Edge Length of Peaks 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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✖Edge Length of Peaks of Stellated Octahedron is the length of any of the edges of the tetrahedral shaped peaks attached on the faces of octahedron to form the Stellated Octahedron.ⓘ Edge Length of Peaks of Stellated Octahedron given Surface to Volume Ratio [l_e(Peaks)]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Edge Length of Peaks of Stellated Octahedron - (Measured in Meter) - Edge Length of Peaks of Stellated Octahedron is the length of any of the edges of the tetrahedral shaped peaks attached on the faces of octahedron to form 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

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

Evaluating ... ...

l_e(Peaks) = 5.24890659167824

STEP 3: Convert Result to Output's Unit

5.24890659167824 Meter --> No Conversion Required

FINAL ANSWER

5.24890659167824 ≈ 5.248907 Meter <-- Edge Length of Peaks 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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Indian Institute of Information Technology (IIIT), Bhopal

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< Edge Length of Peaks of Stellated Octahedron Calculators

Edge Length of Peaks of Stellated Octahedron given Total Surface Area

LaTeX Go Edge Length of Peaks of Stellated Octahedron = (1/2)*(sqrt((2*Total Surface Area of Stellated Octahedron)/(3*sqrt(3))))

Edge Length of Peaks of Stellated Octahedron given Circumsphere Radius

LaTeX Go Edge Length of Peaks of Stellated Octahedron = (1/2)*(4*Circumsphere Radius of Stellated Octahedron/sqrt(6))

Edge Length of Peaks of Stellated Octahedron given Volume

LaTeX Go Edge Length of Peaks of Stellated Octahedron = (1/2)*((8*Volume of Stellated Octahedron/sqrt(2))^(1/3))

Edge Length of Peaks of Stellated Octahedron

LaTeX Go Edge Length of Peaks of Stellated Octahedron = Edge Length of Stellated Octahedron/2

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

LaTeX Go

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

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

Edge Length of Peaks of Stellated Octahedron given Surface to Volume Ratio calculator uses Edge Length of Peaks of Stellated Octahedron = (1/2)*(((3/2)*sqrt(3))/((1/8)*sqrt(2)*Surface to Volume Ratio of Stellated Octahedron)) to calculate the Edge Length of Peaks of Stellated Octahedron, Edge Length of Peaks of Stellated Octahedron given Surface to Volume Ratio formula is defined as the length of any of the edges of the tetrahedral shaped peaks attached on the faces of octahedron to form the Stellated Octahedron, calculated using its surface to volume ratio. Edge Length of Peaks of Stellated Octahedron is denoted by l_e(Peaks) symbol.

How to calculate Edge Length of Peaks of Stellated Octahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Edge Length of Peaks 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 Edge Length of Peaks of Stellated Octahedron given Surface to Volume Ratio calculation can be explained with given input values -> 5.248907 = (1/2)*(((3/2)*sqrt(3))/((1/8)*sqrt(2)*1.4)).

FAQ

What is Edge Length of Peaks of Stellated Octahedron given Surface to Volume Ratio?

Edge Length of Peaks of Stellated Octahedron given Surface to Volume Ratio formula is defined as the length of any of the edges of the tetrahedral shaped peaks attached on the faces of octahedron to form the Stellated Octahedron, calculated using its surface to volume ratio and is represented as l_e(Peaks) = (1/2)*(((3/2)*sqrt(3))/((1/8)*sqrt(2)*R_A/V)) or Edge Length of Peaks of Stellated Octahedron = (1/2)*(((3/2)*sqrt(3))/((1/8)*sqrt(2)*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.

How to calculate Edge Length of Peaks of Stellated Octahedron given Surface to Volume Ratio?

Edge Length of Peaks of Stellated Octahedron given Surface to Volume Ratio formula is defined as the length of any of the edges of the tetrahedral shaped peaks attached on the faces of octahedron to form the Stellated Octahedron, calculated using its surface to volume ratio is calculated using Edge Length of Peaks of Stellated Octahedron = (1/2)*(((3/2)*sqrt(3))/((1/8)*sqrt(2)*Surface to Volume Ratio of Stellated Octahedron)). To calculate Edge Length of Peaks 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 Edge Length of Peaks of Stellated Octahedron?

In this formula, Edge Length of Peaks 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 -

Edge Length of Peaks of Stellated Octahedron = Edge Length of Stellated Octahedron/2
Edge Length of Peaks of Stellated Octahedron = (1/2)*(4*Circumsphere Radius of Stellated Octahedron/sqrt(6))
Edge Length of Peaks of Stellated Octahedron = (1/2)*(sqrt((2*Total Surface Area of Stellated Octahedron)/(3*sqrt(3))))

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