Midsphere Radius of Triakis Tetrahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Midsphere Radius of Triakis Tetrahedron = ((sqrt(2))/4)*sqrt((5*Total Surface Area of Triakis Tetrahedron)/(3*sqrt(11)))
rm = ((sqrt(2))/4)*sqrt((5*TSA)/(3*sqrt(11)))
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Midsphere Radius of Triakis Tetrahedron - (Measured in Meter) - Midsphere Radius of Triakis Tetrahedron is defined as a straight line connecting center and any point on midsphere of Triakis Tetrahedron.
Total Surface Area of Triakis Tetrahedron - (Measured in Square Meter) - The Total Surface Area of Triakis Tetrahedron is the amount or quantity of two dimensional space covered on the surface of Triakis Tetrahedron.
STEP 1: Convert Input(s) to Base Unit
Total Surface Area of Triakis Tetrahedron: 550 Square Meter --> 550 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rm = ((sqrt(2))/4)*sqrt((5*TSA)/(3*sqrt(11))) --> ((sqrt(2))/4)*sqrt((5*550)/(3*sqrt(11)))
Evaluating ... ...
rm = 5.8777695514145
STEP 3: Convert Result to Output's Unit
5.8777695514145 Meter --> No Conversion Required
FINAL ANSWER
5.8777695514145 5.87777 Meter <-- Midsphere Radius of Triakis Tetrahedron
(Calculation completed in 00.004 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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St Joseph's College (SJC), Bengaluru
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7 Midsphere Radius of Triakis Tetrahedron Calculators

Midsphere Radius of Triakis Tetrahedron given Total Surface Area
Go Midsphere Radius of Triakis Tetrahedron = ((sqrt(2))/4)*sqrt((5*Total Surface Area of Triakis Tetrahedron)/(3*sqrt(11)))
Midsphere Radius of Triakis Tetrahedron given Volume
Go Midsphere Radius of Triakis Tetrahedron = (sqrt(2)/4)*((20*Volume of Triakis Tetrahedron)/(3*sqrt(2)))^(1/3)
Midsphere Radius of Triakis Tetrahedron given Height
Go Midsphere Radius of Triakis Tetrahedron = ((sqrt(2))/4)*((5*Height of Triakis Tetrahedron)/(3*sqrt(6)))
Midsphere Radius of Triakis Tetrahedron given Pyramidal Edge Length
Go Midsphere Radius of Triakis Tetrahedron = ((sqrt(2))/4)*((5*Pyramidal Edge Length of Triakis Tetrahedron)/3)
Midsphere Radius of Triakis Tetrahedron
Go Midsphere Radius of Triakis Tetrahedron = (sqrt(2)/4)*Tetrahedral Edge Length of Triakis Tetrahedron
Midsphere Radius of Triakis Tetrahedron given Surface to Volume Ratio
Go Midsphere Radius of Triakis Tetrahedron = sqrt(11)/Surface to Volume Ratio of Triakis Tetrahedron
Midsphere Radius of Triakis Tetrahedron given Insphere Radius
Go Midsphere Radius of Triakis Tetrahedron = (sqrt(11)/3)*Insphere Radius of Triakis Tetrahedron

Midsphere Radius of Triakis Tetrahedron given Total Surface Area Formula

Midsphere Radius of Triakis Tetrahedron = ((sqrt(2))/4)*sqrt((5*Total Surface Area of Triakis Tetrahedron)/(3*sqrt(11)))
rm = ((sqrt(2))/4)*sqrt((5*TSA)/(3*sqrt(11)))

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

How to Calculate Midsphere Radius of Triakis Tetrahedron given Total Surface Area?

Midsphere Radius of Triakis Tetrahedron given Total Surface Area calculator uses Midsphere Radius of Triakis Tetrahedron = ((sqrt(2))/4)*sqrt((5*Total Surface Area of Triakis Tetrahedron)/(3*sqrt(11))) to calculate the Midsphere Radius of Triakis Tetrahedron, Midsphere Radius of Triakis Tetrahedron given Total Surface Area formula is defined as a straight line connecting center and any point on midsphere of Triakis Tetrahedron, calculated using total surface area of Triakis Tetrahedron. Midsphere Radius of Triakis Tetrahedron is denoted by rm symbol.

How to calculate Midsphere Radius of Triakis Tetrahedron given Total Surface Area using this online calculator? To use this online calculator for Midsphere Radius of Triakis Tetrahedron given Total Surface Area, enter Total Surface Area of Triakis Tetrahedron (TSA) and hit the calculate button. Here is how the Midsphere Radius of Triakis Tetrahedron given Total Surface Area calculation can be explained with given input values -> 5.87777 = ((sqrt(2))/4)*sqrt((5*550)/(3*sqrt(11))).

FAQ

What is Midsphere Radius of Triakis Tetrahedron given Total Surface Area?
Midsphere Radius of Triakis Tetrahedron given Total Surface Area formula is defined as a straight line connecting center and any point on midsphere of Triakis Tetrahedron, calculated using total surface area of Triakis Tetrahedron and is represented as rm = ((sqrt(2))/4)*sqrt((5*TSA)/(3*sqrt(11))) or Midsphere Radius of Triakis Tetrahedron = ((sqrt(2))/4)*sqrt((5*Total Surface Area of Triakis Tetrahedron)/(3*sqrt(11))). The Total Surface Area of Triakis Tetrahedron is the amount or quantity of two dimensional space covered on the surface of Triakis Tetrahedron.
How to calculate Midsphere Radius of Triakis Tetrahedron given Total Surface Area?
Midsphere Radius of Triakis Tetrahedron given Total Surface Area formula is defined as a straight line connecting center and any point on midsphere of Triakis Tetrahedron, calculated using total surface area of Triakis Tetrahedron is calculated using Midsphere Radius of Triakis Tetrahedron = ((sqrt(2))/4)*sqrt((5*Total Surface Area of Triakis Tetrahedron)/(3*sqrt(11))). To calculate Midsphere Radius of Triakis Tetrahedron given Total Surface Area, you need Total Surface Area of Triakis Tetrahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area of Triakis Tetrahedron 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 Midsphere Radius of Triakis Tetrahedron?
In this formula, Midsphere Radius of Triakis Tetrahedron uses Total Surface Area of Triakis Tetrahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Midsphere Radius of Triakis Tetrahedron = (sqrt(2)/4)*Tetrahedral Edge Length of Triakis Tetrahedron
  • Midsphere Radius of Triakis Tetrahedron = ((sqrt(2))/4)*((5*Height of Triakis Tetrahedron)/(3*sqrt(6)))
  • Midsphere Radius of Triakis Tetrahedron = ((sqrt(2))/4)*((5*Pyramidal Edge Length of Triakis Tetrahedron)/3)
  • Midsphere Radius of Triakis Tetrahedron = sqrt(11)/Surface to Volume Ratio of Triakis Tetrahedron
  • Midsphere Radius of Triakis Tetrahedron = (sqrt(11)/3)*Insphere Radius of Triakis Tetrahedron
  • Midsphere Radius of Triakis Tetrahedron = (sqrt(2)/4)*((20*Volume of Triakis Tetrahedron)/(3*sqrt(2)))^(1/3)
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