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Edge length of pyramid of Triakis Icosahedron given surface area Solution

STEP 0: Pre-Calculation Summary
Formula Used
side_b = ((15-sqrt(5))/22)*(sqrt((11*Surface Area)/(15*(sqrt(109-(30*sqrt(5)))))))
Sb = ((15-sqrt(5))/22)*(sqrt((11*SA)/(15*(sqrt(109-(30*sqrt(5)))))))
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
Sb = ((15-sqrt(5))/22)*(sqrt((11*SA)/(15*(sqrt(109-(30*sqrt(5))))))) --> ((15-sqrt(5))/22)*(sqrt((11*50)/(15*(sqrt(109-(30*sqrt(5)))))))
Evaluating ... ...
Sb = 1.38069413651442
STEP 3: Convert Result to Output's Unit
1.38069413651442 Meter --> No Conversion Required
FINAL ANSWER
1.38069413651442 Meter <-- Side B
(Calculation completed in 00.015 seconds)

6 Edge length of pyramid of Triakis Icosahedron Calculators

Edge length of pyramid of Triakis Icosahedron given surface to volume ratio
side_b = ((15-sqrt(5))/22)*((12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*Surface to Volume Ratio)) Go
Edge length of pyramid of Triakis Icosahedron given surface area
side_b = ((15-sqrt(5))/22)*(sqrt((11*Surface Area)/(15*(sqrt(109-(30*sqrt(5))))))) Go
Edge length of pyramid of Triakis Icosahedron given inradius
side_b = ((15-sqrt(5))/22)*((4*Inradius)/(sqrt((10*(33+(13*sqrt(5))))/61))) Go
Edge length of pyramid of Triakis Icosahedron given volume
side_b = ((15-sqrt(5))/22)*(((44*Volume)/(5*(5+(7*sqrt(5)))))^(1/3)) Go
Edge length of pyramid of Triakis Icosahedron given midradius
side_b = ((15-sqrt(5))/22)*((4*Midradius)/(1+sqrt(5))) Go
Edge length of pyramid of Triakis Icosahedron given edge length of icosahedron
side_b = ((15-sqrt(5))/22)*Side A Go

Edge length of pyramid of Triakis Icosahedron given surface area Formula

side_b = ((15-sqrt(5))/22)*(sqrt((11*Surface Area)/(15*(sqrt(109-(30*sqrt(5)))))))
Sb = ((15-sqrt(5))/22)*(sqrt((11*SA)/(15*(sqrt(109-(30*sqrt(5)))))))

What is Triakis Icosahedron?

The triakis icosahedron is a three-dimensional polyhedron created from the dual of the truncated dodecahedron. Because of this, it shares the same full icosahedral symmetry group as the dodecahedron and the truncated dodecahedron. It can also be constructed by adding short triangular pyramids onto the faces of an icosahedron.

How to Calculate Edge length of pyramid of Triakis Icosahedron given surface area?

Edge length of pyramid of Triakis Icosahedron given surface area calculator uses side_b = ((15-sqrt(5))/22)*(sqrt((11*Surface Area)/(15*(sqrt(109-(30*sqrt(5))))))) to calculate the Side B, Edge length of pyramid of Triakis Icosahedron given surface area formula is defined as a straight line joining two adjacent vertices of pyramid of triakis icosahedron. Where, side_b = Edge length of pyramid. Side B and is denoted by Sb symbol.

How to calculate Edge length of pyramid of Triakis Icosahedron given surface area using this online calculator? To use this online calculator for Edge length of pyramid of Triakis Icosahedron given surface area, enter Surface Area (SA) and hit the calculate button. Here is how the Edge length of pyramid of Triakis Icosahedron given surface area calculation can be explained with given input values -> 1.380694 = ((15-sqrt(5))/22)*(sqrt((11*50)/(15*(sqrt(109-(30*sqrt(5))))))).

FAQ

What is Edge length of pyramid of Triakis Icosahedron given surface area?
Edge length of pyramid of Triakis Icosahedron given surface area formula is defined as a straight line joining two adjacent vertices of pyramid of triakis icosahedron. Where, side_b = Edge length of pyramid and is represented as Sb = ((15-sqrt(5))/22)*(sqrt((11*SA)/(15*(sqrt(109-(30*sqrt(5))))))) or side_b = ((15-sqrt(5))/22)*(sqrt((11*Surface Area)/(15*(sqrt(109-(30*sqrt(5))))))). 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 pyramid of Triakis Icosahedron given surface area?
Edge length of pyramid of Triakis Icosahedron given surface area formula is defined as a straight line joining two adjacent vertices of pyramid of triakis icosahedron. Where, side_b = Edge length of pyramid is calculated using side_b = ((15-sqrt(5))/22)*(sqrt((11*Surface Area)/(15*(sqrt(109-(30*sqrt(5))))))). To calculate Edge length of pyramid of Triakis Icosahedron 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 B?
In this formula, Side B uses Surface Area. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • side_b = ((15-sqrt(5))/22)*Side A
  • side_b = ((15-sqrt(5))/22)*(sqrt((11*Surface Area)/(15*(sqrt(109-(30*sqrt(5)))))))
  • side_b = ((15-sqrt(5))/22)*(((44*Volume)/(5*(5+(7*sqrt(5)))))^(1/3))
  • side_b = ((15-sqrt(5))/22)*((4*Midradius)/(1+sqrt(5)))
  • side_b = ((15-sqrt(5))/22)*((4*Inradius)/(sqrt((10*(33+(13*sqrt(5))))/61)))
  • side_b = ((15-sqrt(5))/22)*((12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*Surface to Volume Ratio))
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