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Height of Half Tetrahedron given Surface to Volume Ratio Formula

GoHeight of Half Tetrahedron Formula

GoHeight of Half Tetrahedron given Half Edges Formula

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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. Check FAQs

h = \frac{\frac{\sqrt{3}}{2} + \frac{1}{4}}{(\frac{R A/V}{12}) \cdot \sqrt{3}}

h - Height of Half Tetrahedron?R_A/V - Surface to Volume Ratio of Half Tetrahedron?

Height of Half Tetrahedron given Surface to Volume Ratio Example

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Here is how the Height of Half Tetrahedron given Surface to Volume Ratio equation looks like with Values.

Here is how the Height of Half Tetrahedron given Surface to Volume Ratio equation looks like with Units.

Here is how the Height of Half Tetrahedron given Surface to Volume Ratio equation looks like.

3.866 = \frac{\frac{\sqrt{3}}{2} + \frac{1}{4}}{(\frac{2}{12}) \cdot \sqrt{3}}

3.866m = \frac{\frac{\sqrt{3}}{2} + \frac{1}{4}}{(\frac{2m⁻¹}{12}) \cdot \sqrt{3}}

3.866 = \frac{\frac{\sqrt{3}}{2} + \frac{1}{4}}{(\frac{2}{12}) \cdot \sqrt{3}}

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Height of Half Tetrahedron given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Height of Half Tetrahedron given Surface to Volume Ratio?

FIRST Step Consider the formula

h = \frac{\frac{\sqrt{3}}{2} + \frac{1}{4}}{(\frac{R A/V}{12}) \cdot \sqrt{3}}

Next Step Substitute values of Variables

∴

h = \frac{\frac{\sqrt{3}}{2} + \frac{1}{4}}{(\frac{2m⁻¹}{12}) \cdot \sqrt{3}}

Next Step Prepare to Evaluate

∴

h = \frac{\frac{\sqrt{3}}{2} + \frac{1}{4}}{(\frac{2}{12}) \cdot \sqrt{3}}

Next Step Evaluate

∴

h = 3.86602540378444m

LAST Step Rounding Answer

∴

h = 3.866m

Height of Half Tetrahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Height of Half Tetrahedron

The Height of Half Tetrahedron is defined as the measure of the vertical distance from one top to bottom face of a Half Tetrahedron.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Half Tetrahedron

Surface to Volume Ratio of Half Tetrahedron

Surface to Volume Ratio of Half Tetrahedron is the fraction of surface area to the volume of the Half Tetrahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Half Tetrahedron

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.

Syntax: sqrt(Number)

Other Formulas to find Height of Half Tetrahedron

Go Height of Half Tetrahedron

h = \frac{l e(Tetrahedral)}{\sqrt{6}}

Go Height of Half Tetrahedron given Half Edges

h = \frac{2 \cdot l e(Half)}{\sqrt{6}}

Go Height of Half Tetrahedron given Total Surface Area

h = \frac{\sqrt{\frac{TSA}{\frac{\sqrt{3}}{2} + \frac{1}{4}}}}{\sqrt{6}}

Go Height of Half Tetrahedron given Volume

h = \frac{{(\frac{24 \cdot V}{\sqrt{2}})}^{\frac{1}{3}}}{\sqrt{6}}

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

Height of Half Tetrahedron given Surface to Volume Ratio evaluator uses Height of Half Tetrahedron = (sqrt(3)/2+1/4)/((Surface to Volume Ratio of Half Tetrahedron/12)*sqrt(3)) to evaluate 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 evaluate Height of Half Tetrahedron given Surface to Volume Ratio using this online evaluator? To use this online evaluator 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.

FAQs on Height of Half Tetrahedron given Surface to Volume Ratio

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

The formula of Height of Half Tetrahedron given Surface to Volume Ratio is expressed as Height of Half Tetrahedron = (sqrt(3)/2+1/4)/((Surface to Volume Ratio of Half Tetrahedron/12)*sqrt(3)). Here is an example- 3.866025 = (sqrt(3)/2+1/4)/((2/12)*sqrt(3)).

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

With Surface to Volume Ratio of Half Tetrahedron (R_A/V) we can find Height of Half Tetrahedron given Surface to Volume Ratio using the formula - Height of Half Tetrahedron = (sqrt(3)/2+1/4)/((Surface to Volume Ratio of Half Tetrahedron/12)*sqrt(3)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Height of Half Tetrahedron?

Here are the different ways to Calculate Height of Half Tetrahedron-

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)

Can the Height of Half Tetrahedron given Surface to Volume Ratio be negative?

No, the Height of Half Tetrahedron given Surface to Volume Ratio, measured in Length cannot be negative.

Which unit is used to measure Height of Half Tetrahedron given Surface to Volume Ratio?

Height of Half Tetrahedron given Surface to Volume Ratio is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Half Tetrahedron given Surface to Volume Ratio can be measured.

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