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Ridge Length of Great Stellated Dodecahedron given Volume Formula

GoRidge Length of Great Stellated Dodecahedron Formula

GoRidge Length of Great Stellated Dodecahedron given Pentagram Chord Formula

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Ridge Length of Great Stellated Dodecahedron is the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Stellated Dodecahedron. Check FAQs

l Ridge = \frac{1 + \sqrt{5}}{2} \cdot {(\frac{4 \cdot V}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

l_Ridge - Ridge Length of Great Stellated Dodecahedron?V - Volume of Great Stellated Dodecahedron?

Ridge Length of Great Stellated Dodecahedron given Volume Example

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Here is how the Ridge Length of Great Stellated Dodecahedron given Volume equation looks like with Values.

Here is how the Ridge Length of Great Stellated Dodecahedron given Volume equation looks like with Units.

Here is how the Ridge Length of Great Stellated Dodecahedron given Volume equation looks like.

16.1844 = \frac{1 + \sqrt{5}}{2} \cdot {(\frac{4 \cdot 6550}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

16.1844m = \frac{1 + \sqrt{5}}{2} \cdot {(\frac{4 \cdot 6550m³}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

16.1844 = \frac{1 + \sqrt{5}}{2} \cdot {(\frac{4 \cdot 6550}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

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Ridge Length of Great Stellated Dodecahedron given Volume Solution

Follow our step by step solution on how to calculate Ridge Length of Great Stellated Dodecahedron given Volume?

FIRST Step Consider the formula

l Ridge = \frac{1 + \sqrt{5}}{2} \cdot {(\frac{4 \cdot V}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

l Ridge = \frac{1 + \sqrt{5}}{2} \cdot {(\frac{4 \cdot 6550m³}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

l Ridge = \frac{1 + \sqrt{5}}{2} \cdot {(\frac{4 \cdot 6550}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

Next Step Evaluate

∴

l Ridge = 16.1843890800045m

LAST Step Rounding Answer

∴

l Ridge = 16.1844m

Ridge Length of Great Stellated Dodecahedron given Volume Formula Elements

Variables

Functions

Ridge Length of Great Stellated Dodecahedron

Ridge Length of Great Stellated Dodecahedron is the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Stellated Dodecahedron.

Symbol: l_Ridge

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Ridge Length of Great Stellated Dodecahedron

Volume of Great Stellated Dodecahedron

Volume of Great Stellated Dodecahedron is the total quantity of three-dimensional space enclosed by the surface of the Great Stellated Dodecahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Great Stellated Dodecahedron

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 Ridge Length of Great Stellated Dodecahedron

Go Ridge Length of Great Stellated Dodecahedron

l Ridge = \frac{1 + \sqrt{5}}{2} \cdot l e

Go Ridge Length of Great Stellated Dodecahedron given Pentagram Chord

l Ridge = \frac{1 + \sqrt{5}}{2} \cdot \frac{l c(Pentagram)}{2 + \sqrt{5}}

Go Ridge Length of Great Stellated Dodecahedron given Circumradius

l Ridge = \frac{1 + \sqrt{5}}{2} \cdot \frac{4 \cdot r c}{\sqrt{3} \cdot (3 + \sqrt{5})}

Go Ridge Length of Great Stellated Dodecahedron given Pyramidal Height

l Ridge = \frac{1 + \sqrt{5}}{2} \cdot \frac{6 \cdot h Pyramid}{\sqrt{3} \cdot (3 + \sqrt{5})}

How to Evaluate Ridge Length of Great Stellated Dodecahedron given Volume?

Ridge Length of Great Stellated Dodecahedron given Volume evaluator uses Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*((4*Volume of Great Stellated Dodecahedron)/(5*(3+sqrt(5))))^(1/3) to evaluate the Ridge Length of Great Stellated Dodecahedron, Ridge Length of Great Stellated Dodecahedron given Volume formula is defined as the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Stellated Dodecahedron, calculated using its volume. Ridge Length of Great Stellated Dodecahedron is denoted by l_Ridge symbol.

How to evaluate Ridge Length of Great Stellated Dodecahedron given Volume using this online evaluator? To use this online evaluator for Ridge Length of Great Stellated Dodecahedron given Volume, enter Volume of Great Stellated Dodecahedron (V) and hit the calculate button.

FAQs on Ridge Length of Great Stellated Dodecahedron given Volume

What is the formula to find Ridge Length of Great Stellated Dodecahedron given Volume?

The formula of Ridge Length of Great Stellated Dodecahedron given Volume is expressed as Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*((4*Volume of Great Stellated Dodecahedron)/(5*(3+sqrt(5))))^(1/3). Here is an example- 16.18439 = (1+sqrt(5))/2*((4*6550)/(5*(3+sqrt(5))))^(1/3).

How to calculate Ridge Length of Great Stellated Dodecahedron given Volume?

With Volume of Great Stellated Dodecahedron (V) we can find Ridge Length of Great Stellated Dodecahedron given Volume using the formula - Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*((4*Volume of Great Stellated Dodecahedron)/(5*(3+sqrt(5))))^(1/3). This formula also uses Square Root Function function(s).

What are the other ways to Calculate Ridge Length of Great Stellated Dodecahedron?

Here are the different ways to Calculate Ridge Length of Great Stellated Dodecahedron-

Ridge Length of Great Stellated Dodecahedron=(1+sqrt(5))/2*Edge Length of Great Stellated Dodecahedron
Ridge Length of Great Stellated Dodecahedron=(1+sqrt(5))/2*Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5))
Ridge Length of Great Stellated Dodecahedron=(1+sqrt(5))/2*(4*Circumradius of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))

Can the Ridge Length of Great Stellated Dodecahedron given Volume be negative?

No, the Ridge Length of Great Stellated Dodecahedron given Volume, measured in Length cannot be negative.

Which unit is used to measure Ridge Length of Great Stellated Dodecahedron given Volume?

Ridge Length of Great Stellated Dodecahedron given Volume is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Ridge Length of Great Stellated Dodecahedron given Volume can be measured.

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