Circumsphere Radius of Octahedron given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumsphere Radius of Octahedron = ((3*Volume of Octahedron)/sqrt(2))^(1/3)/sqrt(2)
rc = ((3*V)/sqrt(2))^(1/3)/sqrt(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
Circumsphere Radius of Octahedron - (Measured in Meter) - Circumsphere Radius of Octahedron is the radius of the sphere that contains the Octahedron in such a way that all the vertices are lying on the 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
rc = ((3*V)/sqrt(2))^(1/3)/sqrt(2) --> ((3*470)/sqrt(2))^(1/3)/sqrt(2)
Evaluating ... ...
rc = 7.06403822187062
STEP 3: Convert Result to Output's Unit
7.06403822187062 Meter --> No Conversion Required
FINAL ANSWER
7.06403822187062 7.064038 Meter <-- Circumsphere Radius of Octahedron
(Calculation completed in 00.020 seconds)

Credits

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Created by Dhruv Walia
Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
Dhruv Walia has created this Calculator and 1100+ more calculators!
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Verified by Nikhil
Mumbai University (DJSCE), Mumbai
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7 Circumsphere Radius of Octahedron Calculators

Circumsphere Radius of Octahedron given Total Surface Area
​ Go Circumsphere Radius of Octahedron = sqrt(Total Surface Area of Octahedron/(4*sqrt(3)))
Circumsphere Radius of Octahedron given Volume
​ Go Circumsphere Radius of Octahedron = ((3*Volume of Octahedron)/sqrt(2))^(1/3)/sqrt(2)
Circumsphere Radius of Octahedron given Surface to Volume Ratio
​ Go Circumsphere Radius of Octahedron = (3*sqrt(3))/Surface to Volume Ratio of Octahedron
Circumsphere Radius of Octahedron given Midsphere Radius
​ Go Circumsphere Radius of Octahedron = sqrt(2)*Midsphere Radius of Octahedron
Circumsphere Radius of Octahedron given Insphere Radius
​ Go Circumsphere Radius of Octahedron = sqrt(3)*Insphere Radius of Octahedron
Circumsphere Radius of Octahedron
​ Go Circumsphere Radius of Octahedron = Edge Length of Octahedron/sqrt(2)
Circumsphere Radius of Octahedron given Space Diagonal
​ Go Circumsphere Radius of Octahedron = Space Diagonal of Octahedron/2

Circumsphere Radius of Octahedron given Volume Formula

Circumsphere Radius of Octahedron = ((3*Volume of Octahedron)/sqrt(2))^(1/3)/sqrt(2)
rc = ((3*V)/sqrt(2))^(1/3)/sqrt(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 Circumsphere Radius of Octahedron given Volume?

Circumsphere Radius of Octahedron given Volume calculator uses Circumsphere Radius of Octahedron = ((3*Volume of Octahedron)/sqrt(2))^(1/3)/sqrt(2) to calculate the Circumsphere Radius of Octahedron, The Circumsphere Radius of Octahedron given Volume formula is defined as the radius of the sphere that contains the Octahedron in such a way that all the vertices are lying on the sphere, and calculated using the volume of the Octahedron. Circumsphere Radius of Octahedron is denoted by rc symbol.

How to calculate Circumsphere Radius of Octahedron given Volume using this online calculator? To use this online calculator for Circumsphere Radius of Octahedron given Volume, enter Volume of Octahedron (V) and hit the calculate button. Here is how the Circumsphere Radius of Octahedron given Volume calculation can be explained with given input values -> 7.064038 = ((3*470)/sqrt(2))^(1/3)/sqrt(2).

FAQ

What is Circumsphere Radius of Octahedron given Volume?
The Circumsphere Radius of Octahedron given Volume formula is defined as the radius of the sphere that contains the Octahedron in such a way that all the vertices are lying on the sphere, and calculated using the volume of the Octahedron and is represented as rc = ((3*V)/sqrt(2))^(1/3)/sqrt(2) or Circumsphere Radius of Octahedron = ((3*Volume of Octahedron)/sqrt(2))^(1/3)/sqrt(2). Volume of Octahedron is the total quantity of three dimensional space enclosed by the entire surface of the Octahedron.
How to calculate Circumsphere Radius of Octahedron given Volume?
The Circumsphere Radius of Octahedron given Volume formula is defined as the radius of the sphere that contains the Octahedron in such a way that all the vertices are lying on the sphere, and calculated using the volume of the Octahedron is calculated using Circumsphere Radius of Octahedron = ((3*Volume of Octahedron)/sqrt(2))^(1/3)/sqrt(2). To calculate Circumsphere 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 Circumsphere Radius of Octahedron?
In this formula, Circumsphere Radius of Octahedron uses Volume of Octahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Circumsphere Radius of Octahedron = sqrt(3)*Insphere Radius of Octahedron
  • Circumsphere Radius of Octahedron = Edge Length of Octahedron/sqrt(2)
  • Circumsphere Radius of Octahedron = sqrt(2)*Midsphere Radius of Octahedron
  • Circumsphere Radius of Octahedron = sqrt(Total Surface Area of Octahedron/(4*sqrt(3)))
  • Circumsphere Radius of Octahedron = (3*sqrt(3))/Surface to Volume Ratio of Octahedron
  • Circumsphere Radius of Octahedron = Space Diagonal of Octahedron/2
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