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Surface to Volume Ratio of Stellated Octahedron given Circumsphere Radius Formula

GoSurface to Volume Ratio of Stellated Octahedron Formula

GoSurface to Volume Ratio of Stellated Octahedron given Edge Length of Peaks Formula

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Surface to Volume Ratio of Stellated Octahedron is the numerical ratio of the total surface area of a Stellated Octahedron to the volume of the Stellated Octahedron. Check FAQs

R A/V = \frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2}} \cdot (\frac{1}{4 \cdot \frac{r c}{\sqrt{6}}})

R_A/V - Surface to Volume Ratio of Stellated Octahedron?r_c - Circumsphere Radius of Stellated Octahedron?

Surface to Volume Ratio of Stellated Octahedron given Circumsphere Radius Example

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

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

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

1.5 = \frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2}} \cdot (\frac{1}{4 \cdot \frac{6}{\sqrt{6}}})

1.5m⁻¹ = \frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2}} \cdot (\frac{1}{4 \cdot \frac{6m}{\sqrt{6}}})

1.5 = \frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2}} \cdot (\frac{1}{4 \cdot \frac{6}{\sqrt{6}}})

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Surface to Volume Ratio of Stellated Octahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

R A/V = \frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2}} \cdot (\frac{1}{4 \cdot \frac{r c}{\sqrt{6}}})

Next Step Substitute values of Variables

∴

R A/V = \frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2}} \cdot (\frac{1}{4 \cdot \frac{6m}{\sqrt{6}}})

Next Step Prepare to Evaluate

∴

R A/V = \frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2}} \cdot (\frac{1}{4 \cdot \frac{6}{\sqrt{6}}})

LAST Step Evaluate

∴

R A/V = 1.5m⁻¹

Surface to Volume Ratio of Stellated Octahedron given Circumsphere Radius Formula Elements

Variables

Functions

Surface to Volume Ratio of Stellated Octahedron

Surface to Volume Ratio of Stellated Octahedron is the numerical ratio of the total surface area of a Stellated Octahedron to the volume of the Stellated 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 Stellated Octahedron

Circumsphere Radius of Stellated Octahedron

Circumsphere Radius of Stellated Octahedron is the radius of the sphere that contains the Stellated Octahedron in such a way that all the vertices are lying on sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere Radius of Stellated 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 Stellated Octahedron

Go Surface to Volume Ratio of Stellated Octahedron

R A/V = \frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2} \cdot l e}

Go Surface to Volume Ratio of Stellated Octahedron given Edge Length of Peaks

R A/V = \frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2}} \cdot (\frac{1}{2 \cdot l e(Peaks)})

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

R A/V = \frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2}} \cdot (\sqrt{\frac{3 \cdot \sqrt{3}}{2 \cdot TSA}})

Go Surface to Volume Ratio of Stellated Octahedron given Volume

R A/V = \frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2}} \cdot ({(\frac{\sqrt{2}}{8 \cdot V})}^{\frac{1}{3}})

How to Evaluate Surface to Volume Ratio of Stellated Octahedron given Circumsphere Radius?

Surface to Volume Ratio of Stellated Octahedron given Circumsphere Radius evaluator uses Surface to Volume Ratio of Stellated Octahedron = ((3/2)*sqrt(3))/((1/8)*sqrt(2))*(1/(4*Circumsphere Radius of Stellated Octahedron/sqrt(6))) to evaluate the Surface to Volume Ratio of Stellated Octahedron, Surface to Volume Ratio of Stellated Octahedron given Circumsphere Radius formula is defined as the numerical ratio of the total surface area of a Stellated Octahedron to the volume of the Stellated Octahedron, calculated using its circumsphere radius. Surface to Volume Ratio of Stellated Octahedron is denoted by R_A/V symbol.

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

FAQs on Surface to Volume Ratio of Stellated Octahedron given Circumsphere Radius

What is the formula to find Surface to Volume Ratio of Stellated Octahedron given Circumsphere Radius?

The formula of Surface to Volume Ratio of Stellated Octahedron given Circumsphere Radius is expressed as Surface to Volume Ratio of Stellated Octahedron = ((3/2)*sqrt(3))/((1/8)*sqrt(2))*(1/(4*Circumsphere Radius of Stellated Octahedron/sqrt(6))). Here is an example- 1.5 = ((3/2)*sqrt(3))/((1/8)*sqrt(2))*(1/(4*6/sqrt(6))).

How to calculate Surface to Volume Ratio of Stellated Octahedron given Circumsphere Radius?

With Circumsphere Radius of Stellated Octahedron (r_c) we can find Surface to Volume Ratio of Stellated Octahedron given Circumsphere Radius using the formula - Surface to Volume Ratio of Stellated Octahedron = ((3/2)*sqrt(3))/((1/8)*sqrt(2))*(1/(4*Circumsphere Radius of Stellated Octahedron/sqrt(6))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Surface to Volume Ratio of Stellated Octahedron?

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

Surface to Volume Ratio of Stellated Octahedron=((3/2)*sqrt(3))/((1/8)*sqrt(2)*Edge Length of Stellated Octahedron)
Surface to Volume Ratio of Stellated Octahedron=((3/2)*sqrt(3))/((1/8)*sqrt(2))*(1/(2*Edge Length of Peaks of Stellated Octahedron))
Surface to Volume Ratio of Stellated Octahedron=((3/2)*sqrt(3))/((1/8)*sqrt(2))*(sqrt((3*sqrt(3))/(2*Total Surface Area of Stellated Octahedron)))

Can the Surface to Volume Ratio of Stellated Octahedron given Circumsphere Radius be negative?

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

Which unit is used to measure Surface to Volume Ratio of Stellated Octahedron given Circumsphere Radius?

Surface to Volume Ratio of Stellated Octahedron given Circumsphere 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 Stellated Octahedron given Circumsphere Radius can be measured.

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