdot \sqrt{2})}}

Next Step Substitute values of Variables

∴

l e(Short) = (\frac{2 \cdot 18m}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}) \cdot \sqrt{\frac{30 - (3 \cdot \sqrt{2})}{60 + (6 \cdot \sqrt{2})}}

Next Step Prepare to Evaluate

∴

l e(Short) = (\frac{2 \cdot 18}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}) \cdot \sqrt{\frac{30 - (3 \cdot \sqrt{2})}{60 + (6 \cdot \sqrt{2})}}

Next Step Evaluate

∴

l e(Short) = 11.8117355168701m

LAST Step Rounding Answer

∴

l e(Short) = 11.8117m

Short Edge of Hexakis Octahedron given Insphere Radius 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

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 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 Total Surface Area

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

How to Evaluate Short Edge of Hexakis Octahedron given Insphere Radius?

Short Edge of Hexakis Octahedron given Insphere Radius evaluator uses Short Edge of Hexakis Octahedron = ((2*Insphere Radius of Hexakis Octahedron)/(sqrt((402+(195*sqrt(2)))/194)))*sqrt((30-(3*sqrt(2)))/(60+(6*sqrt(2)))) to evaluate the Short Edge of Hexakis Octahedron, Short Edge of Hexakis Octahedron given Insphere Radius formula is defined as the length of the shortest edge of any of the congruent triangular faces of the Hexakis Octahedron, calculated using insphere radius of Hexakis Octahedron. Short Edge of Hexakis Octahedron is denoted by l_e(Short) symbol.

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

FAQs on Short Edge of Hexakis Octahedron given Insphere Radius

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

The formula of Short Edge of Hexakis Octahedron given Insphere Radius is expressed as Short Edge of Hexakis Octahedron = ((2*Insphere Radius of Hexakis Octahedron)/(sqrt((402+(195*sqrt(2)))/194)))*sqrt((30-(3*sqrt(2)))/(60+(6*sqrt(2)))). Here is an example- 11.81174 = ((2*18)/(sqrt((402+(195*sqrt(2)))/194)))*sqrt((30-(3*sqrt(2)))/(60+(6*sqrt(2)))).

How to calculate Short Edge of Hexakis Octahedron given Insphere Radius?

With Insphere Radius of Hexakis Octahedron (r_i) we can find Short Edge of Hexakis Octahedron given Insphere Radius using the formula - Short Edge of Hexakis Octahedron = ((2*Insphere Radius of Hexakis Octahedron)/(sqrt((402+(195*sqrt(2)))/194)))*sqrt((30-(3*sqrt(2)))/(60+(6*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 Insphere Radius be negative?

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

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

Short 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 Short Edge of Hexakis Octahedron given Insphere Radius can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit