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Volume of Rhombicosidodecahedron given Midsphere Radius 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{2 \cdot r m}{\sqrt{10 + (4 \cdot \sqrt{5})}})}^{3}

V - Volume of Rhombicosidodecahedron?r_m - Midsphere Radius of Rhombicosidodecahedron?

Volume of Rhombicosidodecahedron given Midsphere Radius Example

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Here is how the Volume of Rhombicosidodecahedron given Midsphere Radius equation looks like with Values.

Here is how the Volume of Rhombicosidodecahedron given Midsphere Radius equation looks like with Units.

Here is how the Volume of Rhombicosidodecahedron given Midsphere Radius equation looks like.

37392.4801 = \frac{60 + (29 \cdot \sqrt{5})}{3} \cdot {(\frac{2 \cdot 21}{\sqrt{10 + (4 \cdot \sqrt{5})}})}^{3}

37392.4801m³ = \frac{60 + (29 \cdot \sqrt{5})}{3} \cdot {(\frac{2 \cdot 21m}{\sqrt{10 + (4 \cdot \sqrt{5})}})}^{3}

37392.4801 = \frac{60 + (29 \cdot \sqrt{5})}{3} \cdot {(\frac{2 \cdot 21}{\sqrt{10 + (4 \cdot \sqrt{5})}})}^{3}

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Volume of Rhombicosidodecahedron given Midsphere Radius Solution

Follow our step by step solution on how to calculate Volume of Rhombicosidodecahedron given Midsphere Radius?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{60 + (29 \cdot \sqrt{5})}{3} \cdot {(\frac{2 \cdot 21m}{\sqrt{10 + (4 \cdot \sqrt{5})}})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{60 + (29 \cdot \sqrt{5})}{3} \cdot {(\frac{2 \cdot 21}{\sqrt{10 + (4 \cdot \sqrt{5})}})}^{3}

Next Step Evaluate

∴

V = 37392.4801063871m³

LAST Step Rounding Answer

∴

V = 37392.4801m³

Volume of Rhombicosidodecahedron given Midsphere Radius 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

Midsphere Radius of Rhombicosidodecahedron

Midsphere Radius of Rhombicosidodecahedron is the radius of the sphere for which all the edges of the Rhombicosidodecahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius 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 Surface to Volume Ratio

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}

How to Evaluate Volume of Rhombicosidodecahedron given Midsphere Radius?

Volume of Rhombicosidodecahedron given Midsphere Radius evaluator uses Volume of Rhombicosidodecahedron = (60+(29*sqrt(5)))/3*((2*Midsphere Radius of Rhombicosidodecahedron)/(sqrt(10+(4*sqrt(5)))))^3 to evaluate the Volume of Rhombicosidodecahedron, Volume of Rhombicosidodecahedron given Midsphere Radius formula is defined as the total quantity of three dimensional space enclosed by the surface of the Rhombicosidodecahedron, and calculated using the midsphere radius of the Rhombicosidodecahedron. Volume of Rhombicosidodecahedron is denoted by V symbol.

How to evaluate Volume of Rhombicosidodecahedron given Midsphere Radius using this online evaluator? To use this online evaluator for Volume of Rhombicosidodecahedron given Midsphere Radius, enter Midsphere Radius of Rhombicosidodecahedron (r_m) and hit the calculate button.

FAQs on Volume of Rhombicosidodecahedron given Midsphere Radius

What is the formula to find Volume of Rhombicosidodecahedron given Midsphere Radius?

The formula of Volume of Rhombicosidodecahedron given Midsphere Radius is expressed as Volume of Rhombicosidodecahedron = (60+(29*sqrt(5)))/3*((2*Midsphere Radius of Rhombicosidodecahedron)/(sqrt(10+(4*sqrt(5)))))^3. Here is an example- 37392.48 = (60+(29*sqrt(5)))/3*((2*21)/(sqrt(10+(4*sqrt(5)))))^3.

How to calculate Volume of Rhombicosidodecahedron given Midsphere Radius?

With Midsphere Radius of Rhombicosidodecahedron (r_m) we can find Volume of Rhombicosidodecahedron given Midsphere Radius using the formula - Volume of Rhombicosidodecahedron = (60+(29*sqrt(5)))/3*((2*Midsphere Radius of Rhombicosidodecahedron)/(sqrt(10+(4*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 Midsphere Radius be negative?

No, the Volume of Rhombicosidodecahedron given Midsphere Radius, measured in Volume cannot be negative.

Which unit is used to measure Volume of Rhombicosidodecahedron given Midsphere Radius?

Volume of Rhombicosidodecahedron given Midsphere Radius 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 Midsphere Radius can be measured.

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