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Surface to Volume Ratio of Triakis Octahedron given Insphere Radius Formula

GoSurface to Volume Ratio of Triakis Octahedron given Midsphere Radius Formula

GoSurface to Volume Ratio of Triakis Octahedron given Volume Formula

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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. Check FAQs

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

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

Surface to Volume Ratio of Triakis Octahedron given Insphere Radius Example

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

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

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

0.75 = \frac{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}}{(2 - \sqrt{2}) \cdot (\frac{4}{\sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}})}

0.75m⁻¹ = \frac{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}}{(2 - \sqrt{2}) \cdot (\frac{4m}{\sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}})}

0.75 = \frac{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}}{(2 - \sqrt{2}) \cdot (\frac{4}{\sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}})}

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Surface to Volume Ratio of Triakis Octahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R A/V = \frac{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}}{(2 - \sqrt{2}) \cdot (\frac{4m}{\sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}})}

Next Step Prepare to Evaluate

∴

R A/V = \frac{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}}{(2 - \sqrt{2}) \cdot (\frac{4}{\sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}})}

Next Step Evaluate

∴

R A/V = 0.749999999999998m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.75m⁻¹

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

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Functions

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

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

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 Surface to Volume Ratio of Triakis Octahedron

Go Surface to Volume Ratio of Triakis Octahedron given Midsphere Radius

R A/V = \frac{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}}{(2 - \sqrt{2}) \cdot 2 \cdot r m}

Go Surface to Volume Ratio of Triakis Octahedron given Volume

R A/V = \frac{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}}{(2 - \sqrt{2}) \cdot {(\frac{V}{2 - \sqrt{2}})}^{\frac{1}{3}}}

Go Surface to Volume Ratio of Triakis Octahedron given Total Surface Area

R A/V = \frac{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}}{(2 - \sqrt{2}) \cdot \sqrt{\frac{TSA}{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}}}}

Go Surface to Volume Ratio of Triakis Octahedron given Pyramidal Edge Length

R A/V = \frac{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}}{l e(Pyramid)}

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

Surface to Volume Ratio of Triakis Octahedron given Insphere Radius evaluator uses Surface to Volume Ratio of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*(Insphere Radius of Triakis Octahedron/(sqrt((5+(2*sqrt(2)))/34)))) to evaluate the Surface to Volume Ratio of Triakis Octahedron, Surface to Volume Ratio of Triakis Octahedron given Insphere Radius formula is defined as the numerical ratio of the total surface area of the Triakis Octahedron to the volume of the Triakis Octahedron, calculated using insphere radius of Triakis Octahedron. Surface to Volume Ratio of Triakis Octahedron is denoted by R_A/V symbol.

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

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

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

The formula of Surface to Volume Ratio of Triakis Octahedron given Insphere Radius is expressed as Surface to Volume Ratio of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*(Insphere Radius of Triakis Octahedron/(sqrt((5+(2*sqrt(2)))/34)))). Here is an example- 0.75 = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*(4/(sqrt((5+(2*sqrt(2)))/34)))).

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

With Insphere Radius of Triakis Octahedron (r_i) we can find Surface to Volume Ratio of Triakis Octahedron given Insphere Radius using the formula - Surface to Volume Ratio of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*(Insphere Radius 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 Surface to Volume Ratio of Triakis Octahedron?

Here are the different ways to Calculate Surface to Volume Ratio of Triakis Octahedron-

Surface to Volume Ratio of Triakis Octahedron=(6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*2*Midsphere Radius of Triakis Octahedron)
Surface to Volume Ratio of Triakis Octahedron=(6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*(Volume of Triakis Octahedron/(2-sqrt(2)))^(1/3))
Surface to Volume Ratio of Triakis Octahedron=(6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*sqrt(Total Surface Area of Triakis Octahedron/(6*sqrt(23-(16*sqrt(2))))))

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

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

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

Surface to Volume Ratio of Triakis Octahedron given Insphere Radius is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Triakis Octahedron given Insphere Radius can be measured.

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