Total Surface Area of Triakis Tetrahedron given Height Calculator

✖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.ⓘ Height of Triakis Tetrahedron [h]

+10%

-10%

✖The Total Surface Area of Triakis Tetrahedron is the amount or quantity of two dimensional space covered on the surface of Triakis Tetrahedron.ⓘ Total Surface Area of Triakis Tetrahedron given Height [TSA]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

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)

You are here -

Home » Math » Geometry » 3D Geometry » CatalanSolids » Triakis Tetrahedron » Surface Area of Triakis Tetrahedron » Total Surface Area of Triakis Tetrahedron » Total Surface Area of Triakis Tetrahedron given Height

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

Anamika Mittal has verified this Calculator and 300+ more calculators!

< Total Surface Area of Triakis Tetrahedron Calculators

Total Surface Area of Triakis Tetrahedron given Volume

LaTeX 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

LaTeX 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

LaTeX 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 Height

LaTeX 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

LaTeX Go

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 3 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)

Home

FREE PDFs

🔍 Search