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Edge Length of Gyroelongated Pentagonal Pyramid given Height Formula

GoEdge Length of Gyroelongated Pentagonal Pyramid given Total Surface Area Formula

GoEdge Length of Gyroelongated Pentagonal Pyramid given Volume Formula

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Edge Length of Gyroelongated Pentagonal Pyramid is the length of any edge of the Gyroelongated Pentagonal Pyramid. Check FAQs

l e = \frac{h}{\sqrt{1 - \frac{4}{10 + (2 \cdot \sqrt{5})}} + \sqrt{\frac{5 - \sqrt{5}}{10}}}

l_e - Edge Length of Gyroelongated Pentagonal Pyramid?h - Height of Gyroelongated Pentagonal Pyramid?

Edge Length of Gyroelongated Pentagonal Pyramid given Height Example

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Here is how the Edge Length of Gyroelongated Pentagonal Pyramid given Height equation looks like with Values.

Here is how the Edge Length of Gyroelongated Pentagonal Pyramid given Height equation looks like with Units.

Here is how the Edge Length of Gyroelongated Pentagonal Pyramid given Height equation looks like.

10.1716 = \frac{14}{\sqrt{1 - \frac{4}{10 + (2 \cdot \sqrt{5})}} + \sqrt{\frac{5 - \sqrt{5}}{10}}}

10.1716m = \frac{14m}{\sqrt{1 - \frac{4}{10 + (2 \cdot \sqrt{5})}} + \sqrt{\frac{5 - \sqrt{5}}{10}}}

10.1716 = \frac{14}{\sqrt{1 - \frac{4}{10 + (2 \cdot \sqrt{5})}} + \sqrt{\frac{5 - \sqrt{5}}{10}}}

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Edge Length of Gyroelongated Pentagonal Pyramid given Height Solution

Follow our step by step solution on how to calculate Edge Length of Gyroelongated Pentagonal Pyramid given Height?

FIRST Step Consider the formula

l e = \frac{h}{\sqrt{1 - \frac{4}{10 + (2 \cdot \sqrt{5})}} + \sqrt{\frac{5 - \sqrt{5}}{10}}}

Next Step Substitute values of Variables

∴

l e = \frac{14m}{\sqrt{1 - \frac{4}{10 + (2 \cdot \sqrt{5})}} + \sqrt{\frac{5 - \sqrt{5}}{10}}}

Next Step Prepare to Evaluate

∴

l e = \frac{14}{\sqrt{1 - \frac{4}{10 + (2 \cdot \sqrt{5})}} + \sqrt{\frac{5 - \sqrt{5}}{10}}}

Next Step Evaluate

∴

l e = 10.1715953920751m

LAST Step Rounding Answer

∴

l e = 10.1716m

Edge Length of Gyroelongated Pentagonal Pyramid given Height Formula Elements

Variables

Functions

Edge Length of Gyroelongated Pentagonal Pyramid

Edge Length of Gyroelongated Pentagonal Pyramid is the length of any edge of the Gyroelongated Pentagonal Pyramid.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Gyroelongated Pentagonal Pyramid

Height of Gyroelongated Pentagonal Pyramid

Height of Gyroelongated Pentagonal Pyramid is the vertical distance from the highest point to the lowest point of the Gyroelongated Pentagonal Pyramid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Gyroelongated Pentagonal Pyramid

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 Edge Length of Gyroelongated Pentagonal Pyramid

Go Edge Length of Gyroelongated Pentagonal Pyramid given Total Surface Area

l e = \sqrt{\frac{SA Total}{\frac{(15 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})}}{4}}}

Go Edge Length of Gyroelongated Pentagonal Pyramid given Volume

l e = {(\frac{V}{\frac{5 \cdot (\sqrt{5} + 1) \cdot \sqrt{\frac{10 + (2 \cdot \sqrt{5})}{4} - 1}}{3 \cdot (10 - (2 \cdot \sqrt{5}))} + \frac{5 + \sqrt{5}}{24}})}^{\frac{1}{3}}

Go Edge Length of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio

l e = \frac{\frac{(15 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})}}{4}}{(\frac{5 \cdot (\sqrt{5} + 1) \cdot \sqrt{\frac{10 + (2 \cdot \sqrt{5})}{4} - 1}}{3 \cdot (10 - (2 \cdot \sqrt{5}))} + \frac{5 + \sqrt{5}}{24}) \cdot AV}

How to Evaluate Edge Length of Gyroelongated Pentagonal Pyramid given Height?

Edge Length of Gyroelongated Pentagonal Pyramid given Height evaluator uses Edge Length of Gyroelongated Pentagonal Pyramid = Height of Gyroelongated Pentagonal Pyramid/(sqrt(1-4/(10+(2*sqrt(5))))+sqrt((5-sqrt(5))/10)) to evaluate the Edge Length of Gyroelongated Pentagonal Pyramid, The Edge Length of Gyroelongated Pentagonal Pyramid given Height formula is defined as the length of any edge of the Gyroelongated Pentagonal Pyramid and is calculated using the height of the Gyroelongated Pentagonal Pyramid. Edge Length of Gyroelongated Pentagonal Pyramid is denoted by l_e symbol.

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

FAQs on Edge Length of Gyroelongated Pentagonal Pyramid given Height

What is the formula to find Edge Length of Gyroelongated Pentagonal Pyramid given Height?

The formula of Edge Length of Gyroelongated Pentagonal Pyramid given Height is expressed as Edge Length of Gyroelongated Pentagonal Pyramid = Height of Gyroelongated Pentagonal Pyramid/(sqrt(1-4/(10+(2*sqrt(5))))+sqrt((5-sqrt(5))/10)). Here is an example- 10.1716 = 14/(sqrt(1-4/(10+(2*sqrt(5))))+sqrt((5-sqrt(5))/10)).

How to calculate Edge Length of Gyroelongated Pentagonal Pyramid given Height?

With Height of Gyroelongated Pentagonal Pyramid (h) we can find Edge Length of Gyroelongated Pentagonal Pyramid given Height using the formula - Edge Length of Gyroelongated Pentagonal Pyramid = Height of Gyroelongated Pentagonal Pyramid/(sqrt(1-4/(10+(2*sqrt(5))))+sqrt((5-sqrt(5))/10)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Edge Length of Gyroelongated Pentagonal Pyramid?

Here are the different ways to Calculate Edge Length of Gyroelongated Pentagonal Pyramid-

Edge Length of Gyroelongated Pentagonal Pyramid=sqrt(TSA of Gyroelongated Pentagonal Pyramid/(((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4))
Edge Length of Gyroelongated Pentagonal Pyramid=(Volume of Gyroelongated Pentagonal Pyramid/((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24))^(1/3)
Edge Length of Gyroelongated Pentagonal Pyramid=(((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4)/(((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24)*SA:V of Gyroelongated Pentagonal Pyramid)

Can the Edge Length of Gyroelongated Pentagonal Pyramid given Height be negative?

No, the Edge Length of Gyroelongated Pentagonal Pyramid given Height, measured in Length cannot be negative.

Which unit is used to measure Edge Length of Gyroelongated Pentagonal Pyramid given Height?

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

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