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Volume of Tetrahedron given Surface to Volume Ratio Formula

GoVolume of Tetrahedron Formula

GoVolume of Tetrahedron given Total Surface Area Formula

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Volume of Tetrahedron is the total quantity of three dimensional space enclosed by the surface of the Tetrahedron. Check FAQs

V = \frac{{(\frac{6 \cdot \sqrt{6}}{R A/V})}^{3}}{6 \cdot \sqrt{2}}

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

Volume of Tetrahedron given Surface to Volume Ratio Example

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

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

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

110.8513 = \frac{{(\frac{6 \cdot \sqrt{6}}{1.5})}^{3}}{6 \cdot \sqrt{2}}

110.8513m³ = \frac{{(\frac{6 \cdot \sqrt{6}}{1.5m⁻¹})}^{3}}{6 \cdot \sqrt{2}}

110.8513 = \frac{{(\frac{6 \cdot \sqrt{6}}{1.5})}^{3}}{6 \cdot \sqrt{2}}

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Volume of Tetrahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

V = \frac{{(\frac{6 \cdot \sqrt{6}}{R A/V})}^{3}}{6 \cdot \sqrt{2}}

Next Step Substitute values of Variables

∴

V = \frac{{(\frac{6 \cdot \sqrt{6}}{1.5m⁻¹})}^{3}}{6 \cdot \sqrt{2}}

Next Step Prepare to Evaluate

∴

V = \frac{{(\frac{6 \cdot \sqrt{6}}{1.5})}^{3}}{6 \cdot \sqrt{2}}

Next Step Evaluate

∴

V = 110.851251684408m³

LAST Step Rounding Answer

∴

V = 110.8513m³

Volume of Tetrahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Volume of Tetrahedron

Volume of Tetrahedron is the total quantity of three dimensional space enclosed by the surface of the Tetrahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Tetrahedron

Surface to Volume Ratio of Tetrahedron

The Surface to Volume Ratio of Tetrahedron is the numerical ratio of the total surface area to the volume of the 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 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 Tetrahedron

Go Volume of Tetrahedron

V = \frac{{l e}^{3}}{6 \cdot \sqrt{2}}

Go Volume of Tetrahedron given Total Surface Area

V = \frac{\sqrt{2}}{12} \cdot {(\frac{TSA}{\sqrt{3}})}^{\frac{3}{2}}

Go Volume of Tetrahedron given Circumsphere Radius

V = \frac{{(2 \cdot \sqrt{\frac{2}{3}} \cdot r c)}^{3}}{6 \cdot \sqrt{2}}

Go Volume of Tetrahedron given Midsphere Radius

V = \frac{{(2 \cdot \sqrt{2} \cdot r m)}^{3}}{6 \cdot \sqrt{2}}

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

Volume of Tetrahedron given Surface to Volume Ratio evaluator uses Volume of Tetrahedron = (((6*sqrt(6))/Surface to Volume Ratio of Tetrahedron)^3)/(6*sqrt(2)) to evaluate the Volume of Tetrahedron, The Volume of Tetrahedron given Surface to Volume Ratio formula is defined as the total quantity of three dimensional space enclosed by the surface of the Tetrahedron, and calculated using the surface to volume ratio of the Tetrahedron. Volume of Tetrahedron is denoted by V symbol.

How to evaluate Volume of Tetrahedron given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Volume of Tetrahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Tetrahedron (R_A/V) and hit the calculate button.

FAQs on Volume of Tetrahedron given Surface to Volume Ratio

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

The formula of Volume of Tetrahedron given Surface to Volume Ratio is expressed as Volume of Tetrahedron = (((6*sqrt(6))/Surface to Volume Ratio of Tetrahedron)^3)/(6*sqrt(2)). Here is an example- 110.8513 = (((6*sqrt(6))/1.5)^3)/(6*sqrt(2)).

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

With Surface to Volume Ratio of Tetrahedron (R_A/V) we can find Volume of Tetrahedron given Surface to Volume Ratio using the formula - Volume of Tetrahedron = (((6*sqrt(6))/Surface to Volume Ratio of Tetrahedron)^3)/(6*sqrt(2)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Tetrahedron?

Here are the different ways to Calculate Volume of Tetrahedron-

Volume of Tetrahedron=(Edge Length of Tetrahedron^3)/(6*sqrt(2))
Volume of Tetrahedron=sqrt(2)/12*(Total Surface Area of Tetrahedron/sqrt(3))^(3/2)
Volume of Tetrahedron=((2*sqrt(2/3)*Circumsphere Radius of Tetrahedron)^3)/(6*sqrt(2))

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

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

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

Volume of 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 Tetrahedron given Surface to Volume Ratio can be measured.

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