Midsphere Radius of Tetrakis Hexahedron given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Midsphere Radius of Tetrakis Hexahedron = 1/sqrt(2)*((2*Volume of Tetrakis Hexahedron)/3)^(1/3)
rm = 1/sqrt(2)*((2*V)/3)^(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 Tetrakis Hexahedron - (Measured in Meter) - Midsphere Radius of Tetrakis Hexahedron is the radius of the sphere for which all the edges of the Tetrakis Hexahedron become a tangent line on that sphere.
Volume of Tetrakis Hexahedron - (Measured in Cubic Meter) - Volume of Tetrakis Hexahedron is the quantity of three-dimensional space enclosed by the entire surface of the Tetrakis Hexahedron.
STEP 1: Convert Input(s) to Base Unit
Volume of Tetrakis Hexahedron: 1500 Cubic Meter --> 1500 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rm = 1/sqrt(2)*((2*V)/3)^(1/3) --> 1/sqrt(2)*((2*1500)/3)^(1/3)
Evaluating ... ...
rm = 7.07106781186547
STEP 3: Convert Result to Output's Unit
7.07106781186547 Meter --> No Conversion Required
FINAL ANSWER
7.07106781186547 7.071068 Meter <-- Midsphere Radius of Tetrakis Hexahedron
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
Shweta Patil has created this Calculator and 2500+ more calculators!
Verifier Image
Verified by Mona Gladys
St Joseph's College (SJC), Bengaluru
Mona Gladys has verified this Calculator and 1800+ more calculators!

Midsphere Radius of Tetrakis Hexahedron Calculators

Midsphere Radius of Tetrakis Hexahedron given Surface to Volume Ratio
​ LaTeX ​ Go Midsphere Radius of Tetrakis Hexahedron = 1/sqrt(2)*((2*sqrt(5))/(Surface to Volume Ratio of Tetrakis Hexahedron))
Midsphere Radius of Tetrakis Hexahedron given Insphere Radius
​ LaTeX ​ Go Midsphere Radius of Tetrakis Hexahedron = 1/sqrt(2)*((10*Insphere Radius of Tetrakis Hexahedron)/(3*sqrt(5)))
Midsphere Radius of Tetrakis Hexahedron given Volume
​ LaTeX ​ Go Midsphere Radius of Tetrakis Hexahedron = 1/sqrt(2)*((2*Volume of Tetrakis Hexahedron)/3)^(1/3)
Midsphere Radius of Tetrakis Hexahedron
​ LaTeX ​ Go Midsphere Radius of Tetrakis Hexahedron = Cubical Edge Length of Tetrakis Hexahedron/sqrt(2)

Midsphere Radius of Tetrakis Hexahedron given Volume Formula

​LaTeX ​Go
Midsphere Radius of Tetrakis Hexahedron = 1/sqrt(2)*((2*Volume of Tetrakis Hexahedron)/3)^(1/3)
rm = 1/sqrt(2)*((2*V)/3)^(1/3)

What is Tetrakis Hexahedron?

In geometry, a Tetrakis Hexahedron (also known as a tetrahexahedron, hextetrahedron, tetrakis cube, and kiscube) is a Catalan solid. Its dual is the truncated octahedron, an Archimedean solid. It can be called a disdyakis hexahedron or hexakis tetrahedron as the dual of an omnitruncated tetrahedron, and as the barycentric subdivision of a tetrahedron. It has 24 faces, 36 edges, 14 vertices.

How to Calculate Midsphere Radius of Tetrakis Hexahedron given Volume?

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

How to calculate Midsphere Radius of Tetrakis Hexahedron given Volume using this online calculator? To use this online calculator for Midsphere Radius of Tetrakis Hexahedron given Volume, enter Volume of Tetrakis Hexahedron (V) and hit the calculate button. Here is how the Midsphere Radius of Tetrakis Hexahedron given Volume calculation can be explained with given input values -> 7.071068 = 1/sqrt(2)*((2*1500)/3)^(1/3).

FAQ

What is Midsphere Radius of Tetrakis Hexahedron given Volume?
Midsphere Radius of Tetrakis Hexahedron given Volume formula is defined as the radius of the sphere for which all the edges of the Tetrakis Hexahedron become a tangent line on that sphere, calculated using volume of Tetrakis Hexahedron and is represented as rm = 1/sqrt(2)*((2*V)/3)^(1/3) or Midsphere Radius of Tetrakis Hexahedron = 1/sqrt(2)*((2*Volume of Tetrakis Hexahedron)/3)^(1/3). Volume of Tetrakis Hexahedron is the quantity of three-dimensional space enclosed by the entire surface of the Tetrakis Hexahedron.
How to calculate Midsphere Radius of Tetrakis Hexahedron given Volume?
Midsphere Radius of Tetrakis Hexahedron given Volume formula is defined as the radius of the sphere for which all the edges of the Tetrakis Hexahedron become a tangent line on that sphere, calculated using volume of Tetrakis Hexahedron is calculated using Midsphere Radius of Tetrakis Hexahedron = 1/sqrt(2)*((2*Volume of Tetrakis Hexahedron)/3)^(1/3). To calculate Midsphere Radius of Tetrakis Hexahedron given Volume, you need Volume of Tetrakis Hexahedron (V). With our tool, you need to enter the respective value for Volume of Tetrakis Hexahedron 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 Tetrakis Hexahedron?
In this formula, Midsphere Radius of Tetrakis Hexahedron uses Volume of Tetrakis Hexahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Midsphere Radius of Tetrakis Hexahedron = Cubical Edge Length of Tetrakis Hexahedron/sqrt(2)
  • Midsphere Radius of Tetrakis Hexahedron = 1/sqrt(2)*((2*sqrt(5))/(Surface to Volume Ratio of Tetrakis Hexahedron))
  • Midsphere Radius of Tetrakis Hexahedron = 1/sqrt(2)*((10*Insphere Radius of Tetrakis Hexahedron)/(3*sqrt(5)))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!