Midsphere Radius of Octahedron given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Midsphere Radius of Octahedron = ((3*Volume of Octahedron)/sqrt(2))^(1/3)/2
rm = ((3*V)/sqrt(2))^(1/3)/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
Midsphere Radius of Octahedron - (Measured in Meter) - Midsphere Radius of Octahedron is the radius of the sphere for which all the edges of the Octahedron become a tangent line to that sphere.
Volume of Octahedron - (Measured in Cubic Meter) - Volume of Octahedron is the total quantity of three dimensional space enclosed by the entire surface of the Octahedron.
STEP 1: Convert Input(s) to Base Unit
Volume of Octahedron: 470 Cubic Meter --> 470 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rm = ((3*V)/sqrt(2))^(1/3)/2 --> ((3*470)/sqrt(2))^(1/3)/2
Evaluating ... ...
rm = 4.99502932924568
STEP 3: Convert Result to Output's Unit
4.99502932924568 Meter --> No Conversion Required
FINAL ANSWER
4.99502932924568 4.995029 Meter <-- Midsphere Radius of Octahedron
(Calculation completed in 00.004 seconds)

Credits

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Created by Dhruv Walia
Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
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Mumbai University (DJSCE), Mumbai
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7 Midsphere Radius of Octahedron Calculators

Midsphere Radius of Octahedron given Total Surface Area
​ Go Midsphere Radius of Octahedron = sqrt(Total Surface Area of Octahedron/(2*sqrt(3)))/2
Midsphere Radius of Octahedron given Surface to Volume Ratio
​ Go Midsphere Radius of Octahedron = (3*sqrt(6))/(2*Surface to Volume Ratio of Octahedron)
Midsphere Radius of Octahedron given Volume
​ Go Midsphere Radius of Octahedron = ((3*Volume of Octahedron)/sqrt(2))^(1/3)/2
Midsphere Radius of Octahedron given Circumsphere Radius
​ Go Midsphere Radius of Octahedron = Circumsphere Radius of Octahedron/sqrt(2)
Midsphere Radius of Octahedron given Space Diagonal
​ Go Midsphere Radius of Octahedron = Space Diagonal of Octahedron/(2*sqrt(2))
Midsphere Radius of Octahedron given Insphere Radius
​ Go Midsphere Radius of Octahedron = sqrt(3/2)*Insphere Radius of Octahedron
Midsphere Radius of Octahedron
​ Go Midsphere Radius of Octahedron = Edge Length of Octahedron/2

Midsphere Radius of Octahedron given Volume Formula

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

What is an Octahedron?

An Octahedron is a symmetric and closed three dimensional shape with 8 identical equilateral triangular faces. It is a Platonic solid, which has 8 faces, 6 vertices and 12 edges. At each vertex, four equilateral triangular faces meet and at each edge, two equilateral triangular faces meet.

What are Platonic Solids?

In three-dimensional space, a Platonic solid is a regular, convex polyhedron. It is constructed by congruent (identical in shape and size), regular (all angles equal and all sides equal), polygonal faces with the same number of faces meeting at each vertex. Five solids who meet this criteria are Tetrahedron {3,3} , Cube {4,3} , Octahedron {3,4} , Dodecahedron {5,3} , Icosahedron {3,5} ; where in {p, q}, p represents the number of edges in a face and q represents the number of edges meeting at a vertex; {p, q} is the Schläfli symbol.

How to Calculate Midsphere Radius of Octahedron given Volume?

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

How to calculate Midsphere Radius of Octahedron given Volume using this online calculator? To use this online calculator for Midsphere Radius of Octahedron given Volume, enter Volume of Octahedron (V) and hit the calculate button. Here is how the Midsphere Radius of Octahedron given Volume calculation can be explained with given input values -> 4.995029 = ((3*470)/sqrt(2))^(1/3)/2.

FAQ

What is Midsphere Radius of Octahedron given Volume?
Midsphere Radius of Octahedron given Volume formula is defined as the radius of the sphere for which all the edges of the Octahedron become a tangent line on that sphere, and is calculated using the volume of the Octahedron and is represented as rm = ((3*V)/sqrt(2))^(1/3)/2 or Midsphere Radius of Octahedron = ((3*Volume of Octahedron)/sqrt(2))^(1/3)/2. Volume of Octahedron is the total quantity of three dimensional space enclosed by the entire surface of the Octahedron.
How to calculate Midsphere Radius of Octahedron given Volume?
Midsphere Radius of Octahedron given Volume formula is defined as the radius of the sphere for which all the edges of the Octahedron become a tangent line on that sphere, and is calculated using the volume of the Octahedron is calculated using Midsphere Radius of Octahedron = ((3*Volume of Octahedron)/sqrt(2))^(1/3)/2. To calculate Midsphere Radius of Octahedron given Volume, you need Volume of Octahedron (V). With our tool, you need to enter the respective value for Volume of 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 Octahedron?
In this formula, Midsphere Radius of Octahedron uses Volume of Octahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Midsphere Radius of Octahedron = Edge Length of Octahedron/2
  • Midsphere Radius of Octahedron = Circumsphere Radius of Octahedron/sqrt(2)
  • Midsphere Radius of Octahedron = sqrt(3/2)*Insphere Radius of Octahedron
  • Midsphere Radius of Octahedron = (3*sqrt(6))/(2*Surface to Volume Ratio of Octahedron)
  • Midsphere Radius of Octahedron = Space Diagonal of Octahedron/(2*sqrt(2))
  • Midsphere Radius of Octahedron = sqrt(Total Surface Area of Octahedron/(2*sqrt(3)))/2
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