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Insphere Radius of Triakis Octahedron given Surface to Volume Ratio Formula

GoInsphere Radius of Triakis Octahedron Formula

GoInsphere Radius of Triakis Octahedron given Pyramidal Edge Length Formula

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Insphere Radius of Triakis Octahedron is the radius of the sphere that is contained by the Triakis Octahedron in such a way that all the faces are touching the sphere. Check FAQs

r i = \frac{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}}{(2 - \sqrt{2}) \cdot R A/V} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}

r_i - Insphere Radius of Triakis Octahedron?R_A/V - Surface to Volume Ratio of Triakis Octahedron?

Insphere Radius of Triakis Octahedron given Surface to Volume Ratio Example

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Here is how the Insphere Radius of Triakis Octahedron given Surface to Volume Ratio equation looks like with Values.

Here is how the Insphere Radius of Triakis Octahedron given Surface to Volume Ratio equation looks like with Units.

Here is how the Insphere Radius of Triakis Octahedron given Surface to Volume Ratio equation looks like.

5 = \frac{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}}{(2 - \sqrt{2}) \cdot 0.6} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}

5m = \frac{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}}{(2 - \sqrt{2}) \cdot 0.6m⁻¹} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}

5 = \frac{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}}{(2 - \sqrt{2}) \cdot 0.6} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}

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Insphere Radius of Triakis Octahedron given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Insphere Radius of Triakis Octahedron given Surface to Volume Ratio?

FIRST Step Consider the formula

r i = \frac{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}}{(2 - \sqrt{2}) \cdot R A/V} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}

Next Step Substitute values of Variables

∴

r i = \frac{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}}{(2 - \sqrt{2}) \cdot 0.6m⁻¹} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}

Next Step Prepare to Evaluate

∴

r i = \frac{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}}{(2 - \sqrt{2}) \cdot 0.6} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}

Next Step Evaluate

∴

r i = 4.99999999999999m

LAST Step Rounding Answer

∴

r i = 5m

Insphere Radius of Triakis Octahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Insphere Radius of Triakis Octahedron

Insphere Radius of Triakis Octahedron is the radius of the sphere that is contained by the Triakis Octahedron in such a way that all the faces are touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Triakis Octahedron

Surface to Volume Ratio of Triakis Octahedron

Surface to Volume Ratio of Triakis Octahedron is the numerical ratio of the total surface area of the Triakis Octahedron to the volume of the Triakis Octahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Triakis 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 Insphere Radius of Triakis Octahedron

Go Insphere Radius of Triakis Octahedron

r i = l e(Octahedron) \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}

Go Insphere Radius of Triakis Octahedron given Pyramidal Edge Length

r i = \frac{l e(Pyramid)}{2 - \sqrt{2}} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}

Go Insphere Radius of Triakis Octahedron given Total Surface Area

r i = \sqrt{\frac{TSA}{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}}} \cdot (\sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}})

Go Insphere Radius of Triakis Octahedron given Volume

r i = {(\frac{V}{2 - \sqrt{2}})}^{\frac{1}{3}} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}

How to Evaluate Insphere Radius of Triakis Octahedron given Surface to Volume Ratio?

Insphere Radius of Triakis Octahedron given Surface to Volume Ratio evaluator uses Insphere Radius of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*Surface to Volume Ratio of Triakis Octahedron)*sqrt((5+(2*sqrt(2)))/34) to evaluate the Insphere Radius of Triakis Octahedron, Insphere Radius of Triakis Octahedron given Surface to Volume Ratio formula is defined as the radius of the sphere that is contained by the Triakis Octahedron in such a way that all the faces are touching the sphere, calculated using the surface to volume ratio of the Triakis Octahedron. Insphere Radius of Triakis Octahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Triakis Octahedron given Surface to Volume Ratio

What is the formula to find Insphere Radius of Triakis Octahedron given Surface to Volume Ratio?

The formula of Insphere Radius of Triakis Octahedron given Surface to Volume Ratio is expressed as Insphere Radius of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*Surface to Volume Ratio of Triakis Octahedron)*sqrt((5+(2*sqrt(2)))/34). Here is an example- 5 = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*0.6)*sqrt((5+(2*sqrt(2)))/34).

How to calculate Insphere Radius of Triakis Octahedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Triakis Octahedron (R_A/V) we can find Insphere Radius of Triakis Octahedron given Surface to Volume Ratio using the formula - Insphere Radius of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*Surface to Volume Ratio of Triakis Octahedron)*sqrt((5+(2*sqrt(2)))/34). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Insphere Radius of Triakis Octahedron?

Here are the different ways to Calculate Insphere Radius of Triakis Octahedron-

Insphere Radius of Triakis Octahedron=Octahedral Edge Length of Triakis Octahedron*sqrt((5+(2*sqrt(2)))/34)
Insphere Radius of Triakis Octahedron=Pyramidal Edge Length of Triakis Octahedron/(2-sqrt(2))*sqrt((5+(2*sqrt(2)))/34)
Insphere Radius of Triakis Octahedron=sqrt(Total Surface Area of Triakis Octahedron/(6*sqrt(23-(16*sqrt(2)))))*(sqrt((5+(2*sqrt(2)))/34))

Can the Insphere Radius of Triakis Octahedron given Surface to Volume Ratio be negative?

No, the Insphere Radius of Triakis Octahedron given Surface to Volume Ratio, measured in Length cannot be negative.

Which unit is used to measure Insphere Radius of Triakis Octahedron given Surface to Volume Ratio?

Insphere Radius of Triakis 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 Insphere Radius of Triakis Octahedron given Surface to Volume Ratio can be measured.

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