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Volume of Great Stellated Dodecahedron given Surface to Volume Ratio Formula

GoVolume of Great Stellated Dodecahedron Formula

GoVolume of Great Stellated Dodecahedron given Ridge Length Formula

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Volume of Great Stellated Dodecahedron is the total quantity of three-dimensional space enclosed by the surface of the Great Stellated Dodecahedron. Check FAQs

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

V - Volume of Great Stellated Dodecahedron?AV - SA:V of Great Stellated Dodecahedron?

Volume of Great Stellated Dodecahedron given Surface to Volume Ratio Example

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

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

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

6696.0851 = \frac{5}{4} \cdot (3 + \sqrt{5}) \cdot {(\frac{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (3 + \sqrt{5}) \cdot 0.7})}^{3}

6696.0851m³ = \frac{5}{4} \cdot (3 + \sqrt{5}) \cdot {(\frac{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (3 + \sqrt{5}) \cdot 0.7m⁻¹})}^{3}

6696.0851 = \frac{5}{4} \cdot (3 + \sqrt{5}) \cdot {(\frac{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (3 + \sqrt{5}) \cdot 0.7})}^{3}

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Volume of Great Stellated Dodecahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

V = 6696.08508032218m³

LAST Step Rounding Answer

∴

V = 6696.0851m³

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

Variables

Functions

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

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 Volume of Great Stellated Dodecahedron

Go Volume of Great Stellated Dodecahedron

V = \frac{5}{4} \cdot (3 + \sqrt{5}) \cdot {l e}^{3}

Go Volume of Great Stellated Dodecahedron given Ridge Length

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

Go Volume of Great Stellated Dodecahedron given Pentagram Chord

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

Go Volume of Great Stellated Dodecahedron given Circumradius

V = \frac{5}{4} \cdot (3 + \sqrt{5}) \cdot {(\frac{4 \cdot r c}{\sqrt{3} \cdot (3 + \sqrt{5})})}^{3}

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

Volume of Great Stellated Dodecahedron given Surface to Volume Ratio evaluator uses Volume of Great Stellated Dodecahedron = 5/4*(3+sqrt(5))*((15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5))*SA:V of Great Stellated Dodecahedron))^3 to evaluate the Volume of Great Stellated Dodecahedron, Volume of Great Stellated Dodecahedron given Surface to Volume Ratio formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Great Stellated Dodecahedron, calculated using its surface to volume ratio. Volume of Great Stellated Dodecahedron is denoted by V symbol.

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

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

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

The formula of Volume of Great Stellated Dodecahedron given Surface to Volume Ratio is expressed as Volume of Great Stellated Dodecahedron = 5/4*(3+sqrt(5))*((15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5))*SA:V of Great Stellated Dodecahedron))^3. Here is an example- 6696.085 = 5/4*(3+sqrt(5))*((15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5))*0.7))^3.

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

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

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

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

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

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

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

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

Volume of Great Stellated Dodecahedron given Surface to Volume Ratio is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Great Stellated Dodecahedron given Surface to Volume Ratio can be measured.

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