Volume of Half Tetrahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Half Tetrahedron = (((sqrt(3)/2+1/4)/(Surface to Volume Ratio of Half Tetrahedron/24*sqrt(2)))^3)/24*sqrt(2)
V = (((sqrt(3)/2+1/4)/(RA/V/24*sqrt(2)))^3)/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
Volume of Half Tetrahedron - (Measured in Cubic Meter) - The Volume of Half Tetrahedron is the amount of three-dimensional space that is enclosed by a 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
V = (((sqrt(3)/2+1/4)/(RA/V/24*sqrt(2)))^3)/24*sqrt(2) --> (((sqrt(3)/2+1/4)/(2/24*sqrt(2)))^3)/24*sqrt(2)
Evaluating ... ...
V = 50.0408573777248
STEP 3: Convert Result to Output's Unit
50.0408573777248 Cubic Meter --> No Conversion Required
FINAL ANSWER
50.0408573777248 50.04086 Cubic Meter <-- Volume of Half Tetrahedron
(Calculation completed in 00.007 seconds)

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Volume of Half Tetrahedron Calculators

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

Volume of Half Tetrahedron given Surface to Volume Ratio Formula

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

Volume of Half Tetrahedron given Surface to Volume Ratio calculator uses Volume of Half Tetrahedron = (((sqrt(3)/2+1/4)/(Surface to Volume Ratio of Half Tetrahedron/24*sqrt(2)))^3)/24*sqrt(2) to calculate the Volume of Half Tetrahedron, The Volume of Half Tetrahedron given Surface to Volume Ratio formula is defined as the quantity of three-dimensional space enclosed by a Half Tetrahedron, calculated using its surface to volume ratio. Volume of Half Tetrahedron is denoted by V symbol.

How to calculate Volume of Half Tetrahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Volume 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 Volume of Half Tetrahedron given Surface to Volume Ratio calculation can be explained with given input values -> 50.04086 = (((sqrt(3)/2+1/4)/(2/24*sqrt(2)))^3)/24*sqrt(2).

FAQ

What is Volume of Half Tetrahedron given Surface to Volume Ratio?
The Volume of Half Tetrahedron given Surface to Volume Ratio formula is defined as the quantity of three-dimensional space enclosed by a Half Tetrahedron, calculated using its surface to volume ratio and is represented as V = (((sqrt(3)/2+1/4)/(RA/V/24*sqrt(2)))^3)/24*sqrt(2) or Volume of Half Tetrahedron = (((sqrt(3)/2+1/4)/(Surface to Volume Ratio of Half Tetrahedron/24*sqrt(2)))^3)/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 Volume of Half Tetrahedron given Surface to Volume Ratio?
The Volume of Half Tetrahedron given Surface to Volume Ratio formula is defined as the quantity of three-dimensional space enclosed by a Half Tetrahedron, calculated using its surface to volume ratio is calculated using Volume of Half Tetrahedron = (((sqrt(3)/2+1/4)/(Surface to Volume Ratio of Half Tetrahedron/24*sqrt(2)))^3)/24*sqrt(2). To calculate Volume 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 Volume of Half Tetrahedron?
In this formula, Volume 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 -
  • Volume of Half Tetrahedron = (Tetrahedral Edge of Half Tetrahedron^3)/24*sqrt(2)
  • Volume of Half Tetrahedron = ((2*Half Edge of Half Tetrahedron)^3)/24*sqrt(2)
  • Volume of Half Tetrahedron = ((sqrt(6)*Height of Half Tetrahedron)^3)/24*sqrt(2)
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