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Pentagonal Edge Length of Base of Star Pyramid given Volume Formula

GoPentagonal Edge Length of Base of Star Pyramid given Chord Length Formula

GoPentagonal Edge Length of Base of Star Pyramid Formula

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Pentagonal Edge Length of Base of Star Pyramid is the edge length of the regular pentagon from which the pentagrammic base of the Star Pyramid is constructed. Check FAQs

l e(Pentagon) = \frac{\sqrt{\frac{6 \cdot V}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot h}}}{{[phi]}^{2}}

l_e(Pentagon) - Pentagonal Edge Length of Base of Star Pyramid?V - Volume of Star Pyramid?h - Height of Star Pyramid?[phi] - Golden ratio?

Pentagonal Edge Length of Base of Star Pyramid given Volume Example

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

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

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

3.9237 = \frac{\sqrt{\frac{6 \cdot 200}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot 7}}}{{1.618}^{2}}

3.9237m = \frac{\sqrt{\frac{6 \cdot 200m³}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot 7m}}}{{1.618}^{2}}

3.9237 = \frac{\sqrt{\frac{6 \cdot 200}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot 7}}}{{1.618}^{2}}

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Pentagonal Edge Length of Base of Star Pyramid given Volume Solution

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

FIRST Step Consider the formula

l e(Pentagon) = \frac{\sqrt{\frac{6 \cdot V}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot h}}}{{[phi]}^{2}}

Next Step Substitute values of Variables

∴

l e(Pentagon) = \frac{\sqrt{\frac{6 \cdot 200m³}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot 7m}}}{{[phi]}^{2}}

Next Step Substitute values of Constants

∴

l e(Pentagon) = \frac{\sqrt{\frac{6 \cdot 200m³}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot 7m}}}{{1.618}^{2}}

Next Step Prepare to Evaluate

∴

l e(Pentagon) = \frac{\sqrt{\frac{6 \cdot 200}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot 7}}}{{1.618}^{2}}

Next Step Evaluate

∴

l e(Pentagon) = 3.92367747289454m

LAST Step Rounding Answer

∴

l e(Pentagon) = 3.9237m

Pentagonal Edge Length of Base of Star Pyramid given Volume Formula Elements

Variables

Constants

Functions

Pentagonal Edge Length of Base of Star Pyramid

Pentagonal Edge Length of Base of Star Pyramid is the edge length of the regular pentagon from which the pentagrammic base of the Star Pyramid is constructed.

Symbol: l_e(Pentagon)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pentagonal Edge Length of Base of Star Pyramid

Volume of Star Pyramid

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Star Pyramid

Height of Star Pyramid

Height of Star Pyramid is the length of the perpendicular from the apex of the Star Pyramid, where the five spikes meet to the base of the Star Pyramid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Star Pyramid

Golden ratio

The Golden ratio occurs when the ratio of two numbers is the same as the ratio of their sum to the larger of the two numbers.

Symbol: [phi]

Value: 1.61803398874989484820458683436563811

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 Pentagonal Edge Length of Base of Star Pyramid

Go Pentagonal Edge Length of Base of Star Pyramid given Chord Length

l e(Pentagon) = \frac{l c}{{[phi]}^{2}}

Go Pentagonal Edge Length of Base of Star Pyramid

l e(Pentagon) = \frac{l e(Base)}{[phi]}

Go Pentagonal Edge Length of Base of Star Pyramid given Ridge Length

l e(Pentagon) = \sqrt{\frac{({l e(Ridge)}^{2} - h^{2}) \cdot 100}{50 + (10 \cdot \sqrt{5})}}

How to Evaluate Pentagonal Edge Length of Base of Star Pyramid given Volume?

Pentagonal Edge Length of Base of Star Pyramid given Volume evaluator uses Pentagonal Edge Length of Base of Star Pyramid = (sqrt((6*Volume of Star Pyramid)/(sqrt(5*(5-(2*sqrt(5))))*Height of Star Pyramid)))/[phi]^2 to evaluate the Pentagonal Edge Length of Base of Star Pyramid, Pentagonal Edge Length of Base of Star Pyramid given Volume formula is defined as the edge length of the regular pentagon from which the pentagrammic base of the Star Pyramid is constructed and is calculated using the volume and height of the Star Pyramid. Pentagonal Edge Length of Base of Star Pyramid is denoted by l_e(Pentagon) symbol.

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

FAQs on Pentagonal Edge Length of Base of Star Pyramid given Volume

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

The formula of Pentagonal Edge Length of Base of Star Pyramid given Volume is expressed as Pentagonal Edge Length of Base of Star Pyramid = (sqrt((6*Volume of Star Pyramid)/(sqrt(5*(5-(2*sqrt(5))))*Height of Star Pyramid)))/[phi]^2. Here is an example- 3.923677 = (sqrt((6*200)/(sqrt(5*(5-(2*sqrt(5))))*7)))/[phi]^2.

How to calculate Pentagonal Edge Length of Base of Star Pyramid given Volume?

With Volume of Star Pyramid (V) & Height of Star Pyramid (h) we can find Pentagonal Edge Length of Base of Star Pyramid given Volume using the formula - Pentagonal Edge Length of Base of Star Pyramid = (sqrt((6*Volume of Star Pyramid)/(sqrt(5*(5-(2*sqrt(5))))*Height of Star Pyramid)))/[phi]^2. This formula also uses Golden ratio constant(s) and Square Root (sqrt) function(s).

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

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

Pentagonal Edge Length of Base of Star Pyramid=Chord Length of Star Pyramid/[phi]^2
Pentagonal Edge Length of Base of Star Pyramid=Edge Length of Base of Star Pyramid/([phi])
Pentagonal Edge Length of Base of Star Pyramid=sqrt(((Ridge Length of Star Pyramid^2-Height of Star Pyramid^2)*100)/(50+(10*sqrt(5))))

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

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

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

Pentagonal Edge Length of Base of Star 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 Pentagonal Edge Length of Base of Star Pyramid given Volume can be measured.

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Pentagonal Edge Length of Base of Star Pyramid given Volume Formula

​GoPentagonal Edge Length of Base of Star Pyramid given Chord Length Formula

​GoPentagonal Edge Length of Base of Star Pyramid Formula

Pentagonal Edge Length of Base of Star Pyramid given Volume Example

Pentagonal Edge Length of Base of Star Pyramid given Volume Solution

Pentagonal Edge Length of Base of Star Pyramid given Volume Formula Elements

Other Formulas to find Pentagonal Edge Length of Base of Star Pyramid

How to Evaluate Pentagonal Edge Length of Base of Star Pyramid given Volume?

FAQs on Pentagonal Edge Length of Base of Star Pyramid given Volume

Variable Name

GoPentagonal Edge Length of Base of Star Pyramid given Chord Length Formula

GoPentagonal Edge Length of Base of Star Pyramid Formula