Midsphere Radius 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]

+10%

-10%

✖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 given Volume [r_m]

⎘ Copy

👎

Formula

✖

Midsphere Radius of Triakis Octahedron given Volume

Formula

`"r"_{"m"} = 1/2*(("V")/(2-sqrt(2)))^(1/3)`

Example

`"4.997761m"=1/2*(("585m³")/(2-sqrt(2)))^(1/3)`

Calculator

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Midsphere Radius of Triakis Octahedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Midsphere Radius of Triakis Octahedron = 1/2*((Volume of Triakis Octahedron)/(2-sqrt(2)))^(1/3)
r_m = 1/2*((V)/(2-sqrt(2)))^(1/3)
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

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.
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

r_m = 1/2*((V)/(2-sqrt(2)))^(1/3) --> 1/2*((585)/(2-sqrt(2)))^(1/3)

Evaluating ... ...

r_m = 4.99776144291222

STEP 3: Convert Result to Output's Unit

4.99776144291222 Meter --> No Conversion Required

FINAL ANSWER

4.99776144291222 ≈ 4.997761 Meter <-- Midsphere Radius of Triakis Octahedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » CatalanSolids » Triakis Octahedron » Radius of Triakis Octahedron » Midsphere Radius of Triakis Octahedron » Midsphere Radius of Triakis Octahedron given Volume

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has verified this Calculator and 400+ more calculators!

< 6 Midsphere Radius of Triakis Octahedron Calculators

Midsphere Radius of Triakis Octahedron given Surface to Volume Ratio

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

Midsphere Radius of Triakis Octahedron given Total Surface Area

Go Midsphere Radius of Triakis Octahedron = 1/2*sqrt(Total Surface Area of Triakis Octahedron/(6*sqrt(23-(16*sqrt(2)))))

Midsphere Radius of Triakis Octahedron given Insphere Radius

Go Midsphere Radius of Triakis Octahedron = 1/2*(Insphere Radius of Triakis Octahedron)/(sqrt((5+(2*sqrt(2)))/34))

Midsphere Radius of Triakis Octahedron given Pyramidal Edge Length

Go Midsphere Radius of Triakis Octahedron = Pyramidal Edge Length of Triakis Octahedron/(2*(2-sqrt(2)))

Midsphere Radius of Triakis Octahedron given Volume

Go Midsphere Radius of Triakis Octahedron = 1/2*((Volume of Triakis Octahedron)/(2-sqrt(2)))^(1/3)

Midsphere Radius of Triakis Octahedron

Go Midsphere Radius of Triakis Octahedron = Octahedral Edge Length of Triakis Octahedron/2

Midsphere Radius of Triakis Octahedron given Volume Formula

Midsphere Radius of Triakis Octahedron = 1/2*((Volume of Triakis Octahedron)/(2-sqrt(2)))^(1/3)
r_m = 1/2*((V)/(2-sqrt(2)))^(1/3)

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 Midsphere Radius of Triakis Octahedron given Volume?

Midsphere Radius of Triakis Octahedron given Volume calculator uses Midsphere Radius of Triakis Octahedron = 1/2*((Volume of Triakis Octahedron)/(2-sqrt(2)))^(1/3) to calculate the Midsphere Radius of Triakis Octahedron, Midsphere Radius of Triakis Octahedron given Volume formula is defined as the radius of the sphere for which all the edges of the Triakis Octahedron become a tangent line on that sphere, calculated using the volume of the Triakis Octahedron. Midsphere Radius of Triakis Octahedron is denoted by r_m symbol.

How to calculate Midsphere Radius of Triakis Octahedron given Volume using this online calculator? To use this online calculator for Midsphere Radius of Triakis Octahedron given Volume, enter Volume of Triakis Octahedron (V) and hit the calculate button. Here is how the Midsphere Radius of Triakis Octahedron given Volume calculation can be explained with given input values -> 4.997761 = 1/2*((585)/(2-sqrt(2)))^(1/3).

FAQ

What is Midsphere Radius of Triakis Octahedron given Volume?

Midsphere Radius of Triakis Octahedron given Volume formula is defined as the radius of the sphere for which all the edges of the Triakis Octahedron become a tangent line on that sphere, calculated using the volume of the Triakis Octahedron and is represented as r_m = 1/2*((V)/(2-sqrt(2)))^(1/3) or Midsphere Radius of Triakis Octahedron = 1/2*((Volume of Triakis Octahedron)/(2-sqrt(2)))^(1/3). Volume of Triakis Octahedron is the quantity of three-dimensional space enclosed by the entire surface of the Triakis Octahedron.

How to calculate Midsphere Radius of Triakis Octahedron given Volume?

Midsphere Radius of Triakis Octahedron given Volume formula is defined as the radius of the sphere for which all the edges of the Triakis Octahedron become a tangent line on that sphere, calculated using the volume of the Triakis Octahedron is calculated using Midsphere Radius of Triakis Octahedron = 1/2*((Volume of Triakis Octahedron)/(2-sqrt(2)))^(1/3). To calculate Midsphere Radius 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 Midsphere Radius of Triakis Octahedron?

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

Midsphere Radius of Triakis Octahedron = (3*(sqrt(23-(16*sqrt(2)))))/((2-sqrt(2))*Surface to Volume Ratio of Triakis Octahedron)
Midsphere Radius of Triakis Octahedron = 1/2*(Insphere Radius of Triakis Octahedron)/(sqrt((5+(2*sqrt(2)))/34))
Midsphere Radius of Triakis Octahedron = 1/2*sqrt(Total Surface Area of Triakis Octahedron/(6*sqrt(23-(16*sqrt(2)))))
Midsphere Radius of Triakis Octahedron = Pyramidal Edge Length of Triakis Octahedron/(2*(2-sqrt(2)))
Midsphere Radius of Triakis Octahedron = Octahedral Edge Length of Triakis Octahedron/2

Home

FREE PDFs

🔍 Search