Volume of Triakis Octahedron given Midsphere Radius Calculator

✖Midsphere Radius of Triakis Octahedron is the radius of the sphere for which all the edges of the Triakis Octahedron become a tangent line on that sphere.ⓘ Midsphere Radius of Triakis Octahedron [r_m]

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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 Midsphere Radius [V]

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Volume of Triakis Octahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Triakis Octahedron = (2-sqrt(2))*(2*Midsphere Radius of Triakis Octahedron)^3
V = (2-sqrt(2))*(2*r_m)^3
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.
Midsphere Radius of Triakis Octahedron - (Measured in Meter) - Midsphere Radius of Triakis Octahedron is the radius of the sphere for which all the edges of the Triakis Octahedron become a tangent line on that sphere.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Triakis Octahedron: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (2-sqrt(2))*(2*r_m)^3 --> (2-sqrt(2))*(2*5)^3

Evaluating ... ...

V = 585.786437626905

STEP 3: Convert Result to Output's Unit

585.786437626905 Cubic Meter --> No Conversion Required

FINAL ANSWER

585.786437626905 ≈ 585.7864 Cubic Meter <-- Volume of Triakis Octahedron

(Calculation completed in 00.004 seconds)

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< Volume of Triakis Octahedron Calculators

Volume of Triakis Octahedron given Total Surface Area

LaTeX 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 Pyramidal Edge Length

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

Volume of Triakis Octahedron

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

Volume of Triakis Octahedron given Midsphere Radius

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

Volume of Triakis Octahedron given Midsphere Radius Formula

LaTeX Go

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

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 Midsphere Radius?

Volume of Triakis Octahedron given Midsphere Radius calculator uses Volume of Triakis Octahedron = (2-sqrt(2))*(2*Midsphere Radius of Triakis Octahedron)^3 to calculate the Volume of Triakis Octahedron, The Volume of Triakis Octahedron given Midsphere Radius formula is defined as the quantity of three-dimensional space enclosed by the entire surface of the Triakis Octahedron, calculated using the midsphere radius of the Triakis Octahedron. Volume of Triakis Octahedron is denoted by V symbol.

How to calculate Volume of Triakis Octahedron given Midsphere Radius using this online calculator? To use this online calculator for Volume of Triakis Octahedron given Midsphere Radius, enter Midsphere Radius of Triakis Octahedron (r_m) and hit the calculate button. Here is how the Volume of Triakis Octahedron given Midsphere Radius calculation can be explained with given input values -> 585.7864 = (2-sqrt(2))*(2*5)^3.

FAQ

What is Volume of Triakis Octahedron given Midsphere Radius?

The Volume of Triakis Octahedron given Midsphere Radius formula is defined as the quantity of three-dimensional space enclosed by the entire surface of the Triakis Octahedron, calculated using the midsphere radius of the Triakis Octahedron and is represented as V = (2-sqrt(2))*(2*r_m)^3 or Volume of Triakis Octahedron = (2-sqrt(2))*(2*Midsphere Radius of Triakis Octahedron)^3. Midsphere Radius of Triakis Octahedron is the radius of the sphere for which all the edges of the Triakis Octahedron become a tangent line on that sphere.

How to calculate Volume of Triakis Octahedron given Midsphere Radius?

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

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