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Volume of Small Stellated Dodecahedron given Surface to Volume Ratio Formula

GoVolume of Small Stellated Dodecahedron Formula

GoVolume of Small Stellated Dodecahedron given Ridge Length Formula

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

V = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}{(\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5}) \cdot AV})}^{3})

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

Volume of Small Stellated Dodecahedron given Surface to Volume Ratio Example

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

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

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

12410.828 = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}{(\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5}) \cdot 0.3})}^{3})

12410.828m³ = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}{(\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5}) \cdot 0.3m⁻¹})}^{3})

12410.828 = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}{(\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5}) \cdot 0.3})}^{3})

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Volume of Small Stellated Dodecahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

V = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}{(\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5}) \cdot AV})}^{3})

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

V = 12410.8280346679m³

LAST Step Rounding Answer

∴

V = 12410.828m³

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

Variables

Functions

Volume of Small Stellated Dodecahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Volume of Small Stellated Dodecahedron

Go Volume of Small Stellated Dodecahedron

V = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(l e)}^{3})

Go Volume of Small Stellated Dodecahedron given Ridge Length

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

Go Volume of Small Stellated Dodecahedron given Pentagram Chord

V = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{l c(Pentagram)}{2 + \sqrt{5}})}^{3})

Go Volume of Small Stellated Dodecahedron given Circumradius

V = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{4 \cdot r c}{\sqrt{50 + 22 \cdot \sqrt{5}}})}^{3})

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

Volume of Small Stellated Dodecahedron given Surface to Volume Ratio evaluator uses Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*(((15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*SA:V of Small Stellated Dodecahedron))^3) to evaluate the Volume of Small Stellated Dodecahedron, Volume of Small Stellated Dodecahedron given Surface to Volume Ratio formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Small Stellated Dodecahedron, calculated using its surface to volume ratio. Volume of Small Stellated Dodecahedron is denoted by V symbol.

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

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

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

The formula of Volume of Small Stellated Dodecahedron given Surface to Volume Ratio is expressed as Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*(((15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*SA:V of Small Stellated Dodecahedron))^3). Here is an example- 12410.83 = ((5/4)*(7+3*sqrt(5)))*(((15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*0.3))^3).

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

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

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

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

Volume of Small Stellated Dodecahedron=((5/4)*(7+3*sqrt(5)))*((Edge Length of Small Stellated Dodecahedron)^3)
Volume of Small Stellated Dodecahedron=((5/4)*(7+3*sqrt(5)))*(((2*Ridge Length of Small Stellated Dodecahedron)/(1+sqrt(5)))^3)
Volume of Small Stellated Dodecahedron=((5/4)*(7+3*sqrt(5)))*((Pentagram Chord of Small Stellated Dodecahedron/(2+sqrt(5)))^3)

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

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

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

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

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