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

GoEdge Length of Gyroelongated Pentagonal Pyramid given Height Formula

GoEdge Length of Gyroelongated Pentagonal Pyramid given Total Surface Area 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{\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}

l_e - Edge Length of Gyroelongated Pentagonal Pyramid?AV - SA:V of Gyroelongated Pentagonal Pyramid?

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

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Here is how the Edge Length of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio equation looks like with Values.

Here is how the Edge Length of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio equation looks like with Units.

Here is how the Edge Length of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio equation looks like.

10.924 = \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 0.4}

10.924m = \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 0.4m⁻¹}

10.924 = \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 0.4}

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3D Geometry » fx Edge Length of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio

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

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

FIRST Step Consider the formula

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}

Next Step Substitute values of Variables

∴

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 0.4m⁻¹}

Next Step Prepare to Evaluate

∴

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 0.4}

Next Step Evaluate

∴

l e = 10.9239737717958m

LAST Step Rounding Answer

∴

l e = 10.924m

Edge Length of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio 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

SA:V of Gyroelongated Pentagonal Pyramid

SA:V of Gyroelongated Pentagonal Pyramid is the numerical ratio of the total surface area of the Gyroelongated Pentagonal Pyramid to the volume of the Gyroelongated Pentagonal Pyramid.

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V 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 Height

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

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}}

How to Evaluate Edge Length of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio?

Edge Length of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio evaluator uses 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) to evaluate the Edge Length of Gyroelongated Pentagonal Pyramid, The Edge Length of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio formula is defined as the length of any edge of the Gyroelongated Pentagonal Pyramid and is calculated using the surface to volume ratio 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 Surface to Volume Ratio using this online evaluator? To use this online evaluator for Edge Length of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio, enter SA:V of Gyroelongated Pentagonal Pyramid (AV) and hit the calculate button.

FAQs on Edge Length of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio

What is the formula to find Edge Length of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio?

The formula of Edge Length of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio is expressed as 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). Here is an example- 10.92397 = (((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)*0.4).

How to calculate Edge Length of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio?

With SA:V of Gyroelongated Pentagonal Pyramid (AV) we can find Edge Length of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio using the formula - 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). This formula also uses Square Root Function 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=Height of Gyroelongated Pentagonal Pyramid/(sqrt(1-4/(10+(2*sqrt(5))))+sqrt((5-sqrt(5))/10))
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)

Can the Edge Length of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio be negative?

No, the Edge Length of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio, measured in Length cannot be negative.

Which unit is used to measure Edge Length of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio?

Edge Length of Gyroelongated Pentagonal Pyramid 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 Edge Length of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio can be measured.

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