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

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

Volume of Icosidodecahedron given Midsphere Radius Example

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

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

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

12814.0836 = \frac{45 + (17 \cdot \sqrt{5})}{6} \cdot {(\frac{2 \cdot 15}{\sqrt{5 + (2 \cdot \sqrt{5})}})}^{3}

12814.0836m³ = \frac{45 + (17 \cdot \sqrt{5})}{6} \cdot {(\frac{2 \cdot 15m}{\sqrt{5 + (2 \cdot \sqrt{5})}})}^{3}

12814.0836 = \frac{45 + (17 \cdot \sqrt{5})}{6} \cdot {(\frac{2 \cdot 15}{\sqrt{5 + (2 \cdot \sqrt{5})}})}^{3}

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Volume of Icosidodecahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{45 + (17 \cdot \sqrt{5})}{6} \cdot {(\frac{2 \cdot 15m}{\sqrt{5 + (2 \cdot \sqrt{5})}})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{45 + (17 \cdot \sqrt{5})}{6} \cdot {(\frac{2 \cdot 15}{\sqrt{5 + (2 \cdot \sqrt{5})}})}^{3}

Next Step Evaluate

∴

V = 12814.0835875047m³

LAST Step Rounding Answer

∴

V = 12814.0836m³

Volume of Icosidodecahedron given Midsphere Radius 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

Midsphere Radius of Icosidodecahedron

Midsphere Radius of Icosidodecahedron is the radius of the sphere for which all the edges of the Icosidodecahedron 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 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 Surface to Volume Ratio

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}

How to Evaluate Volume of Icosidodecahedron given Midsphere Radius?

Volume of Icosidodecahedron given Midsphere Radius evaluator uses Volume of Icosidodecahedron = (45+(17*sqrt(5)))/6*((2*Midsphere Radius of Icosidodecahedron)/(sqrt(5+(2*sqrt(5)))))^3 to evaluate the Volume of Icosidodecahedron, Volume of Icosidodecahedron given Midsphere Radius is defined as the total quantity of three dimensional space enclosed by the surface of the Icosidodecahedron, and calculated using the midsphere radius of the Icosidodecahedron. Volume of Icosidodecahedron is denoted by V symbol.

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

FAQs on Volume of Icosidodecahedron given Midsphere Radius

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

The formula of Volume of Icosidodecahedron given Midsphere Radius is expressed as Volume of Icosidodecahedron = (45+(17*sqrt(5)))/6*((2*Midsphere Radius of Icosidodecahedron)/(sqrt(5+(2*sqrt(5)))))^3. Here is an example- 12814.08 = (45+(17*sqrt(5)))/6*((2*15)/(sqrt(5+(2*sqrt(5)))))^3.

How to calculate Volume of Icosidodecahedron given Midsphere Radius?

With Midsphere Radius of Icosidodecahedron (r_m) we can find Volume of Icosidodecahedron given Midsphere Radius using the formula - Volume of Icosidodecahedron = (45+(17*sqrt(5)))/6*((2*Midsphere Radius of Icosidodecahedron)/(sqrt(5+(2*sqrt(5)))))^3. This formula also uses Square Root Function 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 Midsphere Radius be negative?

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

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

Volume of Icosidodecahedron 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 Icosidodecahedron given Midsphere Radius can be measured.

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