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Surface to Volume Ratio of Great Stellated Dodecahedron given Circumradius Formula

GoSurface to Volume Ratio of Great Stellated Dodecahedron Formula

GoSurface to Volume Ratio of Great Stellated Dodecahedron given Ridge Length 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{3 \cdot \sqrt{3} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{r c}

AV - SA:V of Great Stellated Dodecahedron?r_c - Circumradius of Great Stellated Dodecahedron?

Surface to Volume Ratio of Great Stellated Dodecahedron given Circumradius Example

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

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

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

0.6953 = \frac{3 \cdot \sqrt{3} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{23}

0.6953m⁻¹ = \frac{3 \cdot \sqrt{3} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{23m}

0.6953 = \frac{3 \cdot \sqrt{3} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{23}

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Surface to Volume Ratio of Great Stellated Dodecahedron given Circumradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

AV = \frac{3 \cdot \sqrt{3} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{23m}

Next Step Prepare to Evaluate

∴

AV = \frac{3 \cdot \sqrt{3} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{23}

Next Step Evaluate

∴

AV = 0.69530925078337m⁻¹

LAST Step Rounding Answer

∴

AV = 0.6953m⁻¹

Surface to Volume Ratio of Great Stellated Dodecahedron given Circumradius 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

Circumradius of Great Stellated Dodecahedron

Circumradius of Great Stellated Dodecahedron is the radius of sphere that contains Great Stellated Dodecahedron in such a way that all vertices are lying on the sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius 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 Ridge Length

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}

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 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 Circumradius?

Surface to Volume Ratio of Great Stellated Dodecahedron given Circumradius evaluator uses SA:V of Great Stellated Dodecahedron = (3*sqrt(3)*sqrt(5+(2*sqrt(5))))/Circumradius of Great Stellated Dodecahedron to evaluate the SA:V of Great Stellated Dodecahedron, Surface to Volume Ratio of Great Stellated Dodecahedron given Circumradius 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 circumradius. SA:V of Great Stellated Dodecahedron is denoted by AV symbol.

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

FAQs on Surface to Volume Ratio of Great Stellated Dodecahedron given Circumradius

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

The formula of Surface to Volume Ratio of Great Stellated Dodecahedron given Circumradius is expressed as SA:V of Great Stellated Dodecahedron = (3*sqrt(3)*sqrt(5+(2*sqrt(5))))/Circumradius of Great Stellated Dodecahedron. Here is an example- 0.695309 = (3*sqrt(3)*sqrt(5+(2*sqrt(5))))/23.

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

With Circumradius of Great Stellated Dodecahedron (r_c) we can find Surface to Volume Ratio of Great Stellated Dodecahedron given Circumradius using the formula - SA:V of Great Stellated Dodecahedron = (3*sqrt(3)*sqrt(5+(2*sqrt(5))))/Circumradius 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)))*(1+sqrt(5))/(2*Ridge 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

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

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

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

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

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