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Height of Pentagonal Trapezohedron Formula

GoHeight of Pentagonal Trapezohedron given Short Edge Formula

GoHeight of Pentagonal Trapezohedron given Long 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 l e(Antiprism)

h - Height of Pentagonal Trapezohedron?l_e(Antiprism) - Antiprism Edge Length of Pentagonal Trapezohedron?

Height of Pentagonal Trapezohedron Example

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Here is how the Height of Pentagonal Trapezohedron equation looks like with Values.

Here is how the Height of Pentagonal Trapezohedron equation looks like with Units.

Here is how the Height of Pentagonal Trapezohedron equation looks like.

30.7768 = (\sqrt{5 + 2 \cdot \sqrt{5}}) \cdot 10

30.7768m = (\sqrt{5 + 2 \cdot \sqrt{5}}) \cdot 10m

30.7768 = (\sqrt{5 + 2 \cdot \sqrt{5}}) \cdot 10

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Height of Pentagonal Trapezohedron Solution

Follow our step by step solution on how to calculate Height of Pentagonal Trapezohedron?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = (\sqrt{5 + 2 \cdot \sqrt{5}}) \cdot 10m

Next Step Prepare to Evaluate

∴

h = (\sqrt{5 + 2 \cdot \sqrt{5}}) \cdot 10

Next Step Evaluate

∴

h = 30.7768353717525m

LAST Step Rounding Answer

∴

h = 30.7768m

Height of Pentagonal Trapezohedron 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

Antiprism Edge Length of Pentagonal Trapezohedron

Antiprism Edge Length of Pentagonal Trapezohedron is the distance between any pair of adjacent vertices of the antiprism which corresponds to the Pentagonal Trapezohedron.

Symbol: l_e(Antiprism)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Antiprism Edge Length 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 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})})}})

Go Height of Pentagonal Trapezohedron given Volume

h = (\sqrt{5 + 2 \cdot \sqrt{5}}) \cdot ({(\frac{12 \cdot V}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}})

How to Evaluate Height of Pentagonal Trapezohedron?

Height of Pentagonal Trapezohedron evaluator uses Height of Pentagonal Trapezohedron = (sqrt(5+2*sqrt(5)))*Antiprism Edge Length of Pentagonal Trapezohedron to evaluate the Height of Pentagonal Trapezohedron, The Height of Pentagonal Trapezohedron formula is defined as the distance between two peak vertices where long edges of the Pentagonal Trapezohedron join. Height of Pentagonal Trapezohedron is denoted by h symbol.

How to evaluate Height of Pentagonal Trapezohedron using this online evaluator? To use this online evaluator for Height of Pentagonal Trapezohedron, enter Antiprism Edge Length of Pentagonal Trapezohedron (l_e(Antiprism)) and hit the calculate button.

FAQs on Height of Pentagonal Trapezohedron

What is the formula to find Height of Pentagonal Trapezohedron?

The formula of Height of Pentagonal Trapezohedron is expressed as Height of Pentagonal Trapezohedron = (sqrt(5+2*sqrt(5)))*Antiprism Edge Length of Pentagonal Trapezohedron. Here is an example- 30.77684 = (sqrt(5+2*sqrt(5)))*10.

How to calculate Height of Pentagonal Trapezohedron?

With Antiprism Edge Length of Pentagonal Trapezohedron (l_e(Antiprism)) we can find Height of Pentagonal Trapezohedron using the formula - Height of Pentagonal Trapezohedron = (sqrt(5+2*sqrt(5)))*Antiprism Edge Length 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)))*(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)))
Height of Pentagonal Trapezohedron=(sqrt(5+2*sqrt(5)))*(sqrt(Total Surface Area of Pentagonal Trapezohedron/((sqrt((25/2)*(5+sqrt(5)))))))

Can the Height of Pentagonal Trapezohedron be negative?

No, the Height of Pentagonal Trapezohedron, measured in Length cannot be negative.

Which unit is used to measure Height of Pentagonal Trapezohedron?

Height of Pentagonal Trapezohedron 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 can be measured.

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