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Volume of Icosidodecahedron Formula

GoVolume of Icosidodecahedron given Total Surface Area Formula

GoVolume of Icosidodecahedron given Circumsphere Radius 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 {l e}^{3}

V - Volume of Icosidodecahedron?l_e - Edge Length of Icosidodecahedron?

Volume of Icosidodecahedron Example

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

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

Here is how the Volume of Icosidodecahedron equation looks like.

13835.5259 = \frac{45 + (17 \cdot \sqrt{5})}{6} \cdot 10^{3}

13835.5259m³ = \frac{45 + (17 \cdot \sqrt{5})}{6} \cdot {10m}^{3}

13835.5259 = \frac{45 + (17 \cdot \sqrt{5})}{6} \cdot 10^{3}

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Volume of Icosidodecahedron Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

V = 13835.5259362494m³

LAST Step Rounding Answer

∴

V = 13835.5259m³

Volume of Icosidodecahedron 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

Edge Length of Icosidodecahedron

Edge Length of Icosidodecahedron is the length of any edge of the Icosidodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length 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 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}

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?

Volume of Icosidodecahedron evaluator uses Volume of Icosidodecahedron = (45+(17*sqrt(5)))/6*Edge Length of Icosidodecahedron^3 to evaluate the Volume of Icosidodecahedron, Volume of Icosidodecahedron is defined as the total quantity of three dimensional space enclosed by the surface of the Icosidodecahedron. Volume of Icosidodecahedron is denoted by V symbol.

How to evaluate Volume of Icosidodecahedron using this online evaluator? To use this online evaluator for Volume of Icosidodecahedron, enter Edge Length of Icosidodecahedron (l_e) and hit the calculate button.

FAQs on Volume of Icosidodecahedron

What is the formula to find Volume of Icosidodecahedron?

The formula of Volume of Icosidodecahedron is expressed as Volume of Icosidodecahedron = (45+(17*sqrt(5)))/6*Edge Length of Icosidodecahedron^3. Here is an example- 13835.53 = (45+(17*sqrt(5)))/6*10^3.

How to calculate Volume of Icosidodecahedron?

With Edge Length of Icosidodecahedron (l_e) we can find Volume of Icosidodecahedron using the formula - Volume of Icosidodecahedron = (45+(17*sqrt(5)))/6*Edge Length of Icosidodecahedron^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*(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
Volume of Icosidodecahedron=(45+(17*sqrt(5)))/6*((2*Midsphere Radius of Icosidodecahedron)/(sqrt(5+(2*sqrt(5)))))^3

Can the Volume of Icosidodecahedron be negative?

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

Which unit is used to measure Volume of Icosidodecahedron?

Volume of Icosidodecahedron 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 can be measured.

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