Volume of Triakis Tetrahedron given Midsphere Radius Calculator

✖Midsphere Radius of Triakis Tetrahedron is defined as a straight line connecting center and any point on midsphere of Triakis Tetrahedron.ⓘ Midsphere Radius of Triakis Tetrahedron [r_m]

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✖Volume of Triakis Tetrahedron is the quantity of three dimensional space enclosed by the entire surface of Triakis Tetrahedron.ⓘ Volume of Triakis Tetrahedron given Midsphere Radius [V]

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Volume of Triakis Tetrahedron given Midsphere Radius

Formula

`"V"_{""} = (3/20)*sqrt(2)*((4*"r"_{"m"})/(sqrt(2)))^3`

Example

`"1036.8m³"=(3/20)*sqrt(2)*((4*"6m")/(sqrt(2)))^3`

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Volume of Triakis Tetrahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Triakis Tetrahedron = (3/20)*sqrt(2)*((4*Midsphere Radius of Triakis Tetrahedron)/(sqrt(2)))^3
V = (3/20)*sqrt(2)*((4*r_m)/(sqrt(2)))^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 Tetrahedron - (Measured in Cubic Meter) - Volume of Triakis Tetrahedron is the quantity of three dimensional space enclosed by the entire surface of Triakis Tetrahedron.
Midsphere Radius of Triakis Tetrahedron - (Measured in Meter) - Midsphere Radius of Triakis Tetrahedron is defined as a straight line connecting center and any point on midsphere of Triakis Tetrahedron.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Triakis Tetrahedron: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (3/20)*sqrt(2)*((4*r_m)/(sqrt(2)))^3 --> (3/20)*sqrt(2)*((4*6)/(sqrt(2)))^3

Evaluating ... ...

V = 1036.8

STEP 3: Convert Result to Output's Unit

1036.8 Cubic Meter --> No Conversion Required

FINAL ANSWER

1036.8 Cubic Meter <-- Volume of Triakis Tetrahedron

(Calculation completed in 00.004 seconds)

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< 7 Volume of Triakis Tetrahedron Calculators

Volume of Triakis Tetrahedron given Surface to Volume Ratio

Go Volume of Triakis Tetrahedron = (3/20)*sqrt(2)*((4*sqrt(11))/(Surface to Volume Ratio of Triakis Tetrahedron*sqrt(2)))^3

Volume of Triakis Tetrahedron given Insphere Radius

Go Volume of Triakis Tetrahedron = (3/20)*sqrt(2)*((4*Insphere Radius of Triakis Tetrahedron*sqrt(11))/(3*sqrt(2)))^3

Volume of Triakis Tetrahedron given Total Surface Area

Go Volume of Triakis Tetrahedron = (3/20)*sqrt(2)*((5/3)*(Total Surface Area of Triakis Tetrahedron/sqrt(11)))^(3/2)

Volume of Triakis Tetrahedron given Midsphere Radius

Go Volume of Triakis Tetrahedron = (3/20)*sqrt(2)*((4*Midsphere Radius of Triakis Tetrahedron)/(sqrt(2)))^3

Volume of Triakis Tetrahedron given Height

Go Volume of Triakis Tetrahedron = (3/20)*sqrt(2)*((5/3)*(Height of Triakis Tetrahedron/sqrt(6)))^3

Volume of Triakis Tetrahedron given Pyramidal Edge Length

Go Volume of Triakis Tetrahedron = (3/20)*sqrt(2)*((5/3)*(Pyramidal Edge Length of Triakis Tetrahedron))^3

Volume of Triakis Tetrahedron

Go Volume of Triakis Tetrahedron = (3/20)*((Tetrahedral Edge Length of Triakis Tetrahedron)^3)*sqrt(2)

Volume of Triakis Tetrahedron given Midsphere Radius Formula

Volume of Triakis Tetrahedron = (3/20)*sqrt(2)*((4*Midsphere Radius of Triakis Tetrahedron)/(sqrt(2)))^3
V = (3/20)*sqrt(2)*((4*r_m)/(sqrt(2)))^3

What is Triakis Tetrahedron?

