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Volume of Tetrahedron given Face Area Formula

GoVolume of Tetrahedron Formula

GoVolume of Tetrahedron given Height 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{4 \cdot A Face}{\sqrt{3}})}^{\frac{3}{2}}}{6 \cdot \sqrt{2}}

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

Volume of Tetrahedron given Face Area Example

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

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

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

124.8537 = \frac{{(\frac{4 \cdot 45}{\sqrt{3}})}^{\frac{3}{2}}}{6 \cdot \sqrt{2}}

124.8537m³ = \frac{{(\frac{4 \cdot 45m²}{\sqrt{3}})}^{\frac{3}{2}}}{6 \cdot \sqrt{2}}

124.8537 = \frac{{(\frac{4 \cdot 45}{\sqrt{3}})}^{\frac{3}{2}}}{6 \cdot \sqrt{2}}

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Volume of Tetrahedron given Face Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{{(\frac{4 \cdot 45m²}{\sqrt{3}})}^{\frac{3}{2}}}{6 \cdot \sqrt{2}}

Next Step Prepare to Evaluate

∴

V = \frac{{(\frac{4 \cdot 45}{\sqrt{3}})}^{\frac{3}{2}}}{6 \cdot \sqrt{2}}

Next Step Evaluate

∴

V = 124.853743508634m³

LAST Step Rounding Answer

∴

V = 124.8537m³

Volume of Tetrahedron given Face Area 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

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

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 Height

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

How to Evaluate Volume of Tetrahedron given Face Area?

Volume of Tetrahedron given Face Area evaluator uses Volume of Tetrahedron = (((4*Face Area of Tetrahedron)/sqrt(3))^(3/2))/(6*sqrt(2)) to evaluate the Volume of Tetrahedron, The Volume of Tetrahedron given Face Area formula is defined as the total quantity of three dimensional space enclosed by the surface of the Tetrahedron, and calculated using the face area of the Tetrahedron. Volume of Tetrahedron is denoted by V symbol.

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

FAQs on Volume of Tetrahedron given Face Area

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

The formula of Volume of Tetrahedron given Face Area is expressed as Volume of Tetrahedron = (((4*Face Area of Tetrahedron)/sqrt(3))^(3/2))/(6*sqrt(2)). Here is an example- 124.8537 = (((4*45)/sqrt(3))^(3/2))/(6*sqrt(2)).

How to calculate Volume of Tetrahedron given Face Area?

With Face Area of Tetrahedron (A_Face) we can find Volume of Tetrahedron given Face Area using the formula - Volume of Tetrahedron = (((4*Face Area of Tetrahedron)/sqrt(3))^(3/2))/(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(3/2)*Height of Tetrahedron)^3)/(6*sqrt(2))
Volume of Tetrahedron=sqrt(2)/12*(Total Surface Area of Tetrahedron/sqrt(3))^(3/2)

Can the Volume of Tetrahedron given Face Area be negative?

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

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

Volume of Tetrahedron given Face Area 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 Face Area can be measured.

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