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Height of Tetragonal Trapezohedron given Volume Formula

GoHeight of Tetragonal Trapezohedron Formula

GoHeight of Tetragonal Trapezohedron given Short Edge Formula

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Height of Tetragonal Trapezohedron is the distance between the two peak vertices where the long edges of Tetragonal Trapezohedron join. Check FAQs

h = \sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})} \cdot ({(\frac{3 \cdot V}{\sqrt{4 + 3 \cdot \sqrt{2}}})}^{\frac{1}{3}})

h - Height of Tetragonal Trapezohedron?V - Volume of Tetragonal Trapezohedron?

Height of Tetragonal Trapezohedron given Volume Example

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Here is how the Height of Tetragonal Trapezohedron given Volume equation looks like with Values.

Here is how the Height of Tetragonal Trapezohedron given Volume equation looks like with Units.

Here is how the Height of Tetragonal Trapezohedron given Volume equation looks like.

20.3222 = \sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})} \cdot ({(\frac{3 \cdot 960}{\sqrt{4 + 3 \cdot \sqrt{2}}})}^{\frac{1}{3}})

20.3222m = \sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})} \cdot ({(\frac{3 \cdot 960m³}{\sqrt{4 + 3 \cdot \sqrt{2}}})}^{\frac{1}{3}})

20.3222 = \sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})} \cdot ({(\frac{3 \cdot 960}{\sqrt{4 + 3 \cdot \sqrt{2}}})}^{\frac{1}{3}})

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Height of Tetragonal Trapezohedron given Volume Solution

Follow our step by step solution on how to calculate Height of Tetragonal Trapezohedron given Volume?

FIRST Step Consider the formula

h = \sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})} \cdot ({(\frac{3 \cdot V}{\sqrt{4 + 3 \cdot \sqrt{2}}})}^{\frac{1}{3}})

Next Step Substitute values of Variables

∴

h = \sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})} \cdot ({(\frac{3 \cdot 960m³}{\sqrt{4 + 3 \cdot \sqrt{2}}})}^{\frac{1}{3}})

Next Step Prepare to Evaluate

∴

h = \sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})} \cdot ({(\frac{3 \cdot 960}{\sqrt{4 + 3 \cdot \sqrt{2}}})}^{\frac{1}{3}})

Next Step Evaluate

∴

h = 20.3222265063323m

LAST Step Rounding Answer

∴

h = 20.3222m

Height of Tetragonal Trapezohedron given Volume Formula Elements

Variables

Functions

Height of Tetragonal Trapezohedron

Height of Tetragonal Trapezohedron is the distance between the two peak vertices where the long edges of Tetragonal Trapezohedron join.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Tetragonal Trapezohedron

Volume of Tetragonal Trapezohedron

Volume of Tetragonal Trapezohedron is the amount of three dimensional space covered by Tetragonal Trapezohedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Tetragonal Trapezohedron

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 Tetragonal Trapezohedron

Go Height of Tetragonal Trapezohedron

h = \sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})} \cdot l e(Antiprism)

Go Height of Tetragonal Trapezohedron given Short Edge

h = \sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})} \cdot (\frac{l e(Short)}{\sqrt{\sqrt{2} - 1}})

Go Height of Tetragonal Trapezohedron given Long Edge

h = \sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})} \cdot (\frac{2 \cdot l e(Long)}{\sqrt{2 \cdot (1 + \sqrt{2})}})

Go Height of Tetragonal Trapezohedron given Total Surface Area

h = \sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})} \cdot (\sqrt{\frac{TSA}{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}})

How to Evaluate Height of Tetragonal Trapezohedron given Volume?

Height of Tetragonal Trapezohedron given Volume evaluator uses Height of Tetragonal Trapezohedron = sqrt((1/2)*(4+3*sqrt(2)))*(((3*Volume of Tetragonal Trapezohedron)/(sqrt(4+3*sqrt(2))))^(1/3)) to evaluate the Height of Tetragonal Trapezohedron, The Height of Tetragonal Trapezohedron given Volume formula is defined as the distance between the two peak vertices where the long edges of Tetragonal Trapezohedron join, calculated using its volume. Height of Tetragonal Trapezohedron is denoted by h symbol.

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

FAQs on Height of Tetragonal Trapezohedron given Volume

What is the formula to find Height of Tetragonal Trapezohedron given Volume?

The formula of Height of Tetragonal Trapezohedron given Volume is expressed as Height of Tetragonal Trapezohedron = sqrt((1/2)*(4+3*sqrt(2)))*(((3*Volume of Tetragonal Trapezohedron)/(sqrt(4+3*sqrt(2))))^(1/3)). Here is an example- 20.32223 = sqrt((1/2)*(4+3*sqrt(2)))*(((3*960)/(sqrt(4+3*sqrt(2))))^(1/3)).

How to calculate Height of Tetragonal Trapezohedron given Volume?

With Volume of Tetragonal Trapezohedron (V) we can find Height of Tetragonal Trapezohedron given Volume using the formula - Height of Tetragonal Trapezohedron = sqrt((1/2)*(4+3*sqrt(2)))*(((3*Volume of Tetragonal Trapezohedron)/(sqrt(4+3*sqrt(2))))^(1/3)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Height of Tetragonal Trapezohedron?

Here are the different ways to Calculate Height of Tetragonal Trapezohedron-

Height of Tetragonal Trapezohedron=sqrt((1/2)*(4+3*sqrt(2)))*Antiprism Edge Length of Tetragonal Trapezohedron
Height of Tetragonal Trapezohedron=sqrt((1/2)*(4+3*sqrt(2)))*(Short Edge of Tetragonal Trapezohedron/(sqrt(sqrt(2)-1)))
Height of Tetragonal Trapezohedron=sqrt((1/2)*(4+3*sqrt(2)))*((2*Long Edge of Tetragonal Trapezohedron)/(sqrt(2*(1+sqrt(2)))))

Can the Height of Tetragonal Trapezohedron given Volume be negative?

No, the Height of Tetragonal Trapezohedron given Volume, measured in Length cannot be negative.

Which unit is used to measure Height of Tetragonal Trapezohedron given Volume?

Height of Tetragonal Trapezohedron 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 Tetragonal Trapezohedron given Volume can be measured.

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