Surface to Volume Ratio of Tetrahedron given Midsphere Radius Calculator

✖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.ⓘ Midsphere Radius of Tetrahedron [r_m]

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✖The Surface to Volume Ratio of Tetrahedron is the numerical ratio of the total surface area to the volume of the Tetrahedron.ⓘ Surface to Volume Ratio of Tetrahedron given Midsphere Radius [R_A/V]

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Surface to Volume Ratio of Tetrahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Tetrahedron = (3*sqrt(3))/Midsphere Radius of Tetrahedron
R_A/V = (3*sqrt(3))/r_m
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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Tetrahedron: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = (3*sqrt(3))/r_m --> (3*sqrt(3))/4

Evaluating ... ...

R_A/V = 1.29903810567666

STEP 3: Convert Result to Output's Unit

1.29903810567666 1 per Meter --> No Conversion Required

FINAL ANSWER

1.29903810567666 ≈ 1.299038 1 per Meter <-- Surface to Volume Ratio of Tetrahedron

(Calculation completed in 00.004 seconds)

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Created by Divanshi Jain

Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka

Divanshi Jain has created this Calculator and 300+ more calculators!

Verified by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< Surface to Volume Ratio of Tetrahedron Calculators

Surface to Volume Ratio of Tetrahedron given Midsphere Radius

LaTeX Go Surface to Volume Ratio of Tetrahedron = (3*sqrt(3))/Midsphere Radius of Tetrahedron

Surface to Volume Ratio of Tetrahedron

LaTeX Go Surface to Volume Ratio of Tetrahedron = (6*sqrt(6))/Edge Length of Tetrahedron

Surface to Volume Ratio of Tetrahedron given Circumsphere Radius

LaTeX Go Surface to Volume Ratio of Tetrahedron = 9/Circumsphere Radius of Tetrahedron

Surface to Volume Ratio of Tetrahedron given Insphere Radius

LaTeX Go Surface to Volume Ratio of Tetrahedron = 3/Insphere Radius of Tetrahedron

Surface to Volume Ratio of Tetrahedron given Midsphere Radius Formula

LaTeX Go

Surface to Volume Ratio of Tetrahedron = (3*sqrt(3))/Midsphere Radius of Tetrahedron
R_A/V = (3*sqrt(3))/r_m

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 Midsphere Radius?

Surface to Volume Ratio of Tetrahedron given Midsphere Radius calculator uses Surface to Volume Ratio of Tetrahedron = (3*sqrt(3))/Midsphere Radius of Tetrahedron to calculate the Surface to Volume Ratio of Tetrahedron, The Surface to Volume Ratio of Tetrahedron given Midsphere Radius formula is defined as the numerical ratio of the total surface area to the volume of the Tetrahedron, calculated using midsphere radius of Tetrahedron. Surface to Volume Ratio of Tetrahedron is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Tetrahedron given Midsphere Radius using this online calculator? To use this online calculator for Surface to Volume Ratio of Tetrahedron given Midsphere Radius, enter Midsphere Radius of Tetrahedron (r_m) and hit the calculate button. Here is how the Surface to Volume Ratio of Tetrahedron given Midsphere Radius calculation can be explained with given input values -> 1.299038 = (3*sqrt(3))/4.

FAQ

What is Surface to Volume Ratio of Tetrahedron given Midsphere Radius?

The Surface to Volume Ratio of Tetrahedron given Midsphere Radius formula is defined as the numerical ratio of the total surface area to the volume of the Tetrahedron, calculated using midsphere radius of Tetrahedron and is represented as R_A/V = (3*sqrt(3))/r_m or Surface to Volume Ratio of Tetrahedron = (3*sqrt(3))/Midsphere Radius of Tetrahedron. 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.

How to calculate Surface to Volume Ratio of Tetrahedron given Midsphere Radius?

The Surface to Volume Ratio of Tetrahedron given Midsphere Radius formula is defined as the numerical ratio of the total surface area to the volume of the Tetrahedron, calculated using midsphere radius of Tetrahedron is calculated using Surface to Volume Ratio of Tetrahedron = (3*sqrt(3))/Midsphere Radius of Tetrahedron. To calculate Surface to Volume Ratio of Tetrahedron given Midsphere Radius, you need Midsphere Radius of Tetrahedron (r_m). With our tool, you need to enter the respective value for Midsphere 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 Midsphere Radius of Tetrahedron. We can use 3 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 = 9/Circumsphere Radius of Tetrahedron
Surface to Volume Ratio of Tetrahedron = 3/Insphere Radius of Tetrahedron

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