Edge Length of Stellated Octahedron given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Edge Length of Stellated Octahedron = ((8*Volume of Stellated Octahedron)/(sqrt(2)))^(1/3)
le = ((8*V)/(sqrt(2)))^(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
Edge Length of Stellated Octahedron - (Measured in Meter) - Edge Length of Stellated Octahedron is the distance between any pair of adjacent peak vertices 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
le = ((8*V)/(sqrt(2)))^(1/3) --> ((8*180)/(sqrt(2)))^(1/3)
Evaluating ... ...
le = 10.0604135022478
STEP 3: Convert Result to Output's Unit
10.0604135022478 Meter --> No Conversion Required
FINAL ANSWER
10.0604135022478 10.06041 Meter <-- Edge Length of Stellated Octahedron
(Calculation completed in 00.004 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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5 Edge Length of Stellated Octahedron Calculators

Edge Length of Stellated Octahedron given Surface to Volume Ratio
Go Edge Length of Stellated Octahedron = ((3/2)*sqrt(3))/((1/8)*sqrt(2)*Surface to Volume Ratio of Stellated Octahedron)
Edge Length of Stellated Octahedron given Total Surface Area
Go Edge Length of Stellated Octahedron = sqrt((2*Total Surface Area of Stellated Octahedron)/(3*sqrt(3)))
Edge Length of Stellated Octahedron given Circumsphere Radius
Go Edge Length of Stellated Octahedron = (4*Circumsphere Radius of Stellated Octahedron)/sqrt(6)
Edge Length of Stellated Octahedron given Volume
Go Edge Length of Stellated Octahedron = ((8*Volume of Stellated Octahedron)/(sqrt(2)))^(1/3)
Edge Length of Stellated Octahedron given Edge Length of Peaks
Go Edge Length of Stellated Octahedron = 2*Edge Length of Peaks of Stellated Octahedron

Edge Length of Stellated Octahedron given Volume Formula

Edge Length of Stellated Octahedron = ((8*Volume of Stellated Octahedron)/(sqrt(2)))^(1/3)
le = ((8*V)/(sqrt(2)))^(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 Edge Length of Stellated Octahedron given Volume?

Edge Length of Stellated Octahedron given Volume calculator uses Edge Length of Stellated Octahedron = ((8*Volume of Stellated Octahedron)/(sqrt(2)))^(1/3) to calculate the Edge Length of Stellated Octahedron, Edge Length of Stellated Octahedron given Volume formula is defined as the distance between any pair of adjacent peak vertices of the Stellated Octahedron, calculated using its volume. Edge Length of Stellated Octahedron is denoted by le symbol.

How to calculate Edge Length of Stellated Octahedron given Volume using this online calculator? To use this online calculator for Edge Length of Stellated Octahedron given Volume, enter Volume of Stellated Octahedron (V) and hit the calculate button. Here is how the Edge Length of Stellated Octahedron given Volume calculation can be explained with given input values -> 10.06041 = ((8*180)/(sqrt(2)))^(1/3).

FAQ

What is Edge Length of Stellated Octahedron given Volume?
Edge Length of Stellated Octahedron given Volume formula is defined as the distance between any pair of adjacent peak vertices of the Stellated Octahedron, calculated using its volume and is represented as le = ((8*V)/(sqrt(2)))^(1/3) or Edge Length of Stellated Octahedron = ((8*Volume of Stellated Octahedron)/(sqrt(2)))^(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 Edge Length of Stellated Octahedron given Volume?
Edge Length of Stellated Octahedron given Volume formula is defined as the distance between any pair of adjacent peak vertices of the Stellated Octahedron, calculated using its volume is calculated using Edge Length of Stellated Octahedron = ((8*Volume of Stellated Octahedron)/(sqrt(2)))^(1/3). To calculate Edge Length 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 Edge Length of Stellated Octahedron?
In this formula, Edge Length of Stellated Octahedron uses Volume of Stellated Octahedron. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Edge Length of Stellated Octahedron = 2*Edge Length of Peaks of Stellated Octahedron
  • Edge Length of Stellated Octahedron = (4*Circumsphere Radius of Stellated Octahedron)/sqrt(6)
  • Edge Length of Stellated Octahedron = sqrt((2*Total Surface Area of Stellated Octahedron)/(3*sqrt(3)))
  • Edge Length of Stellated Octahedron = ((3/2)*sqrt(3))/((1/8)*sqrt(2)*Surface to Volume Ratio of Stellated Octahedron)
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