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Height of Tetrahedron given Face Area 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{8 \cdot A Face}{3 \cdot \sqrt{3}}}

h - Height of Tetrahedron?A_Face - Face Area of Tetrahedron?

Height of Tetrahedron given Face Area Example

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

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

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

8.3236 = \sqrt{\frac{8 \cdot 45}{3 \cdot \sqrt{3}}}

8.3236m = \sqrt{\frac{8 \cdot 45m²}{3 \cdot \sqrt{3}}}

8.3236 = \sqrt{\frac{8 \cdot 45}{3 \cdot \sqrt{3}}}

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Height of Tetrahedron given Face Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \sqrt{\frac{8 \cdot 45m²}{3 \cdot \sqrt{3}}}

Next Step Prepare to Evaluate

∴

h = \sqrt{\frac{8 \cdot 45}{3 \cdot \sqrt{3}}}

Next Step Evaluate

∴

h = 8.32358290057563m

LAST Step Rounding Answer

∴

h = 8.3236m

Height of Tetrahedron given Face Area 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

Face Area of Tetrahedron

Face Area of Tetrahedron is the quantity of plane enclosed by any equilateral triangular face of the Tetrahedron.

Symbol: A_Face

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Face Area 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 Volume

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

How to Evaluate Height of Tetrahedron given Face Area?

Height of Tetrahedron given Face Area evaluator uses Height of Tetrahedron = sqrt((8*Face Area of Tetrahedron)/(3*sqrt(3))) to evaluate the Height of Tetrahedron, The Height of Tetrahedron given Face Area 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 face area of the Tetrahedron. Height of Tetrahedron is denoted by h symbol.

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

FAQs on Height of Tetrahedron given Face Area

What is the formula to find Height of Tetrahedron given Face Area?

The formula of Height of Tetrahedron given Face Area is expressed as Height of Tetrahedron = sqrt((8*Face Area of Tetrahedron)/(3*sqrt(3))). Here is an example- 8.323583 = sqrt((8*45)/(3*sqrt(3))).

How to calculate Height of Tetrahedron given Face Area?

With Face Area of Tetrahedron (A_Face) we can find Height of Tetrahedron given Face Area using the formula - Height of Tetrahedron = sqrt((8*Face Area of Tetrahedron)/(3*sqrt(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(2/3)*(6*sqrt(2)*Volume of Tetrahedron)^(1/3)

Can the Height of Tetrahedron given Face Area be negative?

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

Which unit is used to measure Height of Tetrahedron given Face Area?

Height of Tetrahedron given Face Area 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 Face Area can be measured.

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