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Volume of Tetrahedron Formula

GoVolume of Tetrahedron given Face Area 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{{l e}^{3}}{6 \cdot \sqrt{2}}

V - Volume of Tetrahedron?l_e - Edge Length of Tetrahedron?

Volume of Tetrahedron Example

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

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

Here is how the Volume of Tetrahedron equation looks like.

117.8511 = \frac{10^{3}}{6 \cdot \sqrt{2}}

117.8511m³ = \frac{{10m}^{3}}{6 \cdot \sqrt{2}}

117.8511 = \frac{10^{3}}{6 \cdot \sqrt{2}}

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Volume of Tetrahedron Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{{10m}^{3}}{6 \cdot \sqrt{2}}

Next Step Prepare to Evaluate

∴

V = \frac{10^{3}}{6 \cdot \sqrt{2}}

Next Step Evaluate

∴

V = 117.851130197758m³

LAST Step Rounding Answer

∴

V = 117.8511m³

Volume of Tetrahedron 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

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 Volume of Tetrahedron

Go Volume of Tetrahedron given Face Area

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

Volume of Tetrahedron evaluator uses Volume of Tetrahedron = (Edge Length of Tetrahedron^3)/(6*sqrt(2)) to evaluate the Volume of Tetrahedron, Volume of Tetrahedron formula is defined as the total quantity of three dimensional space enclosed by the surface of the Tetrahedron. Volume of Tetrahedron is denoted by V symbol.

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

FAQs on Volume of Tetrahedron

What is the formula to find Volume of Tetrahedron?

The formula of Volume of Tetrahedron is expressed as Volume of Tetrahedron = (Edge Length of Tetrahedron^3)/(6*sqrt(2)). Here is an example- 117.8511 = (10^3)/(6*sqrt(2)).

How to calculate Volume of Tetrahedron?

With Edge Length of Tetrahedron (l_e) we can find Volume of Tetrahedron using the formula - Volume of Tetrahedron = (Edge Length 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=(((4*Face Area of Tetrahedron)/sqrt(3))^(3/2))/(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 be negative?

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

Which unit is used to measure Volume of Tetrahedron?

Volume of Tetrahedron 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 can be measured.

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