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Height of Tetrahedron Formula

GoHeight of Tetrahedron given Circumsphere Radius Formula

GoHeight of Tetrahedron given Face Area 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 l e

h - Height of Tetrahedron?l_e - Edge Length of Tetrahedron?

Height of Tetrahedron Example

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

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

Here is how the Height of Tetrahedron equation looks like.

8.165 = \sqrt{\frac{2}{3}} \cdot 10

8.165m = \sqrt{\frac{2}{3}} \cdot 10m

8.165 = \sqrt{\frac{2}{3}} \cdot 10

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Height of Tetrahedron Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \sqrt{\frac{2}{3}} \cdot 10m

Next Step Prepare to Evaluate

∴

h = \sqrt{\frac{2}{3}} \cdot 10

Next Step Evaluate

∴

h = 8.16496580927726m

LAST Step Rounding Answer

∴

h = 8.165m

Height of Tetrahedron 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

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 Height of Tetrahedron

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}}}

Go Height of Tetrahedron given Volume

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

How to Evaluate Height of Tetrahedron?

Height of Tetrahedron evaluator uses Height of Tetrahedron = sqrt(2/3)*Edge Length of Tetrahedron to evaluate the Height of Tetrahedron, Height of Tetrahedron formula is defined as the vertical distance from any vertex of the Tetrahedron to the face which is directly opposite to that vertex. Height of Tetrahedron is denoted by h symbol.

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

FAQs on Height of Tetrahedron

What is the formula to find Height of Tetrahedron?

The formula of Height of Tetrahedron is expressed as Height of Tetrahedron = sqrt(2/3)*Edge Length of Tetrahedron. Here is an example- 8.164966 = sqrt(2/3)*10.

How to calculate Height of Tetrahedron?

With Edge Length of Tetrahedron (l_e) we can find Height of Tetrahedron using the formula - Height of Tetrahedron = sqrt(2/3)*Edge Length of Tetrahedron. 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=4/3*Circumsphere Radius of Tetrahedron
Height of Tetrahedron=sqrt((8*Face Area of Tetrahedron)/(3*sqrt(3)))
Height of Tetrahedron=sqrt(2/3)*(6*sqrt(2)*Volume of Tetrahedron)^(1/3)

Can the Height of Tetrahedron be negative?

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

Which unit is used to measure Height of Tetrahedron?

Height of Tetrahedron 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 can be measured.

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