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Height of Tetrahedron given Volume Formula

GoHeight of Tetrahedron Formula

GoHeight of Tetrahedron given Circumsphere Radius Formula

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

h = \sqrt{\frac{2}{3}} \cdot {(6 \cdot \sqrt{2} \cdot V)}^{\frac{1}{3}}

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

Height of Tetrahedron given Volume Example

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

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

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

8.2143 = \sqrt{\frac{2}{3}} \cdot {(6 \cdot \sqrt{2} \cdot 120)}^{\frac{1}{3}}

8.2143m = \sqrt{\frac{2}{3}} \cdot {(6 \cdot \sqrt{2} \cdot 120m³)}^{\frac{1}{3}}

8.2143 = \sqrt{\frac{2}{3}} \cdot {(6 \cdot \sqrt{2} \cdot 120)}^{\frac{1}{3}}

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Height of Tetrahedron given Volume Solution

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

FIRST Step Consider the formula

h = \sqrt{\frac{2}{3}} \cdot {(6 \cdot \sqrt{2} \cdot V)}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

h = \sqrt{\frac{2}{3}} \cdot {(6 \cdot \sqrt{2} \cdot 120m³)}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

h = \sqrt{\frac{2}{3}} \cdot {(6 \cdot \sqrt{2} \cdot 120)}^{\frac{1}{3}}

Next Step Evaluate

∴

h = 8.21429322730446m

LAST Step Rounding Answer

∴

h = 8.2143m

Height of Tetrahedron given Volume Formula Elements

Variables

Functions

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

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

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 Height of Tetrahedron

Go Height of Tetrahedron

h = \sqrt{\frac{2}{3}} \cdot l e

Go Height of Tetrahedron given Circumsphere Radius

h = \frac{4}{3} \cdot r c

Go Height of Tetrahedron given Face Area

h = \sqrt{\frac{8 \cdot A Face}{3 \cdot \sqrt{3}}}

How to Evaluate Height of Tetrahedron given Volume?

Height of Tetrahedron given Volume evaluator uses Height of Tetrahedron = sqrt(2/3)*(6*sqrt(2)*Volume of Tetrahedron)^(1/3) to evaluate the Height of Tetrahedron, The Height of Tetrahedron given Volume formula is defined as the vertical distance from any vertex of the Tetrahedron to the face which is directly opposite to that vertex, and calculated using the volume of the Tetrahedron. Height of Tetrahedron is denoted by h symbol.

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

FAQs on Height of Tetrahedron given Volume

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

The formula of Height of Tetrahedron given Volume is expressed as Height of Tetrahedron = sqrt(2/3)*(6*sqrt(2)*Volume of Tetrahedron)^(1/3). Here is an example- 8.214293 = sqrt(2/3)*(6*sqrt(2)*120)^(1/3).

How to calculate Height of Tetrahedron given Volume?

With Volume of Tetrahedron (V) we can find Height of Tetrahedron given Volume using the formula - Height of Tetrahedron = sqrt(2/3)*(6*sqrt(2)*Volume of Tetrahedron)^(1/3). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Height of Tetrahedron?

Here are the different ways to Calculate Height of Tetrahedron-

Height of Tetrahedron=sqrt(2/3)*Edge Length of Tetrahedron
Height of Tetrahedron=4/3*Circumsphere Radius of Tetrahedron
Height of Tetrahedron=sqrt((8*Face Area of Tetrahedron)/(3*sqrt(3)))

Can the Height of Tetrahedron given Volume be negative?

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

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

Height of Tetrahedron given Volume is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Tetrahedron given Volume can be measured.

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