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Volume of Half Tetrahedron given Surface to Volume Ratio Formula

GoVolume of Half Tetrahedron Formula

GoVolume of Half Tetrahedron given Half Edges Formula

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The Volume of Half Tetrahedron is the amount of three-dimensional space that is enclosed by a Half Tetrahedron. Check FAQs

V = \frac{{(\frac{\frac{\sqrt{3}}{2} + \frac{1}{4}}{\frac{R A/V}{24} \cdot \sqrt{2}})}^{3}}{24} \cdot \sqrt{2}

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

Volume of Half Tetrahedron given Surface to Volume Ratio Example

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

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

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

50.0409 = \frac{{(\frac{\frac{\sqrt{3}}{2} + \frac{1}{4}}{\frac{2}{24} \cdot \sqrt{2}})}^{3}}{24} \cdot \sqrt{2}

50.0409m³ = \frac{{(\frac{\frac{\sqrt{3}}{2} + \frac{1}{4}}{\frac{2m⁻¹}{24} \cdot \sqrt{2}})}^{3}}{24} \cdot \sqrt{2}

50.0409 = \frac{{(\frac{\frac{\sqrt{3}}{2} + \frac{1}{4}}{\frac{2}{24} \cdot \sqrt{2}})}^{3}}{24} \cdot \sqrt{2}

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Volume of Half Tetrahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

V = \frac{{(\frac{\frac{\sqrt{3}}{2} + \frac{1}{4}}{\frac{R A/V}{24} \cdot \sqrt{2}})}^{3}}{24} \cdot \sqrt{2}

Next Step Substitute values of Variables

∴

V = \frac{{(\frac{\frac{\sqrt{3}}{2} + \frac{1}{4}}{\frac{2m⁻¹}{24} \cdot \sqrt{2}})}^{3}}{24} \cdot \sqrt{2}

Next Step Prepare to Evaluate

∴

V = \frac{{(\frac{\frac{\sqrt{3}}{2} + \frac{1}{4}}{\frac{2}{24} \cdot \sqrt{2}})}^{3}}{24} \cdot \sqrt{2}

Next Step Evaluate

∴

V = 50.0408573777248m³

LAST Step Rounding Answer

∴

V = 50.0409m³

Volume of Half Tetrahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Volume of Half Tetrahedron

The Volume of Half Tetrahedron is the amount of three-dimensional space that is enclosed by a Half Tetrahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Volume of Half Tetrahedron

Go Volume of Half Tetrahedron

V = \frac{{l e(Tetrahedral)}^{3}}{24} \cdot \sqrt{2}

Go Volume of Half Tetrahedron given Half Edges

V = \frac{{(2 \cdot l e(Half))}^{3}}{24} \cdot \sqrt{2}

Go Volume of Half Tetrahedron given Height

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

Go Volume of Half Tetrahedron given Total Surface Area

V = \frac{{(\sqrt{\frac{TSA}{\frac{\sqrt{3}}{2} + \frac{1}{4}}})}^{3}}{24} \cdot \sqrt{2}

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

Volume of Half Tetrahedron given Surface to Volume Ratio evaluator 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 evaluate 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 evaluate Volume of Half Tetrahedron given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Volume 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 Volume of Half Tetrahedron given Surface to Volume Ratio

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

The formula of Volume of Half Tetrahedron given Surface to Volume Ratio is expressed as Volume of Half Tetrahedron = (((sqrt(3)/2+1/4)/(Surface to Volume Ratio of Half Tetrahedron/24*sqrt(2)))^3)/24*sqrt(2). Here is an example- 50.04086 = (((sqrt(3)/2+1/4)/(2/24*sqrt(2)))^3)/24*sqrt(2).

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

With Surface to Volume Ratio of Half Tetrahedron (R_A/V) we can find Volume of Half Tetrahedron given Surface to Volume Ratio using the formula - Volume of Half Tetrahedron = (((sqrt(3)/2+1/4)/(Surface to Volume Ratio of Half Tetrahedron/24*sqrt(2)))^3)/24*sqrt(2). This formula also uses Square Root (sqrt) function(s).

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

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

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)

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

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

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

Volume of Half Tetrahedron given Surface to Volume Ratio is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Half Tetrahedron given Surface to Volume Ratio can be measured.

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