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Edge length of octahedron of Triakis Octahedron given surface area Solution

STEP 0: Pre-Calculation Summary
Formula Used
side_a = sqrt(Surface Area/(6*sqrt(23-16*sqrt(2))))
Sa = sqrt(SA/(6*sqrt(23-16*sqrt(2))))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Surface Area - The surface area of a three-dimensional shape is the sum of all of the surface areas of each of the sides. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Surface Area: 50 Square Meter --> 50 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Sa = sqrt(SA/(6*sqrt(23-16*sqrt(2)))) --> sqrt(50/(6*sqrt(23-16*sqrt(2))))
Evaluating ... ...
Sa = 3.69490790007739
STEP 3: Convert Result to Output's Unit
3.69490790007739 Meter --> No Conversion Required
FINAL ANSWER
3.69490790007739 Meter <-- Side A
(Calculation completed in 00.000 seconds)

6 Edge length of octahedron of Triakis Octahedron Calculators

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

Edge length of octahedron of Triakis Octahedron given surface area Formula

side_a = sqrt(Surface Area/(6*sqrt(23-16*sqrt(2))))
Sa = sqrt(SA/(6*sqrt(23-16*sqrt(2))))

What is triakis octahedron and what are its properties?

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. This convex polyhedron is topologically similar to the concave stellated octahedron. They have the same face connectivity, but the vertices are in different relative distances from the center.

How to Calculate Edge length of octahedron of Triakis Octahedron given surface area?

Edge length of octahedron of Triakis Octahedron given surface area calculator uses side_a = sqrt(Surface Area/(6*sqrt(23-16*sqrt(2)))) to calculate the Side A, The Edge length of octahedron of triakis octahedron given surface area formula is defined as a straight line coonecting two adjacent vertices of octahedron of triakis octahedron. Where, side_a = Edge length octahedron (a) of triakis octahedron. Side A and is denoted by Sa symbol.

How to calculate Edge length of octahedron of Triakis Octahedron given surface area using this online calculator? To use this online calculator for Edge length of octahedron of Triakis Octahedron given surface area, enter Surface Area (SA) and hit the calculate button. Here is how the Edge length of octahedron of Triakis Octahedron given surface area calculation can be explained with given input values -> 3.694908 = sqrt(50/(6*sqrt(23-16*sqrt(2)))).

FAQ

What is Edge length of octahedron of Triakis Octahedron given surface area?
The Edge length of octahedron of triakis octahedron given surface area formula is defined as a straight line coonecting two adjacent vertices of octahedron of triakis octahedron. Where, side_a = Edge length octahedron (a) of triakis octahedron and is represented as Sa = sqrt(SA/(6*sqrt(23-16*sqrt(2)))) or side_a = sqrt(Surface Area/(6*sqrt(23-16*sqrt(2)))). The surface area of a three-dimensional shape is the sum of all of the surface areas of each of the sides.
How to calculate Edge length of octahedron of Triakis Octahedron given surface area?
The Edge length of octahedron of triakis octahedron given surface area formula is defined as a straight line coonecting two adjacent vertices of octahedron of triakis octahedron. Where, side_a = Edge length octahedron (a) of triakis octahedron is calculated using side_a = sqrt(Surface Area/(6*sqrt(23-16*sqrt(2)))). To calculate Edge length of octahedron of Triakis Octahedron given surface area, you need Surface Area (SA). With our tool, you need to enter the respective value for Surface Area 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 A?
In this formula, Side A uses Surface Area. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • side_a = (6*sqrt(23-16*sqrt(2)))/((2-sqrt(2))*Surface to Volume Ratio)
  • side_a = Side B/(2-sqrt(2))
  • side_a = sqrt(Surface Area/(6*sqrt(23-16*sqrt(2))))
  • side_a = ((Volume)/(2-sqrt(2)))^(1/3)
  • side_a = 2*Midradius
  • side_a = (Inradius)/(sqrt((5+2*sqrt(2))/34))
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