Tetrahedral Edge of Half Tetrahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Tetrahedral Edge of Half Tetrahedron = (sqrt(3)/2+1/4)/(Surface to Volume Ratio of Half Tetrahedron/24*sqrt(2))
le(Tetrahedral) = (sqrt(3)/2+1/4)/(RA/V/24*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
Tetrahedral Edge of Half Tetrahedron - (Measured in Meter) - Tetrahedral Edge of Half Tetrahedron is defined as the length of any edge of the Tetrahedron which is cut into half to form the Half Tetrahedron.
Surface to Volume Ratio of Half Tetrahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Half Tetrahedron is the fraction of surface area to the volume of the Half Tetrahedron.
STEP 1: Convert Input(s) to Base Unit
Surface to Volume Ratio of Half Tetrahedron: 2 1 per Meter --> 2 1 per Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le(Tetrahedral) = (sqrt(3)/2+1/4)/(RA/V/24*sqrt(2)) --> (sqrt(3)/2+1/4)/(2/24*sqrt(2))
Evaluating ... ...
le(Tetrahedral) = 9.46978957190918
STEP 3: Convert Result to Output's Unit
9.46978957190918 Meter --> No Conversion Required
FINAL ANSWER
9.46978957190918 9.46979 Meter <-- Tetrahedral Edge of Half Tetrahedron
(Calculation completed in 00.004 seconds)

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Tetrahedral Edge of Half Tetrahedron Calculators

Tetrahedral Edge of Half Tetrahedron given Total Surface Area
​ LaTeX ​ Go Tetrahedral Edge of Half Tetrahedron = sqrt(Total Surface Area of Half Tetrahedron/(sqrt(3)/2+1/4))
Tetrahedral Edge of Half Tetrahedron given Volume
​ LaTeX ​ Go Tetrahedral Edge of Half Tetrahedron = ((24*Volume of Half Tetrahedron)/(sqrt(2)))^(1/3)
Tetrahedral Edge of Half Tetrahedron given Height
​ LaTeX ​ Go Tetrahedral Edge of Half Tetrahedron = sqrt(6)*Height of Half Tetrahedron
Tetrahedral Edge of Half Tetrahedron
​ LaTeX ​ Go Tetrahedral Edge of Half Tetrahedron = 2*Half Edge of Half Tetrahedron

Tetrahedral Edge of Half Tetrahedron given Surface to Volume Ratio Formula

​LaTeX ​Go
Tetrahedral Edge of Half Tetrahedron = (sqrt(3)/2+1/4)/(Surface to Volume Ratio of Half Tetrahedron/24*sqrt(2))
le(Tetrahedral) = (sqrt(3)/2+1/4)/(RA/V/24*sqrt(2))

What is a Half Tetrahedron?

In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners. The tetrahedron is the simplest of all the ordinary convex polyhedra and the only one that has fewer than 5 faces. A regular tetrahedron which is cut into half, so that a long wedge with a square base is formed. One edge a of the tetrahedron remains, the other eight edges b have half the length.

How to Calculate Tetrahedral Edge of Half Tetrahedron given Surface to Volume Ratio?

Tetrahedral Edge of Half Tetrahedron given Surface to Volume Ratio calculator uses Tetrahedral Edge of Half Tetrahedron = (sqrt(3)/2+1/4)/(Surface to Volume Ratio of Half Tetrahedron/24*sqrt(2)) to calculate the Tetrahedral Edge of Half Tetrahedron, The Tetrahedral Edge of Half Tetrahedron given Surface to Volume Ratio formula is defined as the length of any edge of the Tetrahedron which is cut into half to form the Half Tetrahedron, calculated using its surface-to-volume ratio. Tetrahedral Edge of Half Tetrahedron is denoted by le(Tetrahedral) symbol.

How to calculate Tetrahedral Edge of Half Tetrahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Tetrahedral Edge of Half Tetrahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Half Tetrahedron (RA/V) and hit the calculate button. Here is how the Tetrahedral Edge of Half Tetrahedron given Surface to Volume Ratio calculation can be explained with given input values -> 9.46979 = (sqrt(3)/2+1/4)/(2/24*sqrt(2)).

FAQ

What is Tetrahedral Edge of Half Tetrahedron given Surface to Volume Ratio?
The Tetrahedral Edge of Half Tetrahedron given Surface to Volume Ratio formula is defined as the length of any edge of the Tetrahedron which is cut into half to form the Half Tetrahedron, calculated using its surface-to-volume ratio and is represented as le(Tetrahedral) = (sqrt(3)/2+1/4)/(RA/V/24*sqrt(2)) or Tetrahedral Edge of Half Tetrahedron = (sqrt(3)/2+1/4)/(Surface to Volume Ratio of Half Tetrahedron/24*sqrt(2)). Surface to Volume Ratio of Half Tetrahedron is the fraction of surface area to the volume of the Half Tetrahedron.
How to calculate Tetrahedral Edge of Half Tetrahedron given Surface to Volume Ratio?
The Tetrahedral Edge of Half Tetrahedron given Surface to Volume Ratio formula is defined as the length of any edge of the Tetrahedron which is cut into half to form the Half Tetrahedron, calculated using its surface-to-volume ratio is calculated using Tetrahedral Edge of Half Tetrahedron = (sqrt(3)/2+1/4)/(Surface to Volume Ratio of Half Tetrahedron/24*sqrt(2)). To calculate Tetrahedral Edge of Half Tetrahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Half Tetrahedron (RA/V). With our tool, you need to enter the respective value for Surface to Volume Ratio of Half 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 Tetrahedral Edge of Half Tetrahedron?
In this formula, Tetrahedral Edge of Half Tetrahedron uses Surface to Volume Ratio of Half Tetrahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Tetrahedral Edge of Half Tetrahedron = 2*Half Edge of Half Tetrahedron
  • Tetrahedral Edge of Half Tetrahedron = sqrt(Total Surface Area of Half Tetrahedron/(sqrt(3)/2+1/4))
  • Tetrahedral Edge of Half Tetrahedron = sqrt(6)*Height of Half Tetrahedron
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