Surface to Volume Ratio of Stellated Octahedron given Circumsphere Radius Calculator

✖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.ⓘ Circumsphere Radius of Stellated Octahedron [r_c]

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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.ⓘ Surface to Volume Ratio of Stellated Octahedron given Circumsphere Radius [R_A/V]

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Formula

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Surface to Volume Ratio of Stellated Octahedron given Circumsphere Radius

Formula

`"R"_{"A/V"} = ((3/2)*sqrt(3))/((1/8)*sqrt(2))*(1/(4*"r"_{"c"}/sqrt(6)))`

Example

`"1.5m⁻¹"=((3/2)*sqrt(3))/((1/8)*sqrt(2))*(1/(4*"6m"/sqrt(6)))`

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Surface to Volume Ratio of Stellated Octahedron given Circumsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Stellated Octahedron = ((3/2)*sqrt(3))/((1/8)*sqrt(2))*(1/(4*Circumsphere Radius of Stellated Octahedron/sqrt(6)))
R_A/V = ((3/2)*sqrt(3))/((1/8)*sqrt(2))*(1/(4*r_c/sqrt(6)))
This formula uses 1 Functions, 2 Variables

Functions Used

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., sqrt(Number)

Variables Used

Surface to Volume Ratio of Stellated Octahedron - (Measured in 1 per Meter) - 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.
Circumsphere Radius of Stellated Octahedron - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Circumsphere Radius of Stellated Octahedron: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = ((3/2)*sqrt(3))/((1/8)*sqrt(2))*(1/(4*r_c/sqrt(6))) --> ((3/2)*sqrt(3))/((1/8)*sqrt(2))*(1/(4*6/sqrt(6)))

Evaluating ... ...

R_A/V = 1.5

STEP 3: Convert Result to Output's Unit

1.5 1 per Meter --> No Conversion Required

FINAL ANSWER

1.5 1 per Meter <-- Surface to Volume Ratio of Stellated Octahedron

(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli

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< 5 Surface to Volume Ratio of Stellated Octahedron Calculators

Surface to Volume Ratio of Stellated Octahedron given Total Surface Area

Go 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)))

Surface to Volume Ratio of Stellated Octahedron given Circumsphere Radius

Go Surface to Volume Ratio of Stellated Octahedron = ((3/2)*sqrt(3))/((1/8)*sqrt(2))*(1/(4*Circumsphere Radius of Stellated Octahedron/sqrt(6)))

Surface to Volume Ratio of Stellated Octahedron given Volume

Go Surface to Volume Ratio of Stellated Octahedron = ((3/2)*sqrt(3))/((1/8)*sqrt(2))*((sqrt(2)/(8*Volume of Stellated Octahedron))^(1/3))

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

Go 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

Go 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 given Circumsphere Radius Formula

What is Stellated Octahedron?

The Stellated Octahedron is the only stellation of the octahedron. It is also called the stella octangula, a name given to it by Johannes Kepler in 1609, though it was known to earlier geometers.
It is the simplest of five regular polyhedral compounds, and the only regular compound of two tetrahedra. It is also the least dense of the regular polyhedral compounds, having a density of 2.

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

Surface to Volume Ratio of Stellated Octahedron given Circumsphere Radius calculator 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 calculate 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 calculate Surface to Volume Ratio of Stellated Octahedron given Circumsphere Radius using this online calculator? To use this online calculator for Surface to Volume Ratio of Stellated Octahedron given Circumsphere Radius, enter Circumsphere Radius of Stellated Octahedron (r_c) and hit the calculate button. Here is how the Surface to Volume Ratio of Stellated Octahedron given Circumsphere Radius calculation can be explained with given input values -> 1.5 = ((3/2)*sqrt(3))/((1/8)*sqrt(2))*(1/(4*6/sqrt(6))).

FAQ

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

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 and is represented as R_A/V = ((3/2)*sqrt(3))/((1/8)*sqrt(2))*(1/(4*r_c/sqrt(6))) or Surface to Volume Ratio of Stellated Octahedron = ((3/2)*sqrt(3))/((1/8)*sqrt(2))*(1/(4*Circumsphere Radius of Stellated Octahedron/sqrt(6))). 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.

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

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 is calculated using 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 calculate Surface to Volume Ratio of Stellated Octahedron given Circumsphere Radius, you need Circumsphere Radius of Stellated Octahedron (r_c). With our tool, you need to enter the respective value for Circumsphere Radius of Stellated Octahedron and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Surface to Volume Ratio of Stellated Octahedron?

In this formula, Surface to Volume Ratio of Stellated Octahedron uses Circumsphere Radius of Stellated Octahedron. We can use 4 other way(s) to calculate the same, which is/are as follows -

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)))
Surface to Volume Ratio of Stellated Octahedron = ((3/2)*sqrt(3))/((1/8)*sqrt(2))*((sqrt(2)/(8*Volume of Stellated Octahedron))^(1/3))

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