Total Surface Area of Triakis Tetrahedron given Midsphere Radius Calculator

✖Midsphere Radius of Triakis Tetrahedron is defined as a straight line connecting center and any point on midsphere of Triakis Tetrahedron.ⓘ Midsphere Radius of Triakis Tetrahedron [r_m]

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✖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 Midsphere Radius [TSA]

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Total Surface Area of Triakis Tetrahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Triakis Tetrahedron: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (3/5)*(sqrt(11))*((4*r_m)/(sqrt(2)))^2 --> (3/5)*(sqrt(11))*((4*6)/(sqrt(2)))^2

Evaluating ... ...

TSA = 573.112763773413

STEP 3: Convert Result to Output's Unit

573.112763773413 Square Meter --> No Conversion Required

FINAL ANSWER

573.112763773413 ≈ 573.1128 Square Meter <-- Total Surface Area of Triakis Tetrahedron

(Calculation completed in 00.004 seconds)

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< 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 Midsphere Radius Formula

LaTeX Go

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

What is Triakis Tetrahedron?

It is very similar to the net for the 5-cell, as the net for a tetrahedron is a triangle with other triangles added to each edge, the net for the 5-cell a tetrahedron with pyramids attached to each face. This interpretation is expressed in the name.
The length of the shorter edges is 3/5 that of the longer edges.[2] If the Triakis Tetrahedron has shorter edge length 1, it has area 5/3√11 and volume 25/36√2.

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

Total Surface Area of Triakis Tetrahedron given Midsphere Radius calculator uses Total Surface Area of Triakis Tetrahedron = (3/5)*(sqrt(11))*((4*Midsphere Radius of Triakis Tetrahedron)/(sqrt(2)))^2 to calculate the Total Surface Area of Triakis Tetrahedron, Total Surface Area of Triakis Tetrahedron given Midsphere Radius formula is defined as the amount or quantity of two dimensional space covered on the surface of Triakis Tetrahedron, and calculated using midsphere radius of Triakis Tetrahedron. Total Surface Area of Triakis Tetrahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Triakis Tetrahedron given Midsphere Radius using this online calculator? To use this online calculator for Total Surface Area of Triakis Tetrahedron given Midsphere Radius, enter Midsphere Radius of Triakis Tetrahedron (r_m) and hit the calculate button. Here is how the Total Surface Area of Triakis Tetrahedron given Midsphere Radius calculation can be explained with given input values -> 573.1128 = (3/5)*(sqrt(11))*((4*6)/(sqrt(2)))^2.

FAQ

What is Total Surface Area of Triakis Tetrahedron given Midsphere Radius?

Total Surface Area of Triakis Tetrahedron given Midsphere Radius formula is defined as the amount or quantity of two dimensional space covered on the surface of Triakis Tetrahedron, and calculated using midsphere radius of Triakis Tetrahedron and is represented as TSA = (3/5)*(sqrt(11))*((4*r_m)/(sqrt(2)))^2 or Total Surface Area of Triakis Tetrahedron = (3/5)*(sqrt(11))*((4*Midsphere Radius of Triakis Tetrahedron)/(sqrt(2)))^2. Midsphere Radius of Triakis Tetrahedron is defined as a straight line connecting center and any point on midsphere of Triakis Tetrahedron.

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

Total Surface Area of Triakis Tetrahedron given Midsphere Radius formula is defined as the amount or quantity of two dimensional space covered on the surface of Triakis Tetrahedron, and calculated using midsphere radius of Triakis Tetrahedron is calculated using Total Surface Area of Triakis Tetrahedron = (3/5)*(sqrt(11))*((4*Midsphere Radius of Triakis Tetrahedron)/(sqrt(2)))^2. To calculate Total Surface Area of Triakis Tetrahedron given Midsphere Radius, you need Midsphere Radius of Triakis Tetrahedron (r_m). With our tool, you need to enter the respective value for Midsphere Radius 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 Midsphere Radius 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 = (5/18)*sqrt(11)*(Height of Triakis Tetrahedron^2)

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