Volume of Stellated Octahedron given Surface to Volume Ratio Calculator

✖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 [R_A/V]

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

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Volume of Stellated Octahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Stellated Octahedron: 1.4 1 per Meter --> 1.4 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (sqrt(2)/8)*((((3/2)*sqrt(3))/((1/8)*sqrt(2)*R_A/V))^3) --> (sqrt(2)/8)*((((3/2)*sqrt(3))/((1/8)*sqrt(2)*1.4))^3)

Evaluating ... ...

V = 204.513287774168

STEP 3: Convert Result to Output's Unit

204.513287774168 Cubic Meter --> No Conversion Required

FINAL ANSWER

204.513287774168 ≈ 204.5133 Cubic Meter <-- Volume of Stellated Octahedron

(Calculation completed in 00.004 seconds)

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< Volume of Stellated Octahedron Calculators

Volume of Stellated Octahedron given Total Surface Area

LaTeX Go Volume of Stellated Octahedron = (sqrt(2)/8)*((2*Total Surface Area of Stellated Octahedron)/(3*sqrt(3)))^(3/2)

Volume of Stellated Octahedron given Circumsphere Radius

LaTeX Go Volume of Stellated Octahedron = (sqrt(2)/8)*((4*Circumsphere Radius of Stellated Octahedron/sqrt(6))^3)

Volume of Stellated Octahedron given Edge Length of Peaks

LaTeX Go Volume of Stellated Octahedron = (sqrt(2)/8)*(2*Edge Length of Peaks of Stellated Octahedron)^3

Volume of Stellated Octahedron

LaTeX Go Volume of Stellated Octahedron = (sqrt(2)/8)*Edge Length of Stellated Octahedron^3

Volume of Stellated Octahedron given Surface to Volume Ratio Formula

LaTeX Go

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

Volume of Stellated Octahedron given Surface to Volume Ratio calculator uses Volume of Stellated Octahedron = (sqrt(2)/8)*((((3/2)*sqrt(3))/((1/8)*sqrt(2)*Surface to Volume Ratio of Stellated Octahedron))^3) to calculate the Volume of Stellated Octahedron, Volume of Stellated Octahedron given Surface to Volume Ratio formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Stellated Octahedron, calculated using its surface to volume ratio. Volume of Stellated Octahedron is denoted by V symbol.

How to calculate Volume of Stellated Octahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Volume of Stellated Octahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Stellated Octahedron (R_A/V) and hit the calculate button. Here is how the Volume of Stellated Octahedron given Surface to Volume Ratio calculation can be explained with given input values -> 204.5133 = (sqrt(2)/8)*((((3/2)*sqrt(3))/((1/8)*sqrt(2)*1.4))^3).

FAQ

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

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

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

Volume of Stellated Octahedron given Surface to Volume Ratio formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Stellated Octahedron, calculated using its surface to volume ratio is calculated using Volume of Stellated Octahedron = (sqrt(2)/8)*((((3/2)*sqrt(3))/((1/8)*sqrt(2)*Surface to Volume Ratio of Stellated Octahedron))^3). To calculate Volume of Stellated Octahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Stellated Octahedron (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio 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 Volume of Stellated Octahedron?

In this formula, Volume of Stellated Octahedron uses Surface to Volume Ratio of Stellated Octahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Volume of Stellated Octahedron = (sqrt(2)/8)*Edge Length of Stellated Octahedron^3
Volume of Stellated Octahedron = (sqrt(2)/8)*(2*Edge Length of Peaks of Stellated Octahedron)^3
Volume of Stellated Octahedron = (sqrt(2)/8)*((4*Circumsphere Radius of Stellated Octahedron/sqrt(6))^3)

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