Total Surface Area of Triakis Octahedron given Volume Calculator

✖Volume of Triakis Octahedron is the quantity of three-dimensional space enclosed by the entire surface of the Triakis Octahedron.ⓘ Volume of Triakis Octahedron [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 Volume [TSA]

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Total Surface Area of Triakis Octahedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Triakis Octahedron = 6*(Volume of Triakis Octahedron/(2-sqrt(2)))^(2/3)*sqrt(23-(16*sqrt(2)))
TSA = 6*(V/(2-sqrt(2)))^(2/3)*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.
Volume of Triakis Octahedron - (Measured in Cubic Meter) - Volume of Triakis Octahedron is the quantity of three-dimensional space enclosed by the entire surface of the Triakis Octahedron.

STEP 1: Convert Input(s) to Base Unit

Volume of Triakis Octahedron: 585 Cubic Meter --> 585 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 6*(V/(2-sqrt(2)))^(2/3)*sqrt(23-(16*sqrt(2))) --> 6*(585/(2-sqrt(2)))^(2/3)*sqrt(23-(16*sqrt(2)))

Evaluating ... ...

TSA = 365.909600968697

STEP 3: Convert Result to Output's Unit

365.909600968697 Square Meter --> No Conversion Required

FINAL ANSWER

365.909600968697 ≈ 365.9096 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 Volume Formula

LaTeX Go

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

Total Surface Area of Triakis Octahedron given Volume calculator uses Total Surface Area of Triakis Octahedron = 6*(Volume of Triakis Octahedron/(2-sqrt(2)))^(2/3)*sqrt(23-(16*sqrt(2))) to calculate the Total Surface Area of Triakis Octahedron, The Total Surface Area of Triakis Octahedron given Volume formula is defined as the total quantity of plane enclosed on the entire surface of the Triakis Octahedron, calculated using the volume 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 Volume using this online calculator? To use this online calculator for Total Surface Area of Triakis Octahedron given Volume, enter Volume of Triakis Octahedron (V) and hit the calculate button. Here is how the Total Surface Area of Triakis Octahedron given Volume calculation can be explained with given input values -> 365.9096 = 6*(585/(2-sqrt(2)))^(2/3)*sqrt(23-(16*sqrt(2))).

FAQ

What is Total Surface Area of Triakis Octahedron given Volume?

The Total Surface Area of Triakis Octahedron given Volume formula is defined as the total quantity of plane enclosed on the entire surface of the Triakis Octahedron, calculated using the volume of the Triakis Octahedron and is represented as TSA = 6*(V/(2-sqrt(2)))^(2/3)*sqrt(23-(16*sqrt(2))) or Total Surface Area of Triakis Octahedron = 6*(Volume of Triakis Octahedron/(2-sqrt(2)))^(2/3)*sqrt(23-(16*sqrt(2))). Volume of Triakis Octahedron is the quantity of three-dimensional space enclosed by the entire surface of the Triakis Octahedron.

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

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