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Ridge Length of Small Stellated Dodecahedron given Surface to Volume Ratio Formula

GoRidge Length of Small Stellated Dodecahedron Formula

GoRidge Length of Small Stellated Dodecahedron given Pentagram Chord Formula

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

l Ridge = (\frac{1 + \sqrt{5}}{2}) \cdot (\frac{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}{(\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5}) \cdot AV})

l_Ridge - Ridge Length of Small Stellated Dodecahedron?AV - SA:V of Small Stellated Dodecahedron?

Ridge Length of Small Stellated Dodecahedron given Surface to Volume Ratio Example

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Here is how the Ridge Length of Small Stellated Dodecahedron given Surface to Volume Ratio equation looks like with Values.

Here is how the Ridge Length of Small Stellated Dodecahedron given Surface to Volume Ratio equation looks like with Units.

Here is how the Ridge Length of Small Stellated Dodecahedron given Surface to Volume Ratio equation looks like.

14.5309 = (\frac{1 + \sqrt{5}}{2}) \cdot (\frac{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}{(\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5}) \cdot 0.3})

14.5309m = (\frac{1 + \sqrt{5}}{2}) \cdot (\frac{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}{(\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5}) \cdot 0.3m⁻¹})

14.5309 = (\frac{1 + \sqrt{5}}{2}) \cdot (\frac{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}{(\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5}) \cdot 0.3})

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Ridge Length of Small Stellated Dodecahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

l Ridge = (\frac{1 + \sqrt{5}}{2}) \cdot (\frac{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}{(\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5}) \cdot AV})

Next Step Substitute values of Variables

∴

l Ridge = (\frac{1 + \sqrt{5}}{2}) \cdot (\frac{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}{(\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5}) \cdot 0.3m⁻¹})

Next Step Prepare to Evaluate

∴

l Ridge = (\frac{1 + \sqrt{5}}{2}) \cdot (\frac{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}{(\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5}) \cdot 0.3})

Next Step Evaluate

∴

l Ridge = 14.5308505601072m

LAST Step Rounding Answer

∴

l Ridge = 14.5309m

Ridge Length of Small Stellated Dodecahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Ridge Length of Small Stellated Dodecahedron

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

Symbol: l_Ridge

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Ridge Length of Small Stellated Dodecahedron

SA:V of Small Stellated Dodecahedron

SA:V of Small Stellated Dodecahedron is the numerical ratio of the total surface area of a Small Stellated Dodecahedron to the volume of the Small Stellated Dodecahedron.

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V of Small 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 Small Stellated Dodecahedron

Go Ridge Length of Small Stellated Dodecahedron

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

Go Ridge Length of Small Stellated Dodecahedron given Pentagram Chord

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

Go Ridge Length of Small Stellated Dodecahedron given Circumradius

l Ridge = (\frac{1 + \sqrt{5}}{2}) \cdot (\frac{4 \cdot r c}{\sqrt{50 + 22 \cdot \sqrt{5}}})

Go Ridge Length of Small Stellated Dodecahedron given Pyramidal Height

l Ridge = (\frac{1 + \sqrt{5}}{2}) \cdot (\frac{5 \cdot h Pyramid}{\sqrt{25 + 10 \cdot \sqrt{5}}})

How to Evaluate Ridge Length of Small Stellated Dodecahedron given Surface to Volume Ratio?

Ridge Length of Small Stellated Dodecahedron given Surface to Volume Ratio evaluator uses Ridge Length of Small Stellated Dodecahedron = ((1+sqrt(5))/2)*((15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*SA:V of Small Stellated Dodecahedron)) to evaluate the Ridge Length of Small Stellated Dodecahedron, Ridge Length of Small Stellated Dodecahedron given Surface to Volume Ratio formula is defined as the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Small Stellated Dodecahedron, calculated using its surface to volume ratio. Ridge Length of Small Stellated Dodecahedron is denoted by l_Ridge symbol.

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

FAQs on Ridge Length of Small Stellated Dodecahedron given Surface to Volume Ratio

What is the formula to find Ridge Length of Small Stellated Dodecahedron given Surface to Volume Ratio?

The formula of Ridge Length of Small Stellated Dodecahedron given Surface to Volume Ratio is expressed as Ridge Length of Small Stellated Dodecahedron = ((1+sqrt(5))/2)*((15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*SA:V of Small Stellated Dodecahedron)). Here is an example- 14.53085 = ((1+sqrt(5))/2)*((15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*0.3)).

How to calculate Ridge Length of Small Stellated Dodecahedron given Surface to Volume Ratio?

With SA:V of Small Stellated Dodecahedron (AV) we can find Ridge Length of Small Stellated Dodecahedron given Surface to Volume Ratio using the formula - Ridge Length of Small Stellated Dodecahedron = ((1+sqrt(5))/2)*((15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*SA:V of Small Stellated Dodecahedron)). This formula also uses Square Root (sqrt) function(s).

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

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

Ridge Length of Small Stellated Dodecahedron=((1+sqrt(5))/2)*Edge Length of Small Stellated Dodecahedron
Ridge Length of Small Stellated Dodecahedron=((1+sqrt(5))/2)*(Pentagram Chord of Small Stellated Dodecahedron/(2+sqrt(5)))
Ridge Length of Small Stellated Dodecahedron=((1+sqrt(5))/2)*((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5))))

Can the Ridge Length of Small Stellated Dodecahedron given Surface to Volume Ratio be negative?

No, the Ridge Length of Small Stellated Dodecahedron given Surface to Volume Ratio, measured in Length cannot be negative.

Which unit is used to measure Ridge Length of Small Stellated Dodecahedron given Surface to Volume Ratio?

Ridge Length of Small Stellated Dodecahedron given Surface to Volume Ratio 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 Small Stellated Dodecahedron given Surface to Volume Ratio can be measured.

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