Total Surface Area of Triakis Octahedron given Surface to Volume Ratio Calculator

✖Surface to Volume Ratio of Triakis Octahedron is the numerical ratio of the total surface area of the Triakis Octahedron to the volume of the Triakis Octahedron.ⓘ Surface to Volume Ratio of Triakis Octahedron [R_A/V]

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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 Surface to Volume Ratio [TSA]

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Total Surface Area of Triakis Octahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
TSA = 6*((6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*R_A/V))^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.
Surface to Volume Ratio of Triakis Octahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Triakis Octahedron is the numerical ratio of the total surface area of the Triakis Octahedron to the volume of the Triakis Octahedron.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Triakis Octahedron: 0.6 1 per Meter --> 0.6 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 6*((6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*R_A/V))^2*sqrt(23-(16*sqrt(2))) --> 6*((6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*0.6))^2*sqrt(23-(16*sqrt(2)))

Evaluating ... ...

TSA = 397.655672390558

STEP 3: Convert Result to Output's Unit

397.655672390558 Square Meter --> No Conversion Required

FINAL ANSWER

397.655672390558 ≈ 397.6557 Square Meter <-- Total Surface Area of Triakis Octahedron

(Calculation completed in 00.004 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 Surface to Volume Ratio Formula

LaTeX Go

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 Surface to Volume Ratio?

Total Surface Area of Triakis Octahedron given Surface to Volume Ratio calculator uses 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))) to calculate the Total Surface Area of Triakis Octahedron, The Total Surface Area of Triakis Octahedron given Surface to Volume Ratio formula is defined as the total quantity of plane enclosed on the entire surface of the Triakis Octahedron, calculated using surface to volume ratio 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 Surface to Volume Ratio using this online calculator? To use this online calculator for Total Surface Area of Triakis Octahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Triakis Octahedron (R_A/V) and hit the calculate button. Here is how the Total Surface Area of Triakis Octahedron given Surface to Volume Ratio calculation can be explained with given input values -> 397.6557 = 6*((6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*0.6))^2*sqrt(23-(16*sqrt(2))).

FAQ

What is Total Surface Area of Triakis Octahedron given Surface to Volume Ratio?

The Total Surface Area of Triakis Octahedron given Surface to Volume Ratio formula is defined as the total quantity of plane enclosed on the entire surface of the Triakis Octahedron, calculated using surface to volume ratio of the Triakis Octahedron and is represented as TSA = 6*((6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*R_A/V))^2*sqrt(23-(16*sqrt(2))) or 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))). Surface to Volume Ratio of Triakis Octahedron is the numerical ratio of the total surface area of the Triakis Octahedron to the volume of the Triakis Octahedron.

How to calculate Total Surface Area of Triakis Octahedron given Surface to Volume Ratio?

The Total Surface Area of Triakis Octahedron given Surface to Volume Ratio formula is defined as the total quantity of plane enclosed on the entire surface of the Triakis Octahedron, calculated using surface to volume ratio of the Triakis Octahedron is calculated using 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))). To calculate Total Surface Area of Triakis Octahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Triakis Octahedron (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio 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 Surface to Volume Ratio 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 = ((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)))
Total Surface Area of Triakis Octahedron = 6*(Volume of Triakis Octahedron/(2-sqrt(2)))^(2/3)*sqrt(23-(16*sqrt(2)))

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