Surface to Volume Ratio of Tetrahedron Solution

STEP 0: Pre-Calculation Summary
Formula Used
Surface to Volume Ratio of Tetrahedron = (6*sqrt(6))/Edge Length of Tetrahedron
RA/V = (6*sqrt(6))/le
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.
Edge Length of Tetrahedron - (Measured in Meter) - Edge Length of Tetrahedron is the length of any of edges of the Tetrahedron or the distance between any pair of adjacent vertices of the Tetrahedron.
STEP 1: Convert Input(s) to Base Unit
Edge Length of Tetrahedron: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
RA/V = (6*sqrt(6))/le --> (6*sqrt(6))/10
Evaluating ... ...
RA/V = 1.46969384566991
STEP 3: Convert Result to Output's Unit
1.46969384566991 1 per Meter --> No Conversion Required
FINAL ANSWER
1.46969384566991 1.469694 1 per Meter <-- Surface to Volume Ratio of Tetrahedron
(Calculation completed in 00.004 seconds)

Credits

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
Dhruv Walia has verified this Calculator and 400+ more calculators!

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 Formula

Surface to Volume Ratio of Tetrahedron = (6*sqrt(6))/Edge Length of Tetrahedron
RA/V = (6*sqrt(6))/le

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?

Surface to Volume Ratio of Tetrahedron calculator uses Surface to Volume Ratio of Tetrahedron = (6*sqrt(6))/Edge Length of Tetrahedron to calculate the Surface to Volume Ratio of Tetrahedron, The Surface to Volume Ratio of Tetrahedron formula is defined as the numerical ratio of the total surface area to the volume of the Tetrahedron. Surface to Volume Ratio of Tetrahedron is denoted by RA/V symbol.

How to calculate Surface to Volume Ratio of Tetrahedron using this online calculator? To use this online calculator for Surface to Volume Ratio of Tetrahedron, enter Edge Length of Tetrahedron (le) and hit the calculate button. Here is how the Surface to Volume Ratio of Tetrahedron calculation can be explained with given input values -> 1.469694 = (6*sqrt(6))/10.

FAQ

What is Surface to Volume Ratio of Tetrahedron?
The Surface to Volume Ratio of Tetrahedron formula is defined as the numerical ratio of the total surface area to the volume of the Tetrahedron and is represented as RA/V = (6*sqrt(6))/le or Surface to Volume Ratio of Tetrahedron = (6*sqrt(6))/Edge Length of Tetrahedron. Edge Length of Tetrahedron is the length of any of edges of the Tetrahedron or the distance between any pair of adjacent vertices of the Tetrahedron.
How to calculate Surface to Volume Ratio of Tetrahedron?
The Surface to Volume Ratio of Tetrahedron formula is defined as the numerical ratio of the total surface area to the volume of the Tetrahedron is calculated using Surface to Volume Ratio of Tetrahedron = (6*sqrt(6))/Edge Length of Tetrahedron. To calculate Surface to Volume Ratio of Tetrahedron, you need Edge Length of Tetrahedron (le). With our tool, you need to enter the respective value for Edge Length 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 Edge Length of Tetrahedron. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • Surface to Volume Ratio of Tetrahedron = 9/Circumsphere Radius 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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