Surface to Volume Ratio of Tetrahedron given Circumsphere Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Surface to Volume Ratio of Tetrahedron = 9/Circumsphere Radius of Tetrahedron
RA/V = 9/rc
This formula uses 2 Variables
Variables Used
Surface to Volume Ratio of Tetrahedron - (Measured in 1 per Meter) - The Surface to Volume Ratio of Tetrahedron is the numerical ratio of the total surface area to the volume of the Tetrahedron.
Circumsphere Radius of Tetrahedron - (Measured in Meter) - Circumsphere Radius of Tetrahedron is the radius of the sphere that contains the Tetrahedron in such a way that all the vertices are lying on the sphere.
STEP 1: Convert Input(s) to Base Unit
Circumsphere Radius of Tetrahedron: 6 Meter --> 6 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
RA/V = 9/rc --> 9/6
Evaluating ... ...
RA/V = 1.5
STEP 3: Convert Result to Output's Unit
1.5 1 per Meter --> No Conversion Required
FINAL ANSWER
1.5 1 per Meter <-- Surface to Volume Ratio of Tetrahedron
(Calculation completed in 00.004 seconds)

Credits

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Created by Divanshi Jain
Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka
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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
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8 Surface to Volume Ratio of Tetrahedron Calculators

Surface to Volume Ratio of Tetrahedron given Total Surface Area
​ Go Surface to Volume Ratio of Tetrahedron = (6*sqrt(6))/sqrt(Total Surface Area of Tetrahedron/(sqrt(3)))
Surface to Volume Ratio of Tetrahedron given Face Area
​ Go Surface to Volume Ratio of Tetrahedron = (6*sqrt(6))/sqrt((4*Face Area of Tetrahedron)/sqrt(3))
Surface to Volume Ratio of Tetrahedron given Volume
​ Go Surface to Volume Ratio of Tetrahedron = (6*sqrt(6))/(6*sqrt(2)*Volume of Tetrahedron)^(1/3)
Surface to Volume Ratio of Tetrahedron given Midsphere Radius
​ Go Surface to Volume Ratio of Tetrahedron = (3*sqrt(3))/Midsphere Radius of Tetrahedron
Surface to Volume Ratio of Tetrahedron
​ Go Surface to Volume Ratio of Tetrahedron = (6*sqrt(6))/Edge Length of Tetrahedron
Surface to Volume Ratio of Tetrahedron given Circumsphere Radius
​ Go Surface to Volume Ratio of Tetrahedron = 9/Circumsphere Radius of Tetrahedron
Surface to Volume Ratio of Tetrahedron given Insphere Radius
​ Go Surface to Volume Ratio of Tetrahedron = 3/Insphere Radius of Tetrahedron
Surface to Volume Ratio of Tetrahedron given Height
​ Go Surface to Volume Ratio of Tetrahedron = 12/Height of Tetrahedron

Surface to Volume Ratio of Tetrahedron given Circumsphere Radius Formula

Surface to Volume Ratio of Tetrahedron = 9/Circumsphere Radius of Tetrahedron
RA/V = 9/rc

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 Surface to Volume Ratio of Tetrahedron given Circumsphere Radius?

Surface to Volume Ratio of Tetrahedron given Circumsphere Radius calculator uses Surface to Volume Ratio of Tetrahedron = 9/Circumsphere Radius of Tetrahedron to calculate the Surface to Volume Ratio of Tetrahedron, The Surface to Volume Ratio of Tetrahedron given Circumsphere Radius formula is defined as the numerical ratio of the total surface area to the volume of the Tetrahedron, calculated using circumsphere radius of Tetrahedron. Surface to Volume Ratio of Tetrahedron is denoted by RA/V symbol.

How to calculate Surface to Volume Ratio of Tetrahedron given Circumsphere Radius using this online calculator? To use this online calculator for Surface to Volume Ratio of Tetrahedron given Circumsphere Radius, enter Circumsphere Radius of Tetrahedron (rc) and hit the calculate button. Here is how the Surface to Volume Ratio of Tetrahedron given Circumsphere Radius calculation can be explained with given input values -> 1.5 = 9/6.

FAQ

What is Surface to Volume Ratio of Tetrahedron given Circumsphere Radius?
The Surface to Volume Ratio of Tetrahedron given Circumsphere Radius formula is defined as the numerical ratio of the total surface area to the volume of the Tetrahedron, calculated using circumsphere radius of Tetrahedron and is represented as RA/V = 9/rc or Surface to Volume Ratio of Tetrahedron = 9/Circumsphere Radius of Tetrahedron. Circumsphere Radius of Tetrahedron is the radius of the sphere that contains the Tetrahedron in such a way that all the vertices are lying on the sphere.
How to calculate Surface to Volume Ratio of Tetrahedron given Circumsphere Radius?
The Surface to Volume Ratio of Tetrahedron given Circumsphere Radius formula is defined as the numerical ratio of the total surface area to the volume of the Tetrahedron, calculated using circumsphere radius of Tetrahedron is calculated using Surface to Volume Ratio of Tetrahedron = 9/Circumsphere Radius of Tetrahedron. To calculate Surface to Volume Ratio of Tetrahedron given Circumsphere Radius, you need Circumsphere Radius of Tetrahedron (rc). With our tool, you need to enter the respective value for Circumsphere Radius 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 Surface to Volume Ratio of Tetrahedron?
In this formula, Surface to Volume Ratio of Tetrahedron uses Circumsphere Radius of Tetrahedron. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • Surface to Volume Ratio of Tetrahedron = (6*sqrt(6))/Edge Length of Tetrahedron
  • Surface to Volume Ratio of Tetrahedron = 3/Insphere Radius of Tetrahedron
  • Surface to Volume Ratio of Tetrahedron = (3*sqrt(3))/Midsphere Radius of Tetrahedron
  • Surface to Volume Ratio of Tetrahedron = (6*sqrt(6))/sqrt((4*Face Area of Tetrahedron)/sqrt(3))
  • Surface to Volume Ratio of Tetrahedron = (6*sqrt(6))/sqrt(Total Surface Area of Tetrahedron/(sqrt(3)))
  • Surface to Volume Ratio of Tetrahedron = (6*sqrt(6))/(6*sqrt(2)*Volume of Tetrahedron)^(1/3)
  • Surface to Volume Ratio of Tetrahedron = 12/Height of Tetrahedron
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