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

GoSurface to Volume Ratio of Great Stellated Dodecahedron Formula

GoSurface to Volume Ratio of Great Stellated Dodecahedron given Pentagram Chord Formula

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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. Check FAQs

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

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

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

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

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

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

0.7133 = \frac{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (3 + \sqrt{5})} \cdot \frac{1 + \sqrt{5}}{2 \cdot 16}

0.7133m⁻¹ = \frac{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (3 + \sqrt{5})} \cdot \frac{1 + \sqrt{5}}{2 \cdot 16m}

0.7133 = \frac{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (3 + \sqrt{5})} \cdot \frac{1 + \sqrt{5}}{2 \cdot 16}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

AV = \frac{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (3 + \sqrt{5})} \cdot \frac{1 + \sqrt{5}}{2 \cdot 16m}

Next Step Prepare to Evaluate

∴

AV = \frac{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (3 + \sqrt{5})} \cdot \frac{1 + \sqrt{5}}{2 \cdot 16}

Next Step Evaluate

∴

AV = 0.713292387221365m⁻¹

LAST Step Rounding Answer

∴

AV = 0.7133m⁻¹

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

Variables

Functions

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

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

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 SA:V of Great Stellated Dodecahedron

Go Surface to Volume Ratio of Great Stellated Dodecahedron

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

Go Surface to Volume Ratio of Great Stellated Dodecahedron given Pentagram Chord

AV = \frac{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (3 + \sqrt{5})} \cdot \frac{2 + \sqrt{5}}{l c(Pentagram)}

Go Surface to Volume Ratio of Great Stellated Dodecahedron given Circumradius

AV = \frac{3 \cdot \sqrt{3} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{r c}

Go Surface to Volume Ratio of Great Stellated Dodecahedron given Pyramidal Height

AV = \frac{2 \cdot \sqrt{3} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{h Pyramid}

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

Surface to Volume Ratio of Great Stellated Dodecahedron given Ridge Length evaluator uses SA:V of Great Stellated Dodecahedron = (15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5)))*(1+sqrt(5))/(2*Ridge Length of Great Stellated Dodecahedron) to evaluate the SA:V of Great Stellated Dodecahedron, Surface to Volume Ratio of Great Stellated Dodecahedron given Ridge Length formula is defined as the numerical ratio of the total surface area of a Great Stellated Dodecahedron to the volume of the Great Stellated Dodecahedron, calculated using its ridge length. SA:V of Great Stellated Dodecahedron is denoted by AV symbol.

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

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

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

The formula of Surface to Volume Ratio of Great Stellated Dodecahedron given Ridge Length is expressed as SA:V of Great Stellated Dodecahedron = (15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5)))*(1+sqrt(5))/(2*Ridge Length of Great Stellated Dodecahedron). Here is an example- 0.713292 = (15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5)))*(1+sqrt(5))/(2*16).

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

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

What are the other ways to Calculate SA:V of Great Stellated Dodecahedron?

Here are the different ways to Calculate SA:V of Great Stellated Dodecahedron-

SA:V of Great Stellated Dodecahedron=(15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5))*Edge Length of Great Stellated Dodecahedron)
SA:V of Great Stellated Dodecahedron=(15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5)))*(2+sqrt(5))/Pentagram Chord of Great Stellated Dodecahedron
SA:V of Great Stellated Dodecahedron=(3*sqrt(3)*sqrt(5+(2*sqrt(5))))/Circumradius of Great Stellated Dodecahedron

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

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

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

Surface to Volume Ratio of Great Stellated Dodecahedron given Ridge Length is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Great Stellated Dodecahedron given Ridge Length can be measured.

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