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Height of Pentagonal Trapezohedron given Surface to Volume Ratio Formula

GoHeight of Pentagonal Trapezohedron Formula

GoHeight of Pentagonal Trapezohedron given Short Edge Formula

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

h = (\sqrt{5 + 2 \cdot \sqrt{5}}) \cdot (\frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot AV})

h - Height of Pentagonal Trapezohedron?AV - SA:V of Pentagonal Trapezohedron?

Height of Pentagonal Trapezohedron given Surface to Volume Ratio Example

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Here is how the Height of Pentagonal Trapezohedron given Surface to Volume Ratio equation looks like with Values.

Here is how the Height of Pentagonal Trapezohedron given Surface to Volume Ratio equation looks like with Units.

Here is how the Height of Pentagonal Trapezohedron given Surface to Volume Ratio equation looks like.

33.541 = (\sqrt{5 + 2 \cdot \sqrt{5}}) \cdot (\frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot 0.4})

33.541m = (\sqrt{5 + 2 \cdot \sqrt{5}}) \cdot (\frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot 0.4m⁻¹})

33.541 = (\sqrt{5 + 2 \cdot \sqrt{5}}) \cdot (\frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot 0.4})

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Height of Pentagonal Trapezohedron given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Height of Pentagonal Trapezohedron given Surface to Volume Ratio?

FIRST Step Consider the formula

h = (\sqrt{5 + 2 \cdot \sqrt{5}}) \cdot (\frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot AV})

Next Step Substitute values of Variables

∴

h = (\sqrt{5 + 2 \cdot \sqrt{5}}) \cdot (\frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot 0.4m⁻¹})

Next Step Prepare to Evaluate

∴

h = (\sqrt{5 + 2 \cdot \sqrt{5}}) \cdot (\frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot 0.4})

Next Step Evaluate

∴

h = 33.5410196624968m

LAST Step Rounding Answer

∴

h = 33.541m

Height of Pentagonal Trapezohedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Height of Pentagonal Trapezohedron

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

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Pentagonal Trapezohedron

SA:V of Pentagonal Trapezohedron

SA:V of Pentagonal Trapezohedron is the numerical ratio of the total surface area of a Pentagonal Trapezohedron to the volume of the Pentagonal Trapezohedron.

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V of Pentagonal 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 Pentagonal Trapezohedron

Go Height of Pentagonal Trapezohedron

h = (\sqrt{5 + 2 \cdot \sqrt{5}}) \cdot l e(Antiprism)

Go Height of Pentagonal Trapezohedron given Short Edge

h = (\sqrt{5 + 2 \cdot \sqrt{5}}) \cdot (\frac{l e(Short)}{(\frac{\sqrt{5} - 1}{2})})

Go Height of Pentagonal Trapezohedron given Long Edge

h = (\sqrt{5 + 2 \cdot \sqrt{5}}) \cdot (\frac{l e(Long)}{(\frac{\sqrt{5} + 1}{2})})

Go Height of Pentagonal Trapezohedron given Total Surface Area

h = (\sqrt{5 + 2 \cdot \sqrt{5}}) \cdot (\sqrt{\frac{TSA}{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}})

How to Evaluate Height of Pentagonal Trapezohedron given Surface to Volume Ratio?

Height of Pentagonal Trapezohedron given Surface to Volume Ratio evaluator uses Height of Pentagonal Trapezohedron = (sqrt(5+2*sqrt(5)))*(((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*SA:V of Pentagonal Trapezohedron)) to evaluate the Height of Pentagonal Trapezohedron, The Height of Pentagonal Trapezohedron given Surface to Volume Ratio formula is defined as the distance between two peak vertices where long edges of the Pentagonal Trapezohedron join, calculated using its surface to volume ratio. Height of Pentagonal Trapezohedron is denoted by h symbol.

How to evaluate Height of Pentagonal Trapezohedron given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Height of Pentagonal Trapezohedron given Surface to Volume Ratio, enter SA:V of Pentagonal Trapezohedron (AV) and hit the calculate button.

FAQs on Height of Pentagonal Trapezohedron given Surface to Volume Ratio

What is the formula to find Height of Pentagonal Trapezohedron given Surface to Volume Ratio?

The formula of Height of Pentagonal Trapezohedron given Surface to Volume Ratio is expressed as Height of Pentagonal Trapezohedron = (sqrt(5+2*sqrt(5)))*(((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*SA:V of Pentagonal Trapezohedron)). Here is an example- 33.54102 = (sqrt(5+2*sqrt(5)))*(((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*0.4)).

How to calculate Height of Pentagonal Trapezohedron given Surface to Volume Ratio?

With SA:V of Pentagonal Trapezohedron (AV) we can find Height of Pentagonal Trapezohedron given Surface to Volume Ratio using the formula - Height of Pentagonal Trapezohedron = (sqrt(5+2*sqrt(5)))*(((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*SA:V of Pentagonal Trapezohedron)). This formula also uses Square Root (sqrt) function(s).

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

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

Height of Pentagonal Trapezohedron=(sqrt(5+2*sqrt(5)))*Antiprism Edge Length of Pentagonal Trapezohedron
Height of Pentagonal Trapezohedron=(sqrt(5+2*sqrt(5)))*(Short Edge of Pentagonal Trapezohedron/(((sqrt(5)-1)/2)))
Height of Pentagonal Trapezohedron=(sqrt(5+2*sqrt(5)))*(Long Edge of Pentagonal Trapezohedron/(((sqrt(5)+1)/2)))

Can the Height of Pentagonal Trapezohedron given Surface to Volume Ratio be negative?

No, the Height of Pentagonal Trapezohedron given Surface to Volume Ratio, measured in Length cannot be negative.

Which unit is used to measure Height of Pentagonal Trapezohedron given Surface to Volume Ratio?

Height of Pentagonal Trapezohedron given Surface to Volume Ratio is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Pentagonal Trapezohedron given Surface to Volume Ratio can be measured.

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