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Volume of Rhombicosidodecahedron given Surface to Volume Ratio Formula

GoVolume of Rhombicosidodecahedron Formula

GoVolume of Rhombicosidodecahedron given Total Surface Area Formula

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

V = \frac{60 + (29 \cdot \sqrt{5})}{3} \cdot {(\frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{R A/V \cdot (60 + (29 \cdot \sqrt{5}))})}^{3}

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

Volume of Rhombicosidodecahedron given Surface to Volume Ratio Example

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

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

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

120445.053 = \frac{60 + (29 \cdot \sqrt{5})}{3} \cdot {(\frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{0.1 \cdot (60 + (29 \cdot \sqrt{5}))})}^{3}

120445.053m³ = \frac{60 + (29 \cdot \sqrt{5})}{3} \cdot {(\frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{0.1m⁻¹ \cdot (60 + (29 \cdot \sqrt{5}))})}^{3}

120445.053 = \frac{60 + (29 \cdot \sqrt{5})}{3} \cdot {(\frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{0.1 \cdot (60 + (29 \cdot \sqrt{5}))})}^{3}

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Volume of Rhombicosidodecahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

V = \frac{60 + (29 \cdot \sqrt{5})}{3} \cdot {(\frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{R A/V \cdot (60 + (29 \cdot \sqrt{5}))})}^{3}

Next Step Substitute values of Variables

∴

V = \frac{60 + (29 \cdot \sqrt{5})}{3} \cdot {(\frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{0.1m⁻¹ \cdot (60 + (29 \cdot \sqrt{5}))})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{60 + (29 \cdot \sqrt{5})}{3} \cdot {(\frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{0.1 \cdot (60 + (29 \cdot \sqrt{5}))})}^{3}

Next Step Evaluate

∴

V = 120445.052970447m³

LAST Step Rounding Answer

∴

V = 120445.053m³

Volume of Rhombicosidodecahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Volume of Rhombicosidodecahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Rhombicosidodecahedron

Surface to Volume Ratio of Rhombicosidodecahedron

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

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Rhombicosidodecahedron

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 Rhombicosidodecahedron

Go Volume of Rhombicosidodecahedron

V = \frac{60 + (29 \cdot \sqrt{5})}{3} \cdot {l e}^{3}

Go Volume of Rhombicosidodecahedron given Total Surface Area

V = \frac{60 + (29 \cdot \sqrt{5})}{3} \cdot {(\sqrt{\frac{TSA}{30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}})}^{3}

Go Volume of Rhombicosidodecahedron given Circumsphere Radius

V = \frac{60 + (29 \cdot \sqrt{5})}{3} \cdot {(\frac{2 \cdot r c}{\sqrt{11 + (4 \cdot \sqrt{5})}})}^{3}

Go Volume of Rhombicosidodecahedron given Midsphere Radius

V = \frac{60 + (29 \cdot \sqrt{5})}{3} \cdot {(\frac{2 \cdot r m}{\sqrt{10 + (4 \cdot \sqrt{5})}})}^{3}

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

Volume of Rhombicosidodecahedron given Surface to Volume Ratio evaluator uses Volume of Rhombicosidodecahedron = (60+(29*sqrt(5)))/3*((3*(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio of Rhombicosidodecahedron*(60+(29*sqrt(5)))))^3 to evaluate the Volume of Rhombicosidodecahedron, Volume of Rhombicosidodecahedron given Surface to Volume Ratio formula is defined as the total quantity of three dimensional space enclosed by the surface of the Rhombicosidodecahedron, and calculated using the surface to volume ratio of the Rhombicosidodecahedron. Volume of Rhombicosidodecahedron is denoted by V symbol.

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

FAQs on Volume of Rhombicosidodecahedron given Surface to Volume Ratio

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

The formula of Volume of Rhombicosidodecahedron given Surface to Volume Ratio is expressed as Volume of Rhombicosidodecahedron = (60+(29*sqrt(5)))/3*((3*(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio of Rhombicosidodecahedron*(60+(29*sqrt(5)))))^3. Here is an example- 120445.1 = (60+(29*sqrt(5)))/3*((3*(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(0.1*(60+(29*sqrt(5)))))^3.

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

With Surface to Volume Ratio of Rhombicosidodecahedron (R_A/V) we can find Volume of Rhombicosidodecahedron given Surface to Volume Ratio using the formula - Volume of Rhombicosidodecahedron = (60+(29*sqrt(5)))/3*((3*(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio of Rhombicosidodecahedron*(60+(29*sqrt(5)))))^3. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Rhombicosidodecahedron?

Here are the different ways to Calculate Volume of Rhombicosidodecahedron-

Volume of Rhombicosidodecahedron=(60+(29*sqrt(5)))/3*Edge Length of Rhombicosidodecahedron^3
Volume of Rhombicosidodecahedron=(60+(29*sqrt(5)))/3*(sqrt(Total Surface Area of Rhombicosidodecahedron/(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))))^3
Volume of Rhombicosidodecahedron=(60+(29*sqrt(5)))/3*((2*Circumsphere Radius of Rhombicosidodecahedron)/(sqrt(11+(4*sqrt(5)))))^3

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

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

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

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

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