Volume of Triakis Octahedron given Total Surface Area Calculator

✖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 [TSA]

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✖Volume of Triakis Octahedron is the quantity of three-dimensional space enclosed by the entire surface of the Triakis Octahedron.ⓘ Volume of Triakis Octahedron given Total Surface Area [V]

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Formula

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Volume of Triakis Octahedron given Total Surface Area

Formula

`"V" = (2-sqrt(2))*(("TSA")/(6*sqrt(23-(16*sqrt(2)))))^(3/2)`

Example

`"594.8367m³"=(2-sqrt(2))*(("370m²")/(6*sqrt(23-(16*sqrt(2)))))^(3/2)`

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Volume of Triakis Octahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Triakis Octahedron: 370 Square Meter --> 370 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (2-sqrt(2))*((TSA)/(6*sqrt(23-(16*sqrt(2)))))^(3/2) --> (2-sqrt(2))*((370)/(6*sqrt(23-(16*sqrt(2)))))^(3/2)

Evaluating ... ...

V = 594.836685180783

STEP 3: Convert Result to Output's Unit

594.836685180783 Cubic Meter --> No Conversion Required

FINAL ANSWER

594.836685180783 ≈ 594.8367 Cubic Meter <-- Volume of Triakis Octahedron

(Calculation completed in 00.004 seconds)

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< 6 Volume of Triakis Octahedron Calculators

Volume of Triakis Octahedron given Surface to Volume Ratio

Go Volume of Triakis Octahedron = (2-sqrt(2))*((6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*Surface to Volume Ratio of Triakis Octahedron))^3

Volume of Triakis Octahedron given Total Surface Area

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

Volume of Triakis Octahedron given Insphere Radius

Go Volume of Triakis Octahedron = (2-sqrt(2))*((Insphere Radius of Triakis Octahedron)/(sqrt((5+(2*sqrt(2)))/34)))^3

Volume of Triakis Octahedron given Pyramidal Edge Length

Go Volume of Triakis Octahedron = (2-sqrt(2))*((Pyramidal Edge Length of Triakis Octahedron)/(2-sqrt(2)))^3

Volume of Triakis Octahedron

Go Volume of Triakis Octahedron = (2-sqrt(2))*Octahedral Edge Length of Triakis Octahedron^3

Volume of Triakis Octahedron given Midsphere Radius

Go Volume of Triakis Octahedron = (2-sqrt(2))*(2*Midsphere Radius of Triakis Octahedron)^3

Volume of Triakis Octahedron given Total Surface Area Formula

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

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 Volume of Triakis Octahedron given Total Surface Area?

Volume of Triakis Octahedron given Total Surface Area calculator uses Volume of Triakis Octahedron = (2-sqrt(2))*((Total Surface Area of Triakis Octahedron)/(6*sqrt(23-(16*sqrt(2)))))^(3/2) to calculate the Volume of Triakis Octahedron, The Volume of Triakis Octahedron given Total Surface Area formula is defined as the quantity of three-dimensional space enclosed by the entire surface of the Triakis Octahedron, calculated using the total surface area of the Triakis Octahedron. Volume of Triakis Octahedron is denoted by V symbol.

How to calculate Volume of Triakis Octahedron given Total Surface Area using this online calculator? To use this online calculator for Volume of Triakis Octahedron given Total Surface Area, enter Total Surface Area of Triakis Octahedron (TSA) and hit the calculate button. Here is how the Volume of Triakis Octahedron given Total Surface Area calculation can be explained with given input values -> 594.8367 = (2-sqrt(2))*((370)/(6*sqrt(23-(16*sqrt(2)))))^(3/2).

FAQ

What is Volume of Triakis Octahedron given Total Surface Area?

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

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

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

In this formula, Volume of Triakis Octahedron uses Total Surface Area of Triakis Octahedron. We can use 5 other way(s) to calculate the same, which is/are as follows -

Volume of Triakis Octahedron = (2-sqrt(2))*Octahedral Edge Length of Triakis Octahedron^3
Volume of Triakis Octahedron = (2-sqrt(2))*((Pyramidal Edge Length of Triakis Octahedron)/(2-sqrt(2)))^3
Volume of Triakis Octahedron = (2-sqrt(2))*(2*Midsphere Radius of Triakis Octahedron)^3
Volume of Triakis Octahedron = (2-sqrt(2))*((Insphere Radius of Triakis Octahedron)/(sqrt((5+(2*sqrt(2)))/34)))^3
Volume of Triakis Octahedron = (2-sqrt(2))*((6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*Surface to Volume Ratio of Triakis Octahedron))^3

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