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Height of Tetrahedron given Midsphere Radius 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 = 2 \cdot \sqrt{\frac{4}{3}} \cdot r m

h - Height of Tetrahedron?r_m - Midsphere Radius of Tetrahedron?

Height of Tetrahedron given Midsphere Radius Example

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

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

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

9.2376 = 2 \cdot \sqrt{\frac{4}{3}} \cdot 4

9.2376m = 2 \cdot \sqrt{\frac{4}{3}} \cdot 4m

9.2376 = 2 \cdot \sqrt{\frac{4}{3}} \cdot 4

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Height of Tetrahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

h = 2 \cdot \sqrt{\frac{4}{3}} \cdot r m

Next Step Substitute values of Variables

∴

h = 2 \cdot \sqrt{\frac{4}{3}} \cdot 4m

Next Step Prepare to Evaluate

∴

h = 2 \cdot \sqrt{\frac{4}{3}} \cdot 4

Next Step Evaluate

∴

h = 9.23760430703401m

LAST Step Rounding Answer

∴

h = 9.2376m

Height of Tetrahedron given Midsphere Radius 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

Midsphere Radius of Tetrahedron

Midsphere Radius of Tetrahedron is the radius of the sphere for which all the edges of the Tetrahedron become a tangent line to that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius 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}}}

Go Height of Tetrahedron given Insphere Radius

h = 4 \cdot r i

How to Evaluate Height of Tetrahedron given Midsphere Radius?

Height of Tetrahedron given Midsphere Radius evaluator uses Height of Tetrahedron = 2*sqrt(4/3)*Midsphere Radius of Tetrahedron to evaluate the Height of Tetrahedron, The Height of Tetrahedron given Midsphere Radius 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 midsphere radius of the Tetrahedron. Height of Tetrahedron is denoted by h symbol.

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

FAQs on Height of Tetrahedron given Midsphere Radius

What is the formula to find Height of Tetrahedron given Midsphere Radius?

The formula of Height of Tetrahedron given Midsphere Radius is expressed as Height of Tetrahedron = 2*sqrt(4/3)*Midsphere Radius of Tetrahedron. Here is an example- 9.237604 = 2*sqrt(4/3)*4.

How to calculate Height of Tetrahedron given Midsphere Radius?

With Midsphere Radius of Tetrahedron (r_m) we can find Height of Tetrahedron given Midsphere Radius using the formula - Height of Tetrahedron = 2*sqrt(4/3)*Midsphere Radius 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=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 Midsphere Radius be negative?

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

Which unit is used to measure Height of Tetrahedron given Midsphere Radius?

Height of Tetrahedron given Midsphere Radius 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 Midsphere Radius can be measured.

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