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Edge Length of Elongated Pentagonal Pyramid given Volume 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{V}{\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}})}^{\frac{1}{3}}

l_e - Edge Length of Elongated Pentagonal Pyramid?V - Volume of Elongated Pentagonal Pyramid?

Edge Length of Elongated Pentagonal Pyramid given Volume Example

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

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

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

9.9636 = {(\frac{2000}{\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}})}^{\frac{1}{3}}

9.9636m = {(\frac{2000m³}{\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}})}^{\frac{1}{3}}

9.9636 = {(\frac{2000}{\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}})}^{\frac{1}{3}}

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Edge Length of Elongated Pentagonal Pyramid given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = {(\frac{2000m³}{\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

l e = {(\frac{2000}{\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}})}^{\frac{1}{3}}

Next Step Evaluate

∴

l e = 9.9636324107865m

LAST Step Rounding Answer

∴

l e = 9.9636m

Edge Length of Elongated Pentagonal Pyramid given Volume 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

Volume of Elongated Pentagonal Pyramid

Volume of Elongated Pentagonal Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Elongated Pentagonal Pyramid.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Surface to Volume Ratio

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}

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

Edge Length of Elongated Pentagonal Pyramid given Volume evaluator uses Edge Length of Elongated Pentagonal Pyramid = (Volume of Elongated Pentagonal Pyramid/((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4))^(1/3) to evaluate the Edge Length of Elongated Pentagonal Pyramid, The Edge Length of Elongated Pentagonal Pyramid given Volume formula is defined as the length of any edge of the Elongated Pentagonal Pyramid and is calculated using the volume 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 Volume using this online evaluator? To use this online evaluator for Edge Length of Elongated Pentagonal Pyramid given Volume, enter Volume of Elongated Pentagonal Pyramid (V) and hit the calculate button.

FAQs on Edge Length of Elongated Pentagonal Pyramid given Volume

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

The formula of Edge Length of Elongated Pentagonal Pyramid given Volume is expressed as Edge Length of Elongated Pentagonal Pyramid = (Volume of Elongated Pentagonal Pyramid/((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4))^(1/3). Here is an example- 9.963632 = (2000/((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4))^(1/3).

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

With Volume of Elongated Pentagonal Pyramid (V) we can find Edge Length of Elongated Pentagonal Pyramid given Volume using the formula - Edge Length of Elongated Pentagonal Pyramid = (Volume of Elongated Pentagonal Pyramid/((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4))^(1/3). 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=((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)

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

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

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

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

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