## Midsphere Radius of Tetrahedron given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Midsphere Radius of Tetrahedron = (6*sqrt(2)*Volume of Tetrahedron)^(1/3)/(2*sqrt(2))
rm = (6*sqrt(2)*V)^(1/3)/(2*sqrt(2))
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Square root function, sqrt(Number)
Variables Used
Midsphere Radius of Tetrahedron - (Measured in Meter) - Midsphere Radius of Tetrahedron is the radius of the sphere for which all the edges of the Tetrahedron become a tangent line to that sphere.
Volume of Tetrahedron - (Measured in Cubic Meter) - Volume of Tetrahedron is the total quantity of three dimensional space enclosed by the surface of the Tetrahedron.
STEP 1: Convert Input(s) to Base Unit
Volume of Tetrahedron: 120 Cubic Meter --> 120 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rm = (6*sqrt(2)*V)^(1/3)/(2*sqrt(2)) --> (6*sqrt(2)*120)^(1/3)/(2*sqrt(2))
Evaluating ... ...
rm = 3.55689330449006
STEP 3: Convert Result to Output's Unit
3.55689330449006 Meter --> No Conversion Required
3.55689330449006 3.556893 Meter <-- Midsphere Radius of Tetrahedron
(Calculation completed in 00.003 seconds)
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## < 8 Midsphere Radius of Tetrahedron Calculators

Midsphere Radius of Tetrahedron given Total Surface Area
Midsphere Radius of Tetrahedron = sqrt(Total Surface Area of Tetrahedron/(sqrt(3)))/(2*sqrt(2))
Midsphere Radius of Tetrahedron given Face Area
Midsphere Radius of Tetrahedron = sqrt((4*Face Area of Tetrahedron)/sqrt(3))/(2*sqrt(2))
Midsphere Radius of Tetrahedron given Volume
Midsphere Radius of Tetrahedron = (6*sqrt(2)*Volume of Tetrahedron)^(1/3)/(2*sqrt(2))
Midsphere Radius of Tetrahedron given Height
Midsphere Radius of Tetrahedron = sqrt(3/2)*Height of Tetrahedron/(2*sqrt(2))
Midsphere Radius of Tetrahedron given Surface to Volume Ratio
Midsphere Radius of Tetrahedron = (3*sqrt(3))/Surface to Volume Ratio of Tetrahedron
Midsphere Radius of Tetrahedron = Edge Length of Tetrahedron/(2*sqrt(2))

## Midsphere Radius of Tetrahedron given Volume Formula

Midsphere Radius of Tetrahedron = (6*sqrt(2)*Volume of Tetrahedron)^(1/3)/(2*sqrt(2))
rm = (6*sqrt(2)*V)^(1/3)/(2*sqrt(2))

## What is a Tetrahedron?

A Tetrahedron is a symmetric and closed three dimensional shape with 4 identical equilateral triangular faces. It is a Platonic solid, which has 4 faces, 4 vertices and 6 edges. At each vertex, three 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 Tetrahedron given Volume?

Midsphere Radius of Tetrahedron given Volume calculator uses Midsphere Radius of Tetrahedron = (6*sqrt(2)*Volume of Tetrahedron)^(1/3)/(2*sqrt(2)) to calculate the Midsphere Radius of Tetrahedron, The Midsphere Radius of Tetrahedron given Volume formula is defined as the radius of the sphere for which all the edges of the Tetrahedron become a tangent line to that sphere, calculated using volume of Tetrahedron. Midsphere Radius of Tetrahedron is denoted by rm symbol.

How to calculate Midsphere Radius of Tetrahedron given Volume using this online calculator? To use this online calculator for Midsphere Radius of Tetrahedron given Volume, enter Volume of Tetrahedron (V) and hit the calculate button. Here is how the Midsphere Radius of Tetrahedron given Volume calculation can be explained with given input values -> 3.556893 = (6*sqrt(2)*120)^(1/3)/(2*sqrt(2)).

### FAQ

What is Midsphere Radius of Tetrahedron given Volume?
The Midsphere Radius of Tetrahedron given Volume formula is defined as the radius of the sphere for which all the edges of the Tetrahedron become a tangent line to that sphere, calculated using volume of Tetrahedron and is represented as rm = (6*sqrt(2)*V)^(1/3)/(2*sqrt(2)) or Midsphere Radius of Tetrahedron = (6*sqrt(2)*Volume of Tetrahedron)^(1/3)/(2*sqrt(2)). Volume of Tetrahedron is the total quantity of three dimensional space enclosed by the surface of the Tetrahedron.
How to calculate Midsphere Radius of Tetrahedron given Volume?
The Midsphere Radius of Tetrahedron given Volume formula is defined as the radius of the sphere for which all the edges of the Tetrahedron become a tangent line to that sphere, calculated using volume of Tetrahedron is calculated using Midsphere Radius of Tetrahedron = (6*sqrt(2)*Volume of Tetrahedron)^(1/3)/(2*sqrt(2)). To calculate Midsphere Radius of Tetrahedron given Volume, you need Volume of Tetrahedron (V). With our tool, you need to enter the respective value for Volume of 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 Midsphere Radius of Tetrahedron?
In this formula, Midsphere Radius of Tetrahedron uses Volume of Tetrahedron. We can use 7 other way(s) to calculate the same, which is/are as follows -
• Midsphere Radius of Tetrahedron = Edge Length of Tetrahedron/(2*sqrt(2))