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Volume of Tetrahedron given Height Formula

GoVolume of Tetrahedron Formula

GoVolume of Tetrahedron given Face Area 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{{(\sqrt{\frac{3}{2}} \cdot h)}^{3}}{6 \cdot \sqrt{2}}

V - Volume of Tetrahedron?h - Height of Tetrahedron?

Volume of Tetrahedron given Height Example

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

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

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

110.8513 = \frac{{(\sqrt{\frac{3}{2}} \cdot 8)}^{3}}{6 \cdot \sqrt{2}}

110.8513m³ = \frac{{(\sqrt{\frac{3}{2}} \cdot 8m)}^{3}}{6 \cdot \sqrt{2}}

110.8513 = \frac{{(\sqrt{\frac{3}{2}} \cdot 8)}^{3}}{6 \cdot \sqrt{2}}

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Volume of Tetrahedron given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{{(\sqrt{\frac{3}{2}} \cdot 8m)}^{3}}{6 \cdot \sqrt{2}}

Next Step Prepare to Evaluate

∴

V = \frac{{(\sqrt{\frac{3}{2}} \cdot 8)}^{3}}{6 \cdot \sqrt{2}}

Next Step Evaluate

∴

V = 110.851251684408m³

LAST Step Rounding Answer

∴

V = 110.8513m³

Volume of Tetrahedron given Height 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

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 Volume of Tetrahedron

Go Volume of Tetrahedron

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

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 Total Surface Area

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

How to Evaluate Volume of Tetrahedron given Height?

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

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

FAQs on Volume of Tetrahedron given Height

What is the formula to find Volume of Tetrahedron given Height?

The formula of Volume of Tetrahedron given Height is expressed as Volume of Tetrahedron = ((sqrt(3/2)*Height of Tetrahedron)^3)/(6*sqrt(2)). Here is an example- 110.8513 = ((sqrt(3/2)*8)^3)/(6*sqrt(2)).

How to calculate Volume of Tetrahedron given Height?

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

Can the Volume of Tetrahedron given Height be negative?

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

Which unit is used to measure Volume of Tetrahedron given Height?

Volume of Tetrahedron given Height 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 Height can be measured.

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