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Edge length of pyramid of Triakis Octahedron given surface to volume ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
side_b = (2-sqrt(2))*((6*sqrt(23-16*sqrt(2)))/((2-sqrt(2))*Surface to Volume Ratio))
Sb = (2-sqrt(2))*((6*sqrt(23-16*sqrt(2)))/((2-sqrt(2))*RAV))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Surface to Volume Ratio - Surface to Volume Ratio is fraction of surface to volume. (Measured in Hundred)
STEP 1: Convert Input(s) to Base Unit
Surface to Volume Ratio: 0.5 Hundred --> 0.5 Hundred No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Sb = (2-sqrt(2))*((6*sqrt(23-16*sqrt(2)))/((2-sqrt(2))*RAV)) --> (2-sqrt(2))*((6*sqrt(23-16*sqrt(2)))/((2-sqrt(2))*0.5))
Evaluating ... ...
Sb = 7.32474929894456
STEP 3: Convert Result to Output's Unit
7.32474929894456 Meter --> No Conversion Required
FINAL ANSWER
7.32474929894456 Meter <-- Side B
(Calculation completed in 00.000 seconds)

6 Edge length of pyramid of Triakis Octahedron Calculators

Edge length of pyramid of Triakis Octahedron given surface to volume ratio
side_b = (2-sqrt(2))*((6*sqrt(23-16*sqrt(2)))/((2-sqrt(2))*Surface to Volume Ratio)) Go
Edge length of pyramid of Triakis Octahedron given surface area
side_b = (2-sqrt(2))*(sqrt((Surface Area)/(6*sqrt(23-(16*sqrt(2)))))) Go
Edge length of pyramid of Triakis Octahedron given inradius
side_b = (2-sqrt(2))*((Inradius)/(sqrt((5+2*sqrt(2))/34))) Go
Edge length of pyramid of Triakis Octahedron given volume
side_b = (2-sqrt(2))*(((Volume)/(2-sqrt(2)))^(1/3)) Go
Edge length of pyramid of Triakis Octahedron given midradius
side_b = (2-sqrt(2))*(2*Midradius) Go
Edge length of pyramid of Triakis Octahedron given edge length of octahedron
side_b = (2-sqrt(2))*Side A Go

Edge length of pyramid of Triakis Octahedron given surface to volume ratio Formula

side_b = (2-sqrt(2))*((6*sqrt(23-16*sqrt(2)))/((2-sqrt(2))*Surface to Volume Ratio))
Sb = (2-sqrt(2))*((6*sqrt(23-16*sqrt(2)))/((2-sqrt(2))*RAV))

What is triakis octahedron?

In geometry, a triakis octahedron (or trigonal trisoctahedron or kisoctahedron) is an Archimedean dual solid, or a Catalan solid. Its dual is the truncated cube. It can be seen as an octahedron with triangular pyramids added to each face; that is, it is the Kleetope of the octahedron. It is also sometimes called a trisoctahedron, or, more fully, trigonal trisoctahedron. Both names reflect the fact that it has three triangular faces for every face of an octahedron. The tetragonal trisoctahedron is another name for the deltoidal icositetrahedron, a different polyhedron with three quadrilateral faces for every face of an octahedron.

How to Calculate Edge length of pyramid of Triakis Octahedron given surface to volume ratio?

Edge length of pyramid of Triakis Octahedron given surface to volume ratio calculator uses side_b = (2-sqrt(2))*((6*sqrt(23-16*sqrt(2)))/((2-sqrt(2))*Surface to Volume Ratio)) to calculate the Side B, Edge length of pyramid of Triakis Octahedron given surface to volume ratio formula is defined as a straight line connecting two adjacent vertices of pyramid of triakis octahedron. Where, side_b = Edge length of pyramid (b) of triakis octahedron. Side B and is denoted by Sb symbol.

How to calculate Edge length of pyramid of Triakis Octahedron given surface to volume ratio using this online calculator? To use this online calculator for Edge length of pyramid of Triakis Octahedron given surface to volume ratio, enter Surface to Volume Ratio (RAV) and hit the calculate button. Here is how the Edge length of pyramid of Triakis Octahedron given surface to volume ratio calculation can be explained with given input values -> 7.324749 = (2-sqrt(2))*((6*sqrt(23-16*sqrt(2)))/((2-sqrt(2))*0.5)).

FAQ

What is Edge length of pyramid of Triakis Octahedron given surface to volume ratio?
Edge length of pyramid of Triakis Octahedron given surface to volume ratio formula is defined as a straight line connecting two adjacent vertices of pyramid of triakis octahedron. Where, side_b = Edge length of pyramid (b) of triakis octahedron and is represented as Sb = (2-sqrt(2))*((6*sqrt(23-16*sqrt(2)))/((2-sqrt(2))*RAV)) or side_b = (2-sqrt(2))*((6*sqrt(23-16*sqrt(2)))/((2-sqrt(2))*Surface to Volume Ratio)). Surface to Volume Ratio is fraction of surface to volume.
How to calculate Edge length of pyramid of Triakis Octahedron given surface to volume ratio?
Edge length of pyramid of Triakis Octahedron given surface to volume ratio formula is defined as a straight line connecting two adjacent vertices of pyramid of triakis octahedron. Where, side_b = Edge length of pyramid (b) of triakis octahedron is calculated using side_b = (2-sqrt(2))*((6*sqrt(23-16*sqrt(2)))/((2-sqrt(2))*Surface to Volume Ratio)). To calculate Edge length of pyramid of Triakis Octahedron given surface to volume ratio, you need Surface to Volume Ratio (RAV). With our tool, you need to enter the respective value for Surface to Volume Ratio 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 Side B?
In this formula, Side B uses Surface to Volume Ratio. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • side_b = (2-sqrt(2))*((6*sqrt(23-16*sqrt(2)))/((2-sqrt(2))*Surface to Volume Ratio))
  • side_b = (2-sqrt(2))*((Inradius)/(sqrt((5+2*sqrt(2))/34)))
  • side_b = (2-sqrt(2))*(2*Midradius)
  • side_b = (2-sqrt(2))*(((Volume)/(2-sqrt(2)))^(1/3))
  • side_b = (2-sqrt(2))*(sqrt((Surface Area)/(6*sqrt(23-(16*sqrt(2))))))
  • side_b = (2-sqrt(2))*Side A
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