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Face Area of Tetrahedron given Height 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 {(\sqrt{\frac{3}{2}} \cdot h)}^{2}

A_Face - Face Area of Tetrahedron?h - Height of Tetrahedron?

Face Area of Tetrahedron given Height Example

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

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

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

41.5692 = \frac{\sqrt{3}}{4} \cdot {(\sqrt{\frac{3}{2}} \cdot 8)}^{2}

41.5692m² = \frac{\sqrt{3}}{4} \cdot {(\sqrt{\frac{3}{2}} \cdot 8m)}^{2}

41.5692 = \frac{\sqrt{3}}{4} \cdot {(\sqrt{\frac{3}{2}} \cdot 8)}^{2}

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Face Area of Tetrahedron given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A Face = \frac{\sqrt{3}}{4} \cdot {(\sqrt{\frac{3}{2}} \cdot 8m)}^{2}

Next Step Prepare to Evaluate

∴

A Face = \frac{\sqrt{3}}{4} \cdot {(\sqrt{\frac{3}{2}} \cdot 8)}^{2}

Next Step Evaluate

∴

A Face = 41.569219381653m²

LAST Step Rounding Answer

∴

A Face = 41.5692m²

Face Area of Tetrahedron given Height 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

Height of Tetrahedron

Height of Tetrahedron is the vertical distance from any vertex of the Tetrahedron to the face which is directly opposite to that vertex.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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 Height?

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

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

FAQs on Face Area of Tetrahedron given Height

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

The formula of Face Area of Tetrahedron given Height is expressed as Face Area of Tetrahedron = sqrt(3)/4*(sqrt(3/2)*Height of Tetrahedron)^2. Here is an example- 41.56922 = sqrt(3)/4*(sqrt(3/2)*8)^2.

How to calculate Face Area of Tetrahedron given Height?

With Height of Tetrahedron (h) we can find Face Area of Tetrahedron given Height using the formula - Face Area of Tetrahedron = sqrt(3)/4*(sqrt(3/2)*Height 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=(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 Height be negative?

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

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

Face Area of Tetrahedron given Height 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 Height can be measured.

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