Surface to Volume Ratio of Stellated Octahedron given Volume Calculator

✖Volume of Stellated Octahedron is the total quantity of three dimensional space enclosed by the surface of the Stellated Octahedron.ⓘ Volume of Stellated Octahedron [V]

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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 Volume [R_A/V]

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Formula

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Surface to Volume Ratio of Stellated Octahedron given Volume

Formula

`"R"_{"A/V"} = ((3/2)*sqrt(3))/((1/8)*sqrt(2))*((sqrt(2)/(8*"V"))^(1/3))`

Example

`"1.460868m⁻¹"=((3/2)*sqrt(3))/((1/8)*sqrt(2))*((sqrt(2)/(8*"180m³"))^(1/3))`

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Surface to Volume Ratio of Stellated Octahedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Stellated Octahedron = ((3/2)*sqrt(3))/((1/8)*sqrt(2))*((sqrt(2)/(8*Volume of Stellated Octahedron))^(1/3))
R_A/V = ((3/2)*sqrt(3))/((1/8)*sqrt(2))*((sqrt(2)/(8*V))^(1/3))
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.
Volume of Stellated Octahedron - (Measured in Cubic Meter) - Volume of Stellated Octahedron is the total quantity of three dimensional space enclosed by the surface of the Stellated Octahedron.

STEP 1: Convert Input(s) to Base Unit

Volume of Stellated Octahedron: 180 Cubic Meter --> 180 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = ((3/2)*sqrt(3))/((1/8)*sqrt(2))*((sqrt(2)/(8*V))^(1/3)) --> ((3/2)*sqrt(3))/((1/8)*sqrt(2))*((sqrt(2)/(8*180))^(1/3))

Evaluating ... ...

R_A/V = 1.46086822906587

STEP 3: Convert Result to Output's Unit

1.46086822906587 1 per Meter --> No Conversion Required

FINAL ANSWER

1.46086822906587 ≈ 1.460868 1 per Meter <-- Surface to Volume Ratio of Stellated Octahedron

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

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 Volume Formula

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

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 Volume?

Surface to Volume Ratio of Stellated Octahedron given Volume calculator uses Surface to Volume Ratio of Stellated Octahedron = ((3/2)*sqrt(3))/((1/8)*sqrt(2))*((sqrt(2)/(8*Volume of Stellated Octahedron))^(1/3)) to calculate the Surface to Volume Ratio of Stellated Octahedron, Surface to Volume Ratio of Stellated Octahedron given Volume 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 volume. 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 Volume using this online calculator? To use this online calculator for Surface to Volume Ratio of Stellated Octahedron given Volume, enter Volume of Stellated Octahedron (V) and hit the calculate button. Here is how the Surface to Volume Ratio of Stellated Octahedron given Volume calculation can be explained with given input values -> 1.460868 = ((3/2)*sqrt(3))/((1/8)*sqrt(2))*((sqrt(2)/(8*180))^(1/3)).

FAQ

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

Surface to Volume Ratio of Stellated Octahedron given Volume 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 volume and is represented as R_A/V = ((3/2)*sqrt(3))/((1/8)*sqrt(2))*((sqrt(2)/(8*V))^(1/3)) or Surface to Volume Ratio of Stellated Octahedron = ((3/2)*sqrt(3))/((1/8)*sqrt(2))*((sqrt(2)/(8*Volume of Stellated Octahedron))^(1/3)). Volume of Stellated Octahedron is the total quantity of three dimensional space enclosed by the surface of the Stellated Octahedron.

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

Surface to Volume Ratio of Stellated Octahedron given Volume 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 volume is calculated using Surface to Volume Ratio of Stellated Octahedron = ((3/2)*sqrt(3))/((1/8)*sqrt(2))*((sqrt(2)/(8*Volume of Stellated Octahedron))^(1/3)). To calculate Surface to Volume Ratio of Stellated Octahedron given Volume, you need Volume of Stellated Octahedron (V). With our tool, you need to enter the respective value for Volume 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 Volume 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))*(1/(4*Circumsphere Radius of Stellated Octahedron/sqrt(6)))
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)))

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