In geometry, a Triakis Tetrahedron (or kistetrahedron[1]) is a Catalan solid with 12 faces. Each Catalan solid is the dual of an Archimedean solid. The dual of the Triakis Tetrahedron is the truncated tetrahedron.
The Triakis Tetrahedron can be seen as a tetrahedron with a triangular pyramid added to each face; that is, it is the Kleetope of the tetrahedron

How to Calculate Volume of Triakis Tetrahedron given Midsphere Radius?

Volume of Triakis Tetrahedron given Midsphere Radius calculator uses Volume of Triakis Tetrahedron = (3/20)*sqrt(2)*((4*Midsphere Radius of Triakis Tetrahedron)/(sqrt(2)))^3 to calculate the Volume of Triakis Tetrahedron, Volume of Triakis Tetrahedron given Midsphere Radius formula is defined as the quantity of three-dimensional space enclosed by the entire surface of Triakis Tetrahedron, and calculated using the midsphere radius of Triakis Tetrahedron. Volume of Triakis Tetrahedron is denoted by V symbol.

How to calculate Volume of Triakis Tetrahedron given Midsphere Radius using this online calculator? To use this online calculator for Volume of Triakis Tetrahedron given Midsphere Radius, enter Midsphere Radius of Triakis Tetrahedron (r_m) and hit the calculate button. Here is how the Volume of Triakis Tetrahedron given Midsphere Radius calculation can be explained with given input values -> 1036.8 = (3/20)*sqrt(2)*((4*6)/(sqrt(2)))^3.

FAQ

What is Volume of Triakis Tetrahedron given Midsphere Radius?

Volume of Triakis Tetrahedron given Midsphere Radius formula is defined as the quantity of three-dimensional space enclosed by the entire surface of Triakis Tetrahedron, and calculated using the midsphere radius of Triakis Tetrahedron and is represented as V = (3/20)*sqrt(2)*((4*r_m)/(sqrt(2)))^3 or Volume of Triakis Tetrahedron = (3/20)*sqrt(2)*((4*Midsphere Radius of Triakis Tetrahedron)/(sqrt(2)))^3. Midsphere Radius of Triakis Tetrahedron is defined as a straight line connecting center and any point on midsphere of Triakis Tetrahedron.

How to calculate Volume of Triakis Tetrahedron given Midsphere Radius?

Volume of Triakis Tetrahedron given Midsphere Radius formula is defined as the quantity of three-dimensional space enclosed by the entire surface of Triakis Tetrahedron, and calculated using the midsphere radius of Triakis Tetrahedron is calculated using Volume of Triakis Tetrahedron = (3/20)*sqrt(2)*((4*Midsphere Radius of Triakis Tetrahedron)/(sqrt(2)))^3. To calculate Volume of Triakis Tetrahedron given Midsphere Radius, you need Midsphere Radius of Triakis Tetrahedron (r_m). With our tool, you need to enter the respective value for Midsphere Radius of Triakis Tetrahedron 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 Tetrahedron?

In this formula, Volume of Triakis Tetrahedron uses Midsphere Radius of Triakis Tetrahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -

Volume of Triakis Tetrahedron = (3/20)*sqrt(2)*((5/3)*(Total Surface Area of Triakis Tetrahedron/sqrt(11)))^(3/2)
Volume of Triakis Tetrahedron = (3/20)*sqrt(2)*((5/3)*(Pyramidal Edge Length of Triakis Tetrahedron))^3
Volume of Triakis Tetrahedron = (3/20)*((Tetrahedral Edge Length of Triakis Tetrahedron)^3)*sqrt(2)
Volume of Triakis Tetrahedron = (3/20)*sqrt(2)*((5/3)*(Height of Triakis Tetrahedron/sqrt(6)))^3
Volume of Triakis Tetrahedron = (3/20)*sqrt(2)*((4*Insphere Radius of Triakis Tetrahedron*sqrt(11))/(3*sqrt(2)))^3
Volume of Triakis Tetrahedron = (3/20)*sqrt(2)*((4*sqrt(11))/(Surface to Volume Ratio of Triakis Tetrahedron*sqrt(2)))^3

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