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Edge Length of Base of Star Pyramid given Volume Formula

GoEdge Length of Base of Star Pyramid Formula

GoEdge Length of Base of Star Pyramid given Pentagonal Edge Length of Base 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{\sqrt{\frac{6 \cdot V}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot h}}}{[phi]}

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

Edge Length of Base of Star Pyramid given Volume Example

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

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

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

6.3486 = \frac{\sqrt{\frac{6 \cdot 200}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot 7}}}{1.618}

6.3486m = \frac{\sqrt{\frac{6 \cdot 200m³}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot 7m}}}{1.618}

6.3486 = \frac{\sqrt{\frac{6 \cdot 200}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot 7}}}{1.618}

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Edge Length of Base of Star Pyramid given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

l e(Base) = 6.34864351203566m

LAST Step Rounding Answer

∴

l e(Base) = 6.3486m

Edge Length of Base of Star Pyramid given Volume Formula Elements

Variables

Constants

Functions

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

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 Edge Length of Base of Star Pyramid

Go Edge Length of Base of Star Pyramid

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

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

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

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

Edge Length of Base of Star Pyramid given Volume evaluator uses Edge Length of Base of Star Pyramid = (sqrt((6*Volume of Star Pyramid)/(sqrt(5*(5-(2*sqrt(5))))*Height of Star Pyramid)))/[phi] to evaluate the Edge Length of Base of Star Pyramid, Edge Length of Base of Star Pyramid given Volume formula is defined as the length of the line joining any two adjacent vertices of the pentagrammic base of the Star Pyramid and is calculated using the volume and height 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 given Volume using this online evaluator? To use this online evaluator for 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 Edge Length of Base of Star Pyramid given Volume

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

The formula of Edge Length of Base of Star Pyramid given Volume is expressed as Edge Length of Base of Star Pyramid = (sqrt((6*Volume of Star Pyramid)/(sqrt(5*(5-(2*sqrt(5))))*Height of Star Pyramid)))/[phi]. Here is an example- 6.348644 = (sqrt((6*200)/(sqrt(5*(5-(2*sqrt(5))))*7)))/[phi].

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

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

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

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

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

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

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Edge Length of Base of Star Pyramid given Volume Formula

​GoEdge Length of Base of Star Pyramid Formula

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

Edge Length of Base of Star Pyramid given Volume Example

Edge Length of Base of Star Pyramid given Volume Solution

Edge Length of Base of Star Pyramid given Volume Formula Elements

Other Formulas to find Edge Length of Base of Star Pyramid

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

FAQs on Edge Length of Base of Star Pyramid given Volume

Variable Name

GoEdge Length of Base of Star Pyramid Formula

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