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Face 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 {l e}^{2}

A_Face - Face Area of Tetrahedron?l_e - Edge Length of Tetrahedron?

Face Area of Tetrahedron Example

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

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

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

43.3013 = \frac{\sqrt{3}}{4} \cdot 10^{2}

43.3013m² = \frac{\sqrt{3}}{4} \cdot {10m}^{2}

43.3013 = \frac{\sqrt{3}}{4} \cdot 10^{2}

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Face Area of Tetrahedron Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A Face = \frac{\sqrt{3}}{4} \cdot {10m}^{2}

Next Step Prepare to Evaluate

∴

A Face = \frac{\sqrt{3}}{4} \cdot 10^{2}

Next Step Evaluate

∴

A Face = 43.3012701892219m²

LAST Step Rounding Answer

∴

A Face = 43.3013m²

Face Area of Tetrahedron 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

Edge Length of Tetrahedron

Edge Length of Tetrahedron is the length of any of edges of the Tetrahedron or the distance between any pair of adjacent vertices of the Tetrahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length 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 given Insphere Radius

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

Other formulas in Face Area of Tetrahedron category

Go Total Surface Area of Tetrahedron

TSA = \sqrt{3} \cdot {l e}^{2}

Go Total Surface Area of Tetrahedron given Circumsphere Radius

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

Go Total Surface Area of Tetrahedron given Height

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

Go Total Surface Area of Tetrahedron given Volume

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

How to Evaluate Face Area of Tetrahedron?

Face Area of Tetrahedron evaluator uses Face Area of Tetrahedron = (sqrt(3))/4*Edge Length of Tetrahedron^2 to evaluate the Face Area of Tetrahedron, Face Area of Tetrahedron formula is defined as the quantity of plane enclosed by any equilateral triangular face of the Tetrahedron. Face Area of Tetrahedron is denoted by A_Face symbol.

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

FAQs on Face Area of Tetrahedron

What is the formula to find Face Area of Tetrahedron?

The formula of Face Area of Tetrahedron is expressed as Face Area of Tetrahedron = (sqrt(3))/4*Edge Length of Tetrahedron^2. Here is an example- 43.30127 = (sqrt(3))/4*10^2.

How to calculate Face Area of Tetrahedron?

With Edge Length of Tetrahedron (l_e) we can find Face Area of Tetrahedron using the formula - Face Area of Tetrahedron = (sqrt(3))/4*Edge Length of Tetrahedron^2. 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=6*sqrt(3)*Insphere Radius of Tetrahedron^2

Can the Face Area of Tetrahedron be negative?

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

Which unit is used to measure Face Area of Tetrahedron?

Face Area of Tetrahedron 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 can be measured.

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