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Height of Tetrahedron given Total Surface 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{2 \cdot TSA}{3 \cdot \sqrt{3}}}

h - Height of Tetrahedron?TSA - Total Surface Area of Tetrahedron?

Height of Tetrahedron given Total Surface Area Example

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

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

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

8.0891 = \sqrt{\frac{2 \cdot 170}{3 \cdot \sqrt{3}}}

8.0891m = \sqrt{\frac{2 \cdot 170m²}{3 \cdot \sqrt{3}}}

8.0891 = \sqrt{\frac{2 \cdot 170}{3 \cdot \sqrt{3}}}

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Height of Tetrahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \sqrt{\frac{2 \cdot 170m²}{3 \cdot \sqrt{3}}}

Next Step Prepare to Evaluate

∴

h = \sqrt{\frac{2 \cdot 170}{3 \cdot \sqrt{3}}}

Next Step Evaluate

∴

h = 8.08906858100224m

LAST Step Rounding Answer

∴

h = 8.0891m

Height of Tetrahedron given Total Surface 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

Total Surface Area of Tetrahedron

Total Surface Area of Tetrahedron is the total quantity of plane enclosed by the entire surface of the Tetrahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface 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 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 Total Surface Area?

Height of Tetrahedron given Total Surface Area evaluator uses Height of Tetrahedron = sqrt((2*Total Surface Area of Tetrahedron)/(3*sqrt(3))) to evaluate the Height of Tetrahedron, The Height of Tetrahedron given Total Surface 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 total surface area of the Tetrahedron. Height of Tetrahedron is denoted by h symbol.

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

FAQs on Height of Tetrahedron given Total Surface Area

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

The formula of Height of Tetrahedron given Total Surface Area is expressed as Height of Tetrahedron = sqrt((2*Total Surface Area of Tetrahedron)/(3*sqrt(3))). Here is an example- 8.089069 = sqrt((2*170)/(3*sqrt(3))).

How to calculate Height of Tetrahedron given Total Surface Area?

With Total Surface Area of Tetrahedron (TSA) we can find Height of Tetrahedron given Total Surface Area using the formula - Height of Tetrahedron = sqrt((2*Total Surface 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((8*Face Area of Tetrahedron)/(3*sqrt(3)))

Can the Height of Tetrahedron given Total Surface Area be negative?

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

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

Height of Tetrahedron given Total Surface 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 Total Surface Area can be measured.

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