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Short Edge of Pentagonal Trapezohedron given Height Formula

GoShort Edge of Pentagonal Trapezohedron Formula

GoShort Edge of Pentagonal Trapezohedron given Long Edge Formula

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

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

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

Short Edge of Pentagonal Trapezohedron given Height Example

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

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

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

6.0243 = (\frac{\sqrt{5} - 1}{2}) \cdot (\frac{30}{(\sqrt{5 + 2 \cdot \sqrt{5}})})

6.0243m = (\frac{\sqrt{5} - 1}{2}) \cdot (\frac{30m}{(\sqrt{5 + 2 \cdot \sqrt{5}})})

6.0243 = (\frac{\sqrt{5} - 1}{2}) \cdot (\frac{30}{(\sqrt{5 + 2 \cdot \sqrt{5}})})

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Short Edge of Pentagonal Trapezohedron given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e(Short) = (\frac{\sqrt{5} - 1}{2}) \cdot (\frac{30m}{(\sqrt{5 + 2 \cdot \sqrt{5}})})

Next Step Prepare to Evaluate

∴

l e(Short) = (\frac{\sqrt{5} - 1}{2}) \cdot (\frac{30}{(\sqrt{5 + 2 \cdot \sqrt{5}})})

Next Step Evaluate

∴

l e(Short) = 6.02434247658682m

LAST Step Rounding Answer

∴

l e(Short) = 6.0243m

Short Edge of Pentagonal Trapezohedron given Height Formula Elements

Variables

Functions

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

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

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 Short Edge of Pentagonal Trapezohedron

Go Short Edge of Pentagonal Trapezohedron

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

Go Short Edge of Pentagonal Trapezohedron given Long Edge

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

Go Short Edge of Pentagonal Trapezohedron given Total Surface Area

l e(Short) = (\frac{\sqrt{5} - 1}{2}) \cdot (\sqrt{\frac{TSA}{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}})

Go Short Edge of Pentagonal Trapezohedron given Volume

l e(Short) = (\frac{\sqrt{5} - 1}{2}) \cdot ({(\frac{12 \cdot V}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}})

How to Evaluate Short Edge of Pentagonal Trapezohedron given Height?

Short Edge of Pentagonal Trapezohedron given Height evaluator uses Short Edge of Pentagonal Trapezohedron = ((sqrt(5)-1)/2)*(Height of Pentagonal Trapezohedron/((sqrt(5+2*sqrt(5))))) to evaluate the Short Edge of Pentagonal Trapezohedron, The Short Edge of Pentagonal Trapezohedron given Height formula is defined as the length of any of the shorter edges of the Pentagonal Trapezohedron, calculated using its height. Short Edge of Pentagonal Trapezohedron is denoted by l_e(Short) symbol.

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

FAQs on Short Edge of Pentagonal Trapezohedron given Height

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

The formula of Short Edge of Pentagonal Trapezohedron given Height is expressed as Short Edge of Pentagonal Trapezohedron = ((sqrt(5)-1)/2)*(Height of Pentagonal Trapezohedron/((sqrt(5+2*sqrt(5))))). Here is an example- 6.024342 = ((sqrt(5)-1)/2)*(30/((sqrt(5+2*sqrt(5))))).

How to calculate Short Edge of Pentagonal Trapezohedron given Height?

With Height of Pentagonal Trapezohedron (h) we can find Short Edge of Pentagonal Trapezohedron given Height using the formula - Short Edge of Pentagonal Trapezohedron = ((sqrt(5)-1)/2)*(Height of Pentagonal Trapezohedron/((sqrt(5+2*sqrt(5))))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Short Edge of Pentagonal Trapezohedron?

Here are the different ways to Calculate Short Edge of Pentagonal Trapezohedron-

Short Edge of Pentagonal Trapezohedron=((sqrt(5)-1)/2)*Antiprism Edge Length of Pentagonal Trapezohedron
Short Edge of Pentagonal Trapezohedron=((sqrt(5)-1)/2)*(Long Edge of Pentagonal Trapezohedron/(((sqrt(5)+1)/2)))
Short Edge of Pentagonal Trapezohedron=((sqrt(5)-1)/2)*(sqrt(Total Surface Area of Pentagonal Trapezohedron/((sqrt((25/2)*(5+sqrt(5)))))))

Can the Short Edge of Pentagonal Trapezohedron given Height be negative?

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

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

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

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