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Height of Half Tetrahedron given Volume 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{{(\frac{24 \cdot V}{\sqrt{2}})}^{\frac{1}{3}}}{\sqrt{6}}

h - Height of Half Tetrahedron?V - Volume of Half Tetrahedron?

Height of Half Tetrahedron given Volume Example

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

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

Here is how the Height of Half Tetrahedron given Volume equation looks like.

3.9897 = \frac{{(\frac{24 \cdot 55}{\sqrt{2}})}^{\frac{1}{3}}}{\sqrt{6}}

3.9897m = \frac{{(\frac{24 \cdot 55m³}{\sqrt{2}})}^{\frac{1}{3}}}{\sqrt{6}}

3.9897 = \frac{{(\frac{24 \cdot 55}{\sqrt{2}})}^{\frac{1}{3}}}{\sqrt{6}}

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Height of Half Tetrahedron given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \frac{{(\frac{24 \cdot 55m³}{\sqrt{2}})}^{\frac{1}{3}}}{\sqrt{6}}

Next Step Prepare to Evaluate

∴

h = \frac{{(\frac{24 \cdot 55}{\sqrt{2}})}^{\frac{1}{3}}}{\sqrt{6}}

Next Step Evaluate

∴

h = 3.9897347120612m

LAST Step Rounding Answer

∴

h = 3.9897m

Height of Half Tetrahedron given Volume 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

Volume of Half Tetrahedron

The Volume of Half Tetrahedron is the amount of three-dimensional space that is enclosed by a Half Tetrahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Total Surface Area

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

Height of Half Tetrahedron given Volume evaluator uses Height of Half Tetrahedron = ((24*Volume of Half Tetrahedron)/(sqrt(2)))^(1/3)/sqrt(6) to evaluate the Height of Half Tetrahedron, The Height of Half Tetrahedron given Volume formula is defined as the measure of vertical distance from one top to bottom face of Half Tetrahedron, calculated using its volume. Height of Half Tetrahedron is denoted by h symbol.

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

FAQs on Height of Half Tetrahedron given Volume

What is the formula to find Height of Half Tetrahedron given Volume?

The formula of Height of Half Tetrahedron given Volume is expressed as Height of Half Tetrahedron = ((24*Volume of Half Tetrahedron)/(sqrt(2)))^(1/3)/sqrt(6). Here is an example- 3.989735 = ((24*55)/(sqrt(2)))^(1/3)/sqrt(6).

How to calculate Height of Half Tetrahedron given Volume?

With Volume of Half Tetrahedron (V) we can find Height of Half Tetrahedron given Volume using the formula - Height of Half Tetrahedron = ((24*Volume of Half Tetrahedron)/(sqrt(2)))^(1/3)/sqrt(6). This formula also uses Square Root Function 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=sqrt(Total Surface Area of Half Tetrahedron/(sqrt(3)/2+1/4))/sqrt(6)

Can the Height of Half Tetrahedron given Volume be negative?

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

Which unit is used to measure Height of Half Tetrahedron given Volume?

Height of Half Tetrahedron given Volume 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 Volume can be measured.

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