Total Surface Area of Triakis Octahedron given Pyramidal Edge Length Calculator

✖Pyramidal Edge Length of Triakis Octahedron is the length of the line connecting any two adjacent vertices of pyramid of Triakis Octahedron.ⓘ Pyramidal Edge Length of Triakis Octahedron [l_e(Pyramid)]

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✖Total Surface Area of Triakis Octahedron is the total quantity of plane enclosed on the entire surface of the Triakis Octahedron.ⓘ Total Surface Area of Triakis Octahedron given Pyramidal Edge Length [TSA]

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Total Surface Area of Triakis Octahedron given Pyramidal Edge Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Triakis Octahedron = 6*(Pyramidal Edge Length of Triakis Octahedron/(2-sqrt(2)))^2*sqrt(23-(16*sqrt(2)))
TSA = 6*(l_e(Pyramid)/(2-sqrt(2)))^2*sqrt(23-(16*sqrt(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 Octahedron - (Measured in Square Meter) - Total Surface Area of Triakis Octahedron is the total quantity of plane enclosed on the entire surface of the Triakis Octahedron.
Pyramidal Edge Length of Triakis Octahedron - (Measured in Meter) - Pyramidal Edge Length of Triakis Octahedron is the length of the line connecting any two adjacent vertices of pyramid of Triakis Octahedron.

STEP 1: Convert Input(s) to Base Unit

Pyramidal Edge Length of Triakis Octahedron: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 6*(l_e(Pyramid)/(2-sqrt(2)))^2*sqrt(23-(16*sqrt(2))) --> 6*(6/(2-sqrt(2)))^2*sqrt(23-(16*sqrt(2)))

Evaluating ... ...

TSA = 384.225907463407

STEP 3: Convert Result to Output's Unit

384.225907463407 Square Meter --> No Conversion Required

FINAL ANSWER

384.225907463407 ≈ 384.2259 Square Meter <-- Total Surface Area of Triakis Octahedron

(Calculation completed in 00.020 seconds)

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< Surface Area of Triakis Octahedron Calculators

Total Surface Area of Triakis Octahedron given Surface to Volume Ratio

LaTeX Go Total Surface Area of Triakis Octahedron = 6*((6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*Surface to Volume Ratio of Triakis Octahedron))^2*sqrt(23-(16*sqrt(2)))

Total Surface Area of Triakis Octahedron given Insphere Radius

LaTeX Go Total Surface Area of Triakis Octahedron = ((204*Insphere Radius of Triakis Octahedron^2)/(5+(2*sqrt(2))))*sqrt(23-(16*sqrt(2)))

Total Surface Area of Triakis Octahedron given Volume

LaTeX Go Total Surface Area of Triakis Octahedron = 6*(Volume of Triakis Octahedron/(2-sqrt(2)))^(2/3)*sqrt(23-(16*sqrt(2)))

Total Surface Area of Triakis Octahedron given Midsphere Radius

LaTeX Go Total Surface Area of Triakis Octahedron = 6*(2*Midsphere Radius of Triakis Octahedron)^2*sqrt(23-(16*sqrt(2)))

Total Surface Area of Triakis Octahedron given Pyramidal Edge Length Formula

LaTeX Go

Total Surface Area of Triakis Octahedron = 6*(Pyramidal Edge Length of Triakis Octahedron/(2-sqrt(2)))^2*sqrt(23-(16*sqrt(2)))
TSA = 6*(l_e(Pyramid)/(2-sqrt(2)))^2*sqrt(23-(16*sqrt(2)))

What is Triakis Octahedron?

In geometry, a Triakis Octahedron (or trigonal trisoctahedron or kisoctahedron) is an Archimedean dual solid, or a Catalan solid. Its dual is the truncated cube. It is a regular octahedron with matching regular triangular pyramids attached to its faces. It has eight vertices with three edges and six vertices with eight edges. Triakis Octahedron has 24 faces, 36 edges and 14 vertices.

How to Calculate Total Surface Area of Triakis Octahedron given Pyramidal Edge Length?

Total Surface Area of Triakis Octahedron given Pyramidal Edge Length calculator uses Total Surface Area of Triakis Octahedron = 6*(Pyramidal Edge Length of Triakis Octahedron/(2-sqrt(2)))^2*sqrt(23-(16*sqrt(2))) to calculate the Total Surface Area of Triakis Octahedron, The Total Surface Area of Triakis Octahedron given Pyramidal Edge Length formula is defined as the total quantity of plane enclosed on the entire surface of the Triakis Octahedron, calculated using the pyramidal edge length of the Triakis Octahedron. Total Surface Area of Triakis Octahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Triakis Octahedron given Pyramidal Edge Length using this online calculator? To use this online calculator for Total Surface Area of Triakis Octahedron given Pyramidal Edge Length, enter Pyramidal Edge Length of Triakis Octahedron (l_e(Pyramid)) and hit the calculate button. Here is how the Total Surface Area of Triakis Octahedron given Pyramidal Edge Length calculation can be explained with given input values -> 384.2259 = 6*(6/(2-sqrt(2)))^2*sqrt(23-(16*sqrt(2))).

FAQ

What is Total Surface Area of Triakis Octahedron given Pyramidal Edge Length?

The Total Surface Area of Triakis Octahedron given Pyramidal Edge Length formula is defined as the total quantity of plane enclosed on the entire surface of the Triakis Octahedron, calculated using the pyramidal edge length of the Triakis Octahedron and is represented as TSA = 6*(l_e(Pyramid)/(2-sqrt(2)))^2*sqrt(23-(16*sqrt(2))) or Total Surface Area of Triakis Octahedron = 6*(Pyramidal Edge Length of Triakis Octahedron/(2-sqrt(2)))^2*sqrt(23-(16*sqrt(2))). Pyramidal Edge Length of Triakis Octahedron is the length of the line connecting any two adjacent vertices of pyramid of Triakis Octahedron.

How to calculate Total Surface Area of Triakis Octahedron given Pyramidal Edge Length?

The Total Surface Area of Triakis Octahedron given Pyramidal Edge Length formula is defined as the total quantity of plane enclosed on the entire surface of the Triakis Octahedron, calculated using the pyramidal edge length of the Triakis Octahedron is calculated using Total Surface Area of Triakis Octahedron = 6*(Pyramidal Edge Length of Triakis Octahedron/(2-sqrt(2)))^2*sqrt(23-(16*sqrt(2))). To calculate Total Surface Area of Triakis Octahedron given Pyramidal Edge Length, you need Pyramidal Edge Length of Triakis Octahedron (l_e(Pyramid)). With our tool, you need to enter the respective value for Pyramidal Edge Length of Triakis Octahedron 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 Octahedron?

In this formula, Total Surface Area of Triakis Octahedron uses Pyramidal Edge Length of Triakis Octahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Total Surface Area of Triakis Octahedron = 6*((6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*Surface to Volume Ratio of Triakis Octahedron))^2*sqrt(23-(16*sqrt(2)))
Total Surface Area of Triakis Octahedron = ((204*Insphere Radius of Triakis Octahedron^2)/(5+(2*sqrt(2))))*sqrt(23-(16*sqrt(2)))
Total Surface Area of Triakis Octahedron = 6*(2*Midsphere Radius of Triakis Octahedron)^2*sqrt(23-(16*sqrt(2)))

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