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Edge length of pyramid of Triakis Tetrahedron given inradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
side_b = (4/5)*Inradius*(sqrt(11/2))
Sb = (4/5)*ri*(sqrt(11/2))
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 = (4/5)*ri*(sqrt(11/2)) --> (4/5)*10*(sqrt(11/2))
Evaluating ... ...
Sb = 18.7616630392937
STEP 3: Convert Result to Output's Unit
18.7616630392937 Meter --> No Conversion Required
FINAL ANSWER
18.7616630392937 Meter <-- Side B
(Calculation completed in 00.016 seconds)

6 Edge length of pyramid of Triakis Tetrahedron Calculators

Edge length of pyramid of Triakis Tetrahedron given surface area
side_b = (3/5)*(sqrt((5*Surface Area)/(3*sqrt(11)))) Go
Edge length of pyramid of Triakis Tetrahedron given volume
side_b = (3/5)*((20*Volume)/(3*sqrt(2)))^(1/3) Go
Edge length of pyramid of Triakis Tetrahedron given midradius
side_b = (3/5)*((4*Midradius)/(sqrt(2))) Go
Edge length of pyramid of Triakis Tetrahedron given inradius
side_b = (4/5)*Inradius*(sqrt(11/2)) Go
Edge length of pyramid of Triakis Tetrahedron given height
side_b = (Height/sqrt(6)) Go
Edge length of pyramid of Triakis Tetrahedron given edge length of tetrahedron
side_b = (3/5)*Side A Go

Edge length of pyramid of Triakis Tetrahedron given inradius Formula

side_b = (4/5)*Inradius*(sqrt(11/2))
Sb = (4/5)*ri*(sqrt(11/2))

What is triakis tetrahedron?

In geometry, a triakis tetrahedron (or kistetrahedron[1]) is a Catalan solid with 12 faces. Each Catalan solid is the dual of an Archimedean solid. The dual of the triakis tetrahedron is the truncated tetrahedron. The triakis tetrahedron can be seen as a tetrahedron with a triangular pyramid added to each face; that is, it is the Kleetope of the tetrahedron. It is very similar to the net for the 5-cell, as the net for a tetrahedron is a triangle with other triangles added to each edge, the net for the 5-cell a tetrahedron with pyramids attached to each face.

How to Calculate Edge length of pyramid of Triakis Tetrahedron given inradius?

Edge length of pyramid of Triakis Tetrahedron given inradius calculator uses side_b = (4/5)*Inradius*(sqrt(11/2)) to calculate the Side B, The Edge length of pyramid of triakis tetrahedron given inradius formula is defined as a straight line connecting two adjacent vertices of pyramid of triakis tetrahedron. Side B and is denoted by Sb symbol.

How to calculate Edge length of pyramid of Triakis Tetrahedron given inradius using this online calculator? To use this online calculator for Edge length of pyramid of Triakis Tetrahedron given inradius, enter Inradius (ri) and hit the calculate button. Here is how the Edge length of pyramid of Triakis Tetrahedron given inradius calculation can be explained with given input values -> 18.76166 = (4/5)*10*(sqrt(11/2)).

FAQ

What is Edge length of pyramid of Triakis Tetrahedron given inradius?
The Edge length of pyramid of triakis tetrahedron given inradius formula is defined as a straight line connecting two adjacent vertices of pyramid of triakis tetrahedron and is represented as Sb = (4/5)*ri*(sqrt(11/2)) or side_b = (4/5)*Inradius*(sqrt(11/2)). Inradius is defined as the radius of the circle which is inscribed inside the polygon.
How to calculate Edge length of pyramid of Triakis Tetrahedron given inradius?
The Edge length of pyramid of triakis tetrahedron given inradius formula is defined as a straight line connecting two adjacent vertices of pyramid of triakis tetrahedron is calculated using side_b = (4/5)*Inradius*(sqrt(11/2)). To calculate Edge length of pyramid of Triakis Tetrahedron 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 = (3/5)*Side A
  • side_b = (Height/sqrt(6))
  • side_b = (3/5)*(sqrt((5*Surface Area)/(3*sqrt(11))))
  • side_b = (3/5)*((20*Volume)/(3*sqrt(2)))^(1/3)
  • side_b = (3/5)*((4*Midradius)/(sqrt(2)))
  • side_b = (4/5)*Inradius*(sqrt(11/2))
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