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Pentagram Chord of Great Stellated Dodecahedron given Volume Formula

GoPentagram Chord of Great Stellated Dodecahedron Formula

GoPentagram Chord of Great Stellated Dodecahedron given Ridge Length Formula

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Pentagram Chord of Great Stellated Dodecahedron is the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Great Stellated Dodecahedron. Check FAQs

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

l_c(Pentagram) - Pentagram Chord of Great Stellated Dodecahedron?V - Volume of Great Stellated Dodecahedron?

Pentagram Chord of Great Stellated Dodecahedron given Volume Example

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

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

Here is how the Pentagram Chord of Great Stellated Dodecahedron given Volume equation looks like.

42.3713 = (2 + \sqrt{5}) \cdot {(\frac{4 \cdot 6550}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

42.3713m = (2 + \sqrt{5}) \cdot {(\frac{4 \cdot 6550m³}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

42.3713 = (2 + \sqrt{5}) \cdot {(\frac{4 \cdot 6550}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

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Pentagram Chord of Great Stellated Dodecahedron given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

l c(Pentagram) = 42.3712806986043m

LAST Step Rounding Answer

∴

l c(Pentagram) = 42.3713m

Pentagram Chord of Great Stellated Dodecahedron given Volume Formula Elements

Variables

Functions

Pentagram Chord of Great Stellated Dodecahedron

Pentagram Chord of Great Stellated Dodecahedron is the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Great Stellated Dodecahedron.

Symbol: l_c(Pentagram)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pentagram Chord 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 Pentagram Chord of Great Stellated Dodecahedron

Go Pentagram Chord of Great Stellated Dodecahedron

l c(Pentagram) = (2 + \sqrt{5}) \cdot l e

Go Pentagram Chord of Great Stellated Dodecahedron given Ridge Length

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

Go Pentagram Chord of Great Stellated Dodecahedron given Circumradius

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

Go Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height

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

How to Evaluate Pentagram Chord of Great Stellated Dodecahedron given Volume?

Pentagram Chord of Great Stellated Dodecahedron given Volume evaluator uses Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*((4*Volume of Great Stellated Dodecahedron)/(5*(3+sqrt(5))))^(1/3) to evaluate the Pentagram Chord of Great Stellated Dodecahedron, Pentagram Chord of Great Stellated Dodecahedron given Volume formula is defined as the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Great Stellated Dodecahedron, calculated using its volume. Pentagram Chord of Great Stellated Dodecahedron is denoted by l_c(Pentagram) symbol.

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

FAQs on Pentagram Chord of Great Stellated Dodecahedron given Volume

What is the formula to find Pentagram Chord of Great Stellated Dodecahedron given Volume?

The formula of Pentagram Chord of Great Stellated Dodecahedron given Volume is expressed as Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*((4*Volume of Great Stellated Dodecahedron)/(5*(3+sqrt(5))))^(1/3). Here is an example- 42.37128 = (2+sqrt(5))*((4*6550)/(5*(3+sqrt(5))))^(1/3).

How to calculate Pentagram Chord of Great Stellated Dodecahedron given Volume?

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

What are the other ways to Calculate Pentagram Chord of Great Stellated Dodecahedron?

Here are the different ways to Calculate Pentagram Chord of Great Stellated Dodecahedron-

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

Can the Pentagram Chord of Great Stellated Dodecahedron given Volume be negative?

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

Which unit is used to measure Pentagram Chord of Great Stellated Dodecahedron given Volume?

Pentagram Chord 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 Pentagram Chord of Great Stellated Dodecahedron given Volume can be measured.

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