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Edge Length of Base of Star Pyramid Formula

GoEdge Length of Base of Star Pyramid given Pentagonal Edge Length of Base Formula

GoEdge Length of Base of Star Pyramid given Volume Formula

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Edge Length of Base of Star Pyramid is the length of the line joining any two adjacent vertices of the pentagrammic base of the Star Pyramid. Check FAQs

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

l_e(Base) - Edge Length of Base of Star Pyramid?l_c - Chord Length of Star Pyramid?[phi] - Golden ratio?

Edge Length of Base of Star Pyramid Example

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

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

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

6.1803 = \frac{10}{1.618}

6.1803m = \frac{10m}{1.618}

6.1803 = \frac{10}{1.618}

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Edge Length of Base of Star Pyramid Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e(Base) = \frac{10m}{[phi]}

Next Step Substitute values of Constants

∴

l e(Base) = \frac{10m}{1.618}

Next Step Prepare to Evaluate

∴

l e(Base) = \frac{10}{1.618}

Next Step Evaluate

∴

l e(Base) = 6.18033988749895m

LAST Step Rounding Answer

∴

l e(Base) = 6.1803m

Edge Length of Base of Star Pyramid Formula Elements

Variables

Constants

Edge Length of Base of Star Pyramid

Edge Length of Base of Star Pyramid is the length of the line joining any two adjacent vertices of the pentagrammic base of the Star Pyramid.

Symbol: l_e(Base)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Base of Star Pyramid

Chord Length of Star Pyramid

Chord Length of Star Pyramid is the length of the straight line joining two adjacent spike points or outer vertices of the base of the Star Pyramid.

Symbol: l_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Chord Length 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

Other Formulas to find Edge Length of Base of Star Pyramid

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

l e(Base) = l e(Pentagon) \cdot ([phi])

Go Edge Length of Base of Star Pyramid given Volume

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

How to Evaluate Edge Length of Base of Star Pyramid?

Edge Length of Base of Star Pyramid evaluator uses Edge Length of Base of Star Pyramid = Chord Length of Star Pyramid/([phi]) to evaluate the Edge Length of Base of Star Pyramid, Edge Length of Base of Star Pyramid formula is defined as the length of the line joining any two adjacent vertices of the pentagrammic base of the Star Pyramid. Edge Length of Base of Star Pyramid is denoted by l_e(Base) symbol.

How to evaluate Edge Length of Base of Star Pyramid using this online evaluator? To use this online evaluator for Edge Length of Base of Star Pyramid, enter Chord Length of Star Pyramid (l_c) and hit the calculate button.

FAQs on Edge Length of Base of Star Pyramid

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

The formula of Edge Length of Base of Star Pyramid is expressed as Edge Length of Base of Star Pyramid = Chord Length of Star Pyramid/([phi]). Here is an example- 6.18034 = 10/([phi]).

How to calculate Edge Length of Base of Star Pyramid?

With Chord Length of Star Pyramid (l_c) we can find Edge Length of Base of Star Pyramid using the formula - Edge Length of Base of Star Pyramid = Chord Length of Star Pyramid/([phi]). This formula also uses Golden ratio constant(s).

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

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

Edge Length of Base of Star Pyramid=Pentagonal Edge Length of Base of Star Pyramid*([phi])
Edge Length of Base of Star Pyramid=(sqrt((6*Volume of Star Pyramid)/(sqrt(5*(5-(2*sqrt(5))))*Height of Star Pyramid)))/[phi]

Can the Edge Length of Base of Star Pyramid be negative?

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

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

Edge Length of Base of Star Pyramid 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 Base of Star Pyramid can be measured.

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