Total Surface Area of Triakis Tetrahedron given Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Surface Area of Triakis Tetrahedron = (5/18)*sqrt(11)*(Height of Triakis Tetrahedron^2)
TSA = (5/18)*sqrt(11)*(h^2)
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
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.
Height of Triakis Tetrahedron - (Measured in Meter) - Height of Triakis Tetrahedron is the vertical distance from any vertex of the Triakis Tetrahedron to the face which is directly opposite to that vertex.
STEP 1: Convert Input(s) to Base Unit
Height of Triakis Tetrahedron: 25 Meter --> 25 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
TSA = (5/18)*sqrt(11)*(h^2) --> (5/18)*sqrt(11)*(25^2)
Evaluating ... ...
TSA = 575.802914992257
STEP 3: Convert Result to Output's Unit
575.802914992257 Square Meter --> No Conversion Required
FINAL ANSWER
575.802914992257 575.8029 Square Meter <-- Total Surface Area of Triakis Tetrahedron
(Calculation completed in 00.004 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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Verified by Anamika Mittal
Vellore Institute of Technology (VIT), Bhopal
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7 Total Surface Area of Triakis Tetrahedron Calculators

Total Surface Area of Triakis Tetrahedron given Surface to Volume Ratio
Go Total Surface Area of Triakis Tetrahedron = (3/5)*(sqrt(11))*((4*sqrt(11))/(Surface to Volume Ratio of Triakis Tetrahedron*sqrt(2)))^2
Total Surface Area of Triakis Tetrahedron given Midsphere Radius
Go Total Surface Area of Triakis Tetrahedron = (3/5)*(sqrt(11))*((4*Midsphere Radius of Triakis Tetrahedron)/(sqrt(2)))^2
Total Surface Area of Triakis Tetrahedron given Volume
Go Total Surface Area of Triakis Tetrahedron = (3/5)*(sqrt(11))*((20*Volume of Triakis Tetrahedron)/(3*sqrt(2)))^(2/3)
Total Surface Area of Triakis Tetrahedron
Go Total Surface Area of Triakis Tetrahedron = (3/5)*(Tetrahedral Edge Length of Triakis Tetrahedron)^2*sqrt(11)
Total Surface Area of Triakis Tetrahedron given Pyramidal Edge Length
Go Total Surface Area of Triakis Tetrahedron = (5/3)*sqrt(11)*(Pyramidal Edge Length of Triakis Tetrahedron)^2
Total Surface Area of Triakis Tetrahedron given Insphere Radius
Go Total Surface Area of Triakis Tetrahedron = 3/5*sqrt(11)*11/2*16/9*Insphere Radius of Triakis Tetrahedron^2
Total Surface Area of Triakis Tetrahedron given Height
Go Total Surface Area of Triakis Tetrahedron = (5/18)*sqrt(11)*(Height of Triakis Tetrahedron^2)

Total Surface Area of Triakis Tetrahedron given Height Formula

Total Surface Area of Triakis Tetrahedron = (5/18)*sqrt(11)*(Height of Triakis Tetrahedron^2)
TSA = (5/18)*sqrt(11)*(h^2)

What is Triakis Tetrahedron?

In geometry, a Triakis Tetrahedron (or kistetrahedron) 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 Total Surface Area of Triakis Tetrahedron given Height?

Total Surface Area of Triakis Tetrahedron given Height calculator uses Total Surface Area of Triakis Tetrahedron = (5/18)*sqrt(11)*(Height of Triakis Tetrahedron^2) to calculate the Total Surface Area of Triakis Tetrahedron, Total Surface Area of Triakis Tetrahedron given Height formula is defined as the amount or quantity of two dimensional space covered on the surface of Triakis Tetrahedron, and calculated using height of Triakis Tetrahedron. Total Surface Area of Triakis Tetrahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Triakis Tetrahedron given Height using this online calculator? To use this online calculator for Total Surface Area of Triakis Tetrahedron given Height, enter Height of Triakis Tetrahedron (h) and hit the calculate button. Here is how the Total Surface Area of Triakis Tetrahedron given Height calculation can be explained with given input values -> 575.8029 = (5/18)*sqrt(11)*(25^2).

FAQ

What is Total Surface Area of Triakis Tetrahedron given Height?
Total Surface Area of Triakis Tetrahedron given Height formula is defined as the amount or quantity of two dimensional space covered on the surface of Triakis Tetrahedron, and calculated using height of Triakis Tetrahedron and is represented as TSA = (5/18)*sqrt(11)*(h^2) or Total Surface Area of Triakis Tetrahedron = (5/18)*sqrt(11)*(Height of Triakis Tetrahedron^2). Height of Triakis Tetrahedron is the vertical distance from any vertex of the Triakis Tetrahedron to the face which is directly opposite to that vertex.
How to calculate Total Surface Area of Triakis Tetrahedron given Height?
Total Surface Area of Triakis Tetrahedron given Height formula is defined as the amount or quantity of two dimensional space covered on the surface of Triakis Tetrahedron, and calculated using height of Triakis Tetrahedron is calculated using Total Surface Area of Triakis Tetrahedron = (5/18)*sqrt(11)*(Height of Triakis Tetrahedron^2). To calculate Total Surface Area of Triakis Tetrahedron given Height, you need Height of Triakis Tetrahedron (h). With our tool, you need to enter the respective value for Height 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 Total Surface Area of Triakis Tetrahedron?
In this formula, Total Surface Area of Triakis Tetrahedron uses Height of Triakis Tetrahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Total Surface Area of Triakis Tetrahedron = (3/5)*(Tetrahedral Edge Length of Triakis Tetrahedron)^2*sqrt(11)
  • Total Surface Area of Triakis Tetrahedron = (5/3)*sqrt(11)*(Pyramidal Edge Length of Triakis Tetrahedron)^2
  • Total Surface Area of Triakis Tetrahedron = (3/5)*(sqrt(11))*((20*Volume of Triakis Tetrahedron)/(3*sqrt(2)))^(2/3)
  • Total Surface Area of Triakis Tetrahedron = (3/5)*(sqrt(11))*((4*Midsphere Radius of Triakis Tetrahedron)/(sqrt(2)))^2
  • Total Surface Area of Triakis Tetrahedron = (3/5)*(sqrt(11))*((4*sqrt(11))/(Surface to Volume Ratio of Triakis Tetrahedron*sqrt(2)))^2
  • Total Surface Area of Triakis Tetrahedron = 3/5*sqrt(11)*11/2*16/9*Insphere Radius of Triakis Tetrahedron^2
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