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Height of Pentagonal Trapezohedron given Short Edge Formula

GoHeight of Pentagonal Trapezohedron 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 (\frac{l e(Short)}{(\frac{\sqrt{5} - 1}{2})})

h - Height of Pentagonal Trapezohedron?l_e(Short) - Short Edge of Pentagonal Trapezohedron?

Height of Pentagonal Trapezohedron given Short Edge Example

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

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

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

29.8788 = (\sqrt{5 + 2 \cdot \sqrt{5}}) \cdot (\frac{6}{(\frac{\sqrt{5} - 1}{2})})

29.8788m = (\sqrt{5 + 2 \cdot \sqrt{5}}) \cdot (\frac{6m}{(\frac{\sqrt{5} - 1}{2})})

29.8788 = (\sqrt{5 + 2 \cdot \sqrt{5}}) \cdot (\frac{6}{(\frac{\sqrt{5} - 1}{2})})

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Height of Pentagonal Trapezohedron given Short Edge Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = (\sqrt{5 + 2 \cdot \sqrt{5}}) \cdot (\frac{6m}{(\frac{\sqrt{5} - 1}{2})})

Next Step Prepare to Evaluate

∴

h = (\sqrt{5 + 2 \cdot \sqrt{5}}) \cdot (\frac{6}{(\frac{\sqrt{5} - 1}{2})})

Next Step Evaluate

∴

h = 29.8787794185934m

LAST Step Rounding Answer

∴

h = 29.8788m

Height of Pentagonal Trapezohedron given Short Edge 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

Short Edge of Pentagonal Trapezohedron

Short Edge of Pentagonal Trapezohedron is the length of any of the shorter edges of the Pentagonal Trapezohedron.

Symbol: l_e(Short)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Edge 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 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 given Short Edge?

Height of Pentagonal Trapezohedron given Short Edge evaluator uses Height of Pentagonal Trapezohedron = (sqrt(5+2*sqrt(5)))*(Short Edge of Pentagonal Trapezohedron/(((sqrt(5)-1)/2))) to evaluate the Height of Pentagonal Trapezohedron, The Height of Pentagonal Trapezohedron given Short Edge formula is defined as the distance between two peak vertices where long edges of the Pentagonal Trapezohedron join, calculated using its short edge. Height of Pentagonal Trapezohedron is denoted by h symbol.

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

FAQs on Height of Pentagonal Trapezohedron given Short Edge

What is the formula to find Height of Pentagonal Trapezohedron given Short Edge?

The formula of Height of Pentagonal Trapezohedron given Short Edge is expressed as Height of Pentagonal Trapezohedron = (sqrt(5+2*sqrt(5)))*(Short Edge of Pentagonal Trapezohedron/(((sqrt(5)-1)/2))). Here is an example- 29.87878 = (sqrt(5+2*sqrt(5)))*(6/(((sqrt(5)-1)/2))).

How to calculate Height of Pentagonal Trapezohedron given Short Edge?

With Short Edge of Pentagonal Trapezohedron (l_e(Short)) we can find Height of Pentagonal Trapezohedron given Short Edge using the formula - Height of Pentagonal Trapezohedron = (sqrt(5+2*sqrt(5)))*(Short Edge of Pentagonal Trapezohedron/(((sqrt(5)-1)/2))). 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)))*(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 given Short Edge be negative?

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

Which unit is used to measure Height of Pentagonal Trapezohedron given Short Edge?

Height of Pentagonal Trapezohedron given Short Edge 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 Short Edge can be measured.

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