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Edge length of pyramid of Triakis Octahedron given inradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
side_b = (2-sqrt(2))*((Inradius)/(sqrt((5+2*sqrt(2))/34)))
Sb = (2-sqrt(2))*((ri)/(sqrt((5+2*sqrt(2))/34)))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Inradius - Inradius is defined as the radius of the circle which is inscribed inside the polygon. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Inradius: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Sb = (2-sqrt(2))*((ri)/(sqrt((5+2*sqrt(2))/34))) --> (2-sqrt(2))*((10)/(sqrt((5+2*sqrt(2))/34)))
Evaluating ... ...
Sb = 12.207915498241
STEP 3: Convert Result to Output's Unit
12.207915498241 Meter --> No Conversion Required
FINAL ANSWER
12.207915498241 Meter <-- Side B
(Calculation completed in 00.016 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 inradius Formula

side_b = (2-sqrt(2))*((Inradius)/(sqrt((5+2*sqrt(2))/34)))
Sb = (2-sqrt(2))*((ri)/(sqrt((5+2*sqrt(2))/34)))

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 inradius?

Edge length of pyramid of Triakis Octahedron given inradius calculator uses side_b = (2-sqrt(2))*((Inradius)/(sqrt((5+2*sqrt(2))/34))) to calculate the Side B, Edge length of pyramid of Triakis Octahedron given inradius 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 inradius using this online calculator? To use this online calculator for Edge length of pyramid of Triakis Octahedron given inradius, enter Inradius (ri) and hit the calculate button. Here is how the Edge length of pyramid of Triakis Octahedron given inradius calculation can be explained with given input values -> 12.20792 = (2-sqrt(2))*((10)/(sqrt((5+2*sqrt(2))/34))).

FAQ

What is Edge length of pyramid of Triakis Octahedron given inradius?
Edge length of pyramid of Triakis Octahedron given inradius 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))*((ri)/(sqrt((5+2*sqrt(2))/34))) or side_b = (2-sqrt(2))*((Inradius)/(sqrt((5+2*sqrt(2))/34))). Inradius is defined as the radius of the circle which is inscribed inside the polygon.
How to calculate Edge length of pyramid of Triakis Octahedron given inradius?
Edge length of pyramid of Triakis Octahedron given inradius 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))*((Inradius)/(sqrt((5+2*sqrt(2))/34))). To calculate Edge length of pyramid of Triakis Octahedron given inradius, you need Inradius (ri). With our tool, you need to enter the respective value for Inradius 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 Inradius. 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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