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Height of Half Tetrahedron given Total Surface Area Formula

GoHeight of Half Tetrahedron Formula

GoHeight of Half Tetrahedron given Half Edges Formula

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The Height of Half Tetrahedron is defined as the measure of the vertical distance from one top to bottom face of a Half Tetrahedron. Check FAQs

h = \frac{\sqrt{\frac{TSA}{\frac{\sqrt{3}}{2} + \frac{1}{4}}}}{\sqrt{6}}

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

Height of Half Tetrahedron given Total Surface Area Example

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

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

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

4.0531 = \frac{\sqrt{\frac{110}{\frac{\sqrt{3}}{2} + \frac{1}{4}}}}{\sqrt{6}}

4.0531m = \frac{\sqrt{\frac{110m²}{\frac{\sqrt{3}}{2} + \frac{1}{4}}}}{\sqrt{6}}

4.0531 = \frac{\sqrt{\frac{110}{\frac{\sqrt{3}}{2} + \frac{1}{4}}}}{\sqrt{6}}

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Height of Half Tetrahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

h = \frac{\sqrt{\frac{TSA}{\frac{\sqrt{3}}{2} + \frac{1}{4}}}}{\sqrt{6}}

Next Step Substitute values of Variables

∴

h = \frac{\sqrt{\frac{110m²}{\frac{\sqrt{3}}{2} + \frac{1}{4}}}}{\sqrt{6}}

Next Step Prepare to Evaluate

∴

h = \frac{\sqrt{\frac{110}{\frac{\sqrt{3}}{2} + \frac{1}{4}}}}{\sqrt{6}}

Next Step Evaluate

∴

h = 4.05306601240572m

LAST Step Rounding Answer

∴

h = 4.0531m

Height of Half Tetrahedron given Total Surface Area Formula Elements

Variables

Functions

Height of Half Tetrahedron

The Height of Half Tetrahedron is defined as the measure of the vertical distance from one top to bottom face of a Half Tetrahedron.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Half Tetrahedron

Total Surface Area of Half Tetrahedron

The Total Surface Area of Half Tetrahedron is the total area or region occupied by all the faces of the Half Tetrahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Half 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 Half Tetrahedron

Go Height of Half Tetrahedron

h = \frac{l e(Tetrahedral)}{\sqrt{6}}

Go Height of Half Tetrahedron given Half Edges

h = \frac{2 \cdot l e(Half)}{\sqrt{6}}

Go Height of Half Tetrahedron given Volume

h = \frac{{(\frac{24 \cdot V}{\sqrt{2}})}^{\frac{1}{3}}}{\sqrt{6}}

Go Height of Half Tetrahedron given Surface to Volume Ratio

h = \frac{\frac{\sqrt{3}}{2} + \frac{1}{4}}{(\frac{R A/V}{12}) \cdot \sqrt{3}}

How to Evaluate Height of Half Tetrahedron given Total Surface Area?

Height of Half Tetrahedron given Total Surface Area evaluator uses Height of Half Tetrahedron = sqrt(Total Surface Area of Half Tetrahedron/(sqrt(3)/2+1/4))/sqrt(6) to evaluate the Height of Half Tetrahedron, The Height of Half Tetrahedron given Total Surface Area formula is defined as the measure of vertical distance from one top to bottom face of a Half Tetrahedron, calculated using its total surface area. Height of Half Tetrahedron is denoted by h symbol.

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

FAQs on Height of Half Tetrahedron given Total Surface Area

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

The formula of Height of Half Tetrahedron given Total Surface Area is expressed as Height of Half Tetrahedron = sqrt(Total Surface Area of Half Tetrahedron/(sqrt(3)/2+1/4))/sqrt(6). Here is an example- 4.053066 = sqrt(110/(sqrt(3)/2+1/4))/sqrt(6).

How to calculate Height of Half Tetrahedron given Total Surface Area?

With Total Surface Area of Half Tetrahedron (TSA) we can find Height of Half Tetrahedron given Total Surface Area using the formula - Height of Half Tetrahedron = sqrt(Total Surface Area of Half Tetrahedron/(sqrt(3)/2+1/4))/sqrt(6). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Height of Half Tetrahedron?

Here are the different ways to Calculate Height of Half Tetrahedron-

Height of Half Tetrahedron=Tetrahedral Edge of Half Tetrahedron/sqrt(6)
Height of Half Tetrahedron=(2*Half Edge of Half Tetrahedron)/sqrt(6)
Height of Half Tetrahedron=((24*Volume of Half Tetrahedron)/(sqrt(2)))^(1/3)/sqrt(6)

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

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

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

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

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