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Ridge Length of Great Stellated Dodecahedron given Surface to Volume Ratio 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{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (3 + \sqrt{5}) \cdot AV}

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

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

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

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

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

16.3038 = \frac{1 + \sqrt{5}}{2} \cdot \frac{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (3 + \sqrt{5}) \cdot 0.7}

16.3038m = \frac{1 + \sqrt{5}}{2} \cdot \frac{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (3 + \sqrt{5}) \cdot 0.7m⁻¹}

16.3038 = \frac{1 + \sqrt{5}}{2} \cdot \frac{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (3 + \sqrt{5}) \cdot 0.7}

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

Follow our step by step solution on how to calculate Ridge Length of Great 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 (3 + \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 (3 + \sqrt{5}) \cdot 0.7m⁻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 (3 + \sqrt{5}) \cdot 0.7}

Next Step Evaluate

∴

l Ridge = 16.3038259936312m

LAST Step Rounding Answer

∴

l Ridge = 16.3038m

Ridge Length of Great Stellated Dodecahedron given Surface to Volume Ratio 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

SA:V of Great Stellated Dodecahedron

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

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V 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 Surface to Volume Ratio?

Ridge Length of Great Stellated Dodecahedron given Surface to Volume Ratio evaluator uses Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*(15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5))*SA:V of Great Stellated Dodecahedron) to evaluate the Ridge Length of Great Stellated Dodecahedron, Ridge Length of Great 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 Great Stellated Dodecahedron, calculated using its surface to volume ratio. Ridge Length of Great Stellated Dodecahedron is denoted by l_Ridge symbol.

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

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

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

The formula of Ridge Length of Great Stellated Dodecahedron given Surface to Volume Ratio is expressed as Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*(15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5))*SA:V of Great Stellated Dodecahedron). Here is an example- 16.30383 = (1+sqrt(5))/2*(15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5))*0.7).

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

With SA:V of Great Stellated Dodecahedron (AV) we can find Ridge Length of Great Stellated Dodecahedron given Surface to Volume Ratio using the formula - Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*(15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5))*SA:V of Great Stellated Dodecahedron). 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 Surface to Volume Ratio be negative?

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

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

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

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