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

GoEdge Length of Elongated Pentagonal Pyramid given Height Formula

GoEdge Length of Elongated Pentagonal Pyramid given Total Surface Area Formula

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

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

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

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

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

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

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

10.9862 = \frac{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5}{(\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}) \cdot 0.4}

10.9862m = \frac{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5}{(\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}) \cdot 0.4m⁻¹}

10.9862 = \frac{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5}{(\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}) \cdot 0.4}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = \frac{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5}{(\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}) \cdot 0.4m⁻¹}

Next Step Prepare to Evaluate

∴

l e = \frac{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5}{(\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}) \cdot 0.4}

Next Step Evaluate

∴

l e = 10.9861866662928m

LAST Step Rounding Answer

∴

l e = 10.9862m

Edge Length of Elongated Pentagonal Pyramid given Surface to Volume Ratio Formula Elements

Variables

Functions

Edge Length of Elongated Pentagonal Pyramid

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

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Elongated Pentagonal Pyramid

SA:V of Elongated Pentagonal Pyramid

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

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V of Elongated 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 Elongated Pentagonal Pyramid

Go Edge Length of Elongated Pentagonal Pyramid given Height

l e = \frac{h}{\sqrt{\frac{5 - \sqrt{5}}{10}} + 1}

Go Edge Length of Elongated Pentagonal Pyramid given Total Surface Area

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

Go Edge Length of Elongated Pentagonal Pyramid given Volume

l e = {(\frac{V}{\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}})}^{\frac{1}{3}}

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

Edge Length of Elongated Pentagonal Pyramid given Surface to Volume Ratio evaluator uses Edge Length of Elongated Pentagonal Pyramid = ((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*SA:V of Elongated Pentagonal Pyramid) to evaluate the Edge Length of Elongated Pentagonal Pyramid, The Edge Length of Elongated Pentagonal Pyramid given Surface to Volume Ratio formula is defined as the length of any edge of the Elongated Pentagonal Pyramid and is calculated using the surface to volume ratio of the Elongated Pentagonal Pyramid. Edge Length of Elongated Pentagonal Pyramid is denoted by l_e symbol.

How to evaluate Edge Length of Elongated Pentagonal Pyramid given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Edge Length of Elongated Pentagonal Pyramid given Surface to Volume Ratio, enter SA:V of Elongated Pentagonal Pyramid (AV) and hit the calculate button.

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

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

The formula of Edge Length of Elongated Pentagonal Pyramid given Surface to Volume Ratio is expressed as Edge Length of Elongated Pentagonal Pyramid = ((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*SA:V of Elongated Pentagonal Pyramid). Here is an example- 10.98619 = ((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*0.4).

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

With SA:V of Elongated Pentagonal Pyramid (AV) we can find Edge Length of Elongated Pentagonal Pyramid given Surface to Volume Ratio using the formula - Edge Length of Elongated Pentagonal Pyramid = ((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*SA:V of Elongated Pentagonal Pyramid). This formula also uses Square Root (sqrt) function(s).

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

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

Edge Length of Elongated Pentagonal Pyramid=Height of Elongated Pentagonal Pyramid/(sqrt((5-sqrt(5))/10)+1)
Edge Length of Elongated Pentagonal Pyramid=sqrt(Total Surface Area of Elongated Pentagonal Pyramid/((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5))
Edge Length of Elongated Pentagonal Pyramid=(Volume of Elongated Pentagonal Pyramid/((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4))^(1/3)

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

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

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

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

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