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Volume of Icosidodecahedron given Surface to Volume Ratio Formula

GoVolume of Icosidodecahedron Formula

GoVolume of Icosidodecahedron given Total Surface Area Formula

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Volume of Icosidodecahedron is the total quantity of three dimensional space enclosed by the surface of the Icosidodecahedron. Check FAQs

V = \frac{45 + (17 \cdot \sqrt{5})}{6} \cdot {(\frac{6 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{R A/V \cdot (45 + (17 \cdot \sqrt{5}))})}^{3}

V - Volume of Icosidodecahedron?R_A/V - Surface to Volume Ratio of Icosidodecahedron?

Volume of Icosidodecahedron given Surface to Volume Ratio Example

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

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

Here is how the Volume of Icosidodecahedron given Surface to Volume Ratio equation looks like.

16435.6748 = \frac{45 + (17 \cdot \sqrt{5})}{6} \cdot {(\frac{6 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{0.2 \cdot (45 + (17 \cdot \sqrt{5}))})}^{3}

16435.6748m³ = \frac{45 + (17 \cdot \sqrt{5})}{6} \cdot {(\frac{6 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{0.2m⁻¹ \cdot (45 + (17 \cdot \sqrt{5}))})}^{3}

16435.6748 = \frac{45 + (17 \cdot \sqrt{5})}{6} \cdot {(\frac{6 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{0.2 \cdot (45 + (17 \cdot \sqrt{5}))})}^{3}

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Volume of Icosidodecahedron given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Volume of Icosidodecahedron given Surface to Volume Ratio?

FIRST Step Consider the formula

V = \frac{45 + (17 \cdot \sqrt{5})}{6} \cdot {(\frac{6 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{R A/V \cdot (45 + (17 \cdot \sqrt{5}))})}^{3}

Next Step Substitute values of Variables

∴

V = \frac{45 + (17 \cdot \sqrt{5})}{6} \cdot {(\frac{6 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{0.2m⁻¹ \cdot (45 + (17 \cdot \sqrt{5}))})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{45 + (17 \cdot \sqrt{5})}{6} \cdot {(\frac{6 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{0.2 \cdot (45 + (17 \cdot \sqrt{5}))})}^{3}

Next Step Evaluate

∴

V = 16435.6748327955m³

LAST Step Rounding Answer

∴

V = 16435.6748m³

Volume of Icosidodecahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Volume of Icosidodecahedron

Volume of Icosidodecahedron is the total quantity of three dimensional space enclosed by the surface of the Icosidodecahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Icosidodecahedron

Surface to Volume Ratio of Icosidodecahedron

Surface to Volume Ratio of Icosidodecahedron is the numerical ratio of the total surface area of a Icosidodecahedron to the volume of the Icosidodecahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Icosidodecahedron

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 Icosidodecahedron

Go Volume of Icosidodecahedron

V = \frac{45 + (17 \cdot \sqrt{5})}{6} \cdot {l e}^{3}

Go Volume of Icosidodecahedron given Total Surface Area

V = \frac{45 + (17 \cdot \sqrt{5})}{6} \cdot {(\sqrt{\frac{TSA}{(5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}})}^{3}

Go Volume of Icosidodecahedron given Circumsphere Radius

V = \frac{45 + (17 \cdot \sqrt{5})}{6} \cdot {(\frac{2 \cdot r c}{1 + \sqrt{5}})}^{3}

Go Volume of Icosidodecahedron given Midsphere Radius

V = \frac{45 + (17 \cdot \sqrt{5})}{6} \cdot {(\frac{2 \cdot r m}{\sqrt{5 + (2 \cdot \sqrt{5})}})}^{3}

How to Evaluate Volume of Icosidodecahedron given Surface to Volume Ratio?

Volume of Icosidodecahedron given Surface to Volume Ratio evaluator uses Volume of Icosidodecahedron = (45+(17*sqrt(5)))/6*((6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio of Icosidodecahedron*(45+(17*sqrt(5)))))^3 to evaluate the Volume of Icosidodecahedron, Volume of Icosidodecahedron given Surface to Volume Ratio is defined as the total quantity of three dimensional space enclosed by the surface of the Icosidodecahedron, and calculated using the surface to volume ratio of the Icosidodecahedron. Volume of Icosidodecahedron is denoted by V symbol.

How to evaluate Volume of Icosidodecahedron given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Volume of Icosidodecahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Icosidodecahedron (R_A/V) and hit the calculate button.

FAQs on Volume of Icosidodecahedron given Surface to Volume Ratio

What is the formula to find Volume of Icosidodecahedron given Surface to Volume Ratio?

The formula of Volume of Icosidodecahedron given Surface to Volume Ratio is expressed as Volume of Icosidodecahedron = (45+(17*sqrt(5)))/6*((6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio of Icosidodecahedron*(45+(17*sqrt(5)))))^3. Here is an example- 16435.67 = (45+(17*sqrt(5)))/6*((6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(0.2*(45+(17*sqrt(5)))))^3.

How to calculate Volume of Icosidodecahedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Icosidodecahedron (R_A/V) we can find Volume of Icosidodecahedron given Surface to Volume Ratio using the formula - Volume of Icosidodecahedron = (45+(17*sqrt(5)))/6*((6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio of Icosidodecahedron*(45+(17*sqrt(5)))))^3. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Icosidodecahedron?

Here are the different ways to Calculate Volume of Icosidodecahedron-

Volume of Icosidodecahedron=(45+(17*sqrt(5)))/6*Edge Length of Icosidodecahedron^3
Volume of Icosidodecahedron=(45+(17*sqrt(5)))/6*(sqrt(Total Surface Area of Icosidodecahedron/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))))^3
Volume of Icosidodecahedron=(45+(17*sqrt(5)))/6*((2*Circumsphere Radius of Icosidodecahedron)/(1+sqrt(5)))^3

Can the Volume of Icosidodecahedron given Surface to Volume Ratio be negative?

No, the Volume of Icosidodecahedron given Surface to Volume Ratio, measured in Volume cannot be negative.

Which unit is used to measure Volume of Icosidodecahedron given Surface to Volume Ratio?

Volume of Icosidodecahedron 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 Icosidodecahedron given Surface to Volume Ratio can be measured.

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