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Face Area of Tetrahedron given Volume Formula

GoFace Area of Tetrahedron Formula

GoFace Area of Tetrahedron given Insphere Radius Formula

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Face Area of Tetrahedron is the quantity of plane enclosed by any equilateral triangular face of the Tetrahedron. Check FAQs

A Face = \frac{\sqrt{3}}{4} \cdot {(6 \cdot \sqrt{2} \cdot V)}^{\frac{2}{3}}

A_Face - Face Area of Tetrahedron?V - Volume of Tetrahedron?

Face Area of Tetrahedron given Volume Example

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Here is how the Face Area of Tetrahedron given Volume equation looks like with Values.

Here is how the Face Area of Tetrahedron given Volume equation looks like with Units.

Here is how the Face Area of Tetrahedron given Volume equation looks like.

43.826 = \frac{\sqrt{3}}{4} \cdot {(6 \cdot \sqrt{2} \cdot 120)}^{\frac{2}{3}}

43.826m² = \frac{\sqrt{3}}{4} \cdot {(6 \cdot \sqrt{2} \cdot 120m³)}^{\frac{2}{3}}

43.826 = \frac{\sqrt{3}}{4} \cdot {(6 \cdot \sqrt{2} \cdot 120)}^{\frac{2}{3}}

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Face Area of Tetrahedron given Volume Solution

Follow our step by step solution on how to calculate Face Area of Tetrahedron given Volume?

FIRST Step Consider the formula

A Face = \frac{\sqrt{3}}{4} \cdot {(6 \cdot \sqrt{2} \cdot V)}^{\frac{2}{3}}

Next Step Substitute values of Variables

∴

A Face = \frac{\sqrt{3}}{4} \cdot {(6 \cdot \sqrt{2} \cdot 120m³)}^{\frac{2}{3}}

Next Step Prepare to Evaluate

∴

A Face = \frac{\sqrt{3}}{4} \cdot {(6 \cdot \sqrt{2} \cdot 120)}^{\frac{2}{3}}

Next Step Evaluate

∴

A Face = 43.8260468719759m²

LAST Step Rounding Answer

∴

A Face = 43.826m²

Face Area of Tetrahedron given Volume Formula Elements

Variables

Functions

Face Area of Tetrahedron

Face Area of Tetrahedron is the quantity of plane enclosed by any equilateral triangular face of the Tetrahedron.

Symbol: A_Face

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Face Area of Tetrahedron

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

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 Face Area of Tetrahedron

Go Face Area of Tetrahedron

A Face = \frac{\sqrt{3}}{4} \cdot {l e}^{2}

Go Face Area of Tetrahedron given Insphere Radius

A Face = 6 \cdot \sqrt{3} \cdot {r i}^{2}

Go Face Area of Tetrahedron given Circumsphere Radius

A Face = \frac{\sqrt{3}}{4} \cdot {(\frac{2 \cdot \sqrt{2} \cdot r c}{\sqrt{3}})}^{2}

Go Face Area of Tetrahedron given Midsphere Radius

A Face = \frac{\sqrt{3}}{4} \cdot {(2 \cdot \sqrt{2} \cdot r m)}^{2}

How to Evaluate Face Area of Tetrahedron given Volume?

Face Area of Tetrahedron given Volume evaluator uses Face Area of Tetrahedron = sqrt(3)/4*(6*sqrt(2)*Volume of Tetrahedron)^(2/3) to evaluate the Face Area of Tetrahedron, The Face Area of Tetrahedron given Volume formula is defined as the quantity of plane enclosed by any equilateral triangular face of the Tetrahedron, and calculated using the volume of the Tetrahedron. Face Area of Tetrahedron is denoted by A_Face symbol.

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

FAQs on Face Area of Tetrahedron given Volume

What is the formula to find Face Area of Tetrahedron given Volume?

The formula of Face Area of Tetrahedron given Volume is expressed as Face Area of Tetrahedron = sqrt(3)/4*(6*sqrt(2)*Volume of Tetrahedron)^(2/3). Here is an example- 43.82605 = sqrt(3)/4*(6*sqrt(2)*120)^(2/3).

How to calculate Face Area of Tetrahedron given Volume?

With Volume of Tetrahedron (V) we can find Face Area of Tetrahedron given Volume using the formula - Face Area of Tetrahedron = sqrt(3)/4*(6*sqrt(2)*Volume of Tetrahedron)^(2/3). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Face Area of Tetrahedron?

Here are the different ways to Calculate Face Area of Tetrahedron-

Face Area of Tetrahedron=(sqrt(3))/4*Edge Length of Tetrahedron^2
Face Area of Tetrahedron=6*sqrt(3)*Insphere Radius of Tetrahedron^2
Face Area of Tetrahedron=(sqrt(3))/4*((2*sqrt(2)*Circumsphere Radius of Tetrahedron)/sqrt(3))^2

Can the Face Area of Tetrahedron given Volume be negative?

No, the Face Area of Tetrahedron given Volume, measured in Area cannot be negative.

Which unit is used to measure Face Area of Tetrahedron given Volume?

Face Area of Tetrahedron given Volume is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Face Area of Tetrahedron given Volume can be measured.

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