Height of Half Tetrahedron given Surface to Volume Ratio Calculator

✖Surface to Volume Ratio of Half Tetrahedron is the fraction of surface area to the volume of the Half Tetrahedron.ⓘ Surface to Volume Ratio of Half Tetrahedron [R_A/V]

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✖The Height of Half Tetrahedron is defined as the measure of the vertical distance from one top to bottom face of a Half Tetrahedron.ⓘ Height of Half Tetrahedron given Surface to Volume Ratio [h]

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Height of Half Tetrahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Half Tetrahedron = (sqrt(3)/2+1/4)/((Surface to Volume Ratio of Half Tetrahedron/12)*sqrt(3))
h = (sqrt(3)/2+1/4)/((R_A/V/12)*sqrt(3))
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

Height of Half Tetrahedron - (Measured in Meter) - The Height of Half Tetrahedron is defined as the measure of the vertical distance from one top to bottom face of 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

h = (sqrt(3)/2+1/4)/((R_A/V/12)*sqrt(3)) --> (sqrt(3)/2+1/4)/((2/12)*sqrt(3))

Evaluating ... ...

h = 3.86602540378444

STEP 3: Convert Result to Output's Unit

3.86602540378444 Meter --> No Conversion Required

FINAL ANSWER

3.86602540378444 ≈ 3.866025 Meter <-- Height of Half Tetrahedron

(Calculation completed in 00.006 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Indian Institute of Information Technology (IIIT), Bhopal

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< Height of Half Tetrahedron Calculators

Height of Half Tetrahedron given Total Surface Area

LaTeX Go Height of Half Tetrahedron = sqrt(Total Surface Area of Half Tetrahedron/(sqrt(3)/2+1/4))/sqrt(6)

Height of Half Tetrahedron given Volume

LaTeX Go Height of Half Tetrahedron = ((24*Volume of Half Tetrahedron)/(sqrt(2)))^(1/3)/sqrt(6)

Height of Half Tetrahedron

LaTeX Go Height of Half Tetrahedron = Tetrahedral Edge of Half Tetrahedron/sqrt(6)

Height of Half Tetrahedron given Half Edges

LaTeX Go Height of Half Tetrahedron = (2*Half Edge of Half Tetrahedron)/sqrt(6)

Height of Half Tetrahedron given Surface to Volume Ratio Formula

LaTeX Go

Height of Half Tetrahedron = (sqrt(3)/2+1/4)/((Surface to Volume Ratio of Half Tetrahedron/12)*sqrt(3))
h = (sqrt(3)/2+1/4)/((R_A/V/12)*sqrt(3))

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 Height of Half Tetrahedron given Surface to Volume Ratio?

Height of Half Tetrahedron given Surface to Volume Ratio calculator uses Height of Half Tetrahedron = (sqrt(3)/2+1/4)/((Surface to Volume Ratio of Half Tetrahedron/12)*sqrt(3)) to calculate the Height of Half Tetrahedron, The Height of Half Tetrahedron given Surface to Volume Ratio formula is defined as the measure of vertical distance from one top to bottom face of Half Tetrahedron, calculated using its surface to volume ratio. Height of Half Tetrahedron is denoted by h symbol.

How to calculate Height of Half Tetrahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Height of Half Tetrahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Half Tetrahedron (R_A/V) and hit the calculate button. Here is how the Height of Half Tetrahedron given Surface to Volume Ratio calculation can be explained with given input values -> 3.866025 = (sqrt(3)/2+1/4)/((2/12)*sqrt(3)).

FAQ

What is Height of Half Tetrahedron given Surface to Volume Ratio?

The Height of Half Tetrahedron given Surface to Volume Ratio formula is defined as the measure of vertical distance from one top to bottom face of Half Tetrahedron, calculated using its surface to volume ratio and is represented as h = (sqrt(3)/2+1/4)/((R_A/V/12)*sqrt(3)) or Height of Half Tetrahedron = (sqrt(3)/2+1/4)/((Surface to Volume Ratio of Half Tetrahedron/12)*sqrt(3)). Surface to Volume Ratio of Half Tetrahedron is the fraction of surface area to the volume of the Half Tetrahedron.

How to calculate Height of Half Tetrahedron given Surface to Volume Ratio?

The Height of Half Tetrahedron given Surface to Volume Ratio formula is defined as the measure of vertical distance from one top to bottom face of Half Tetrahedron, calculated using its surface to volume ratio is calculated using Height of Half Tetrahedron = (sqrt(3)/2+1/4)/((Surface to Volume Ratio of Half Tetrahedron/12)*sqrt(3)). To calculate Height of Half Tetrahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Half Tetrahedron (R_A/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 Height of Half Tetrahedron?

In this formula, Height 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 -

Height of Half Tetrahedron = Tetrahedral Edge of Half Tetrahedron/sqrt(6)
Height of Half Tetrahedron = (2*Half Edge of Half Tetrahedron)/sqrt(6)
Height of Half Tetrahedron = sqrt(Total Surface Area of Half Tetrahedron/(sqrt(3)/2+1/4))/sqrt(6)

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