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Volume of Icosidodecahedron given Total Surface Area Formula

GoVolume of Icosidodecahedron 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 {(\sqrt{\frac{TSA}{(5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}})}^{3}

V - Volume of Icosidodecahedron?TSA - Total Surface Area of Icosidodecahedron?

Volume of Icosidodecahedron given Total Surface Area Example

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Here is how the Volume of Icosidodecahedron given Total Surface Area equation looks like.

13619.4081 = \frac{45 + (17 \cdot \sqrt{5})}{6} \cdot {(\sqrt{\frac{2900}{(5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}})}^{3}

13619.4081m³ = \frac{45 + (17 \cdot \sqrt{5})}{6} \cdot {(\sqrt{\frac{2900m²}{(5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}})}^{3}

13619.4081 = \frac{45 + (17 \cdot \sqrt{5})}{6} \cdot {(\sqrt{\frac{2900}{(5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}})}^{3}

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Volume of Icosidodecahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

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}

Next Step Substitute values of Variables

∴

V = \frac{45 + (17 \cdot \sqrt{5})}{6} \cdot {(\sqrt{\frac{2900m²}{(5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{45 + (17 \cdot \sqrt{5})}{6} \cdot {(\sqrt{\frac{2900}{(5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}})}^{3}

Next Step Evaluate

∴

V = 13619.4080866546m³

LAST Step Rounding Answer

∴

V = 13619.4081m³

Volume of Icosidodecahedron given Total Surface Area 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

Total Surface Area of Icosidodecahedron

Total Surface Area of Icosidodecahedron is the total quantity of plane enclosed by the entire surface of the Icosidodecahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 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 given Total Surface Area?

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

How to evaluate Volume of Icosidodecahedron given Total Surface Area using this online evaluator? To use this online evaluator for Volume of Icosidodecahedron given Total Surface Area, enter Total Surface Area of Icosidodecahedron (TSA) and hit the calculate button.

FAQs on Volume of Icosidodecahedron given Total Surface Area

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

The formula of Volume of Icosidodecahedron given Total Surface Area is expressed as Volume of Icosidodecahedron = (45+(17*sqrt(5)))/6*(sqrt(Total Surface Area of Icosidodecahedron/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))))^3. Here is an example- 13619.41 = (45+(17*sqrt(5)))/6*(sqrt(2900/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))))^3.

How to calculate Volume of Icosidodecahedron given Total Surface Area?

With Total Surface Area of Icosidodecahedron (TSA) we can find Volume of Icosidodecahedron given Total Surface Area using the formula - Volume of Icosidodecahedron = (45+(17*sqrt(5)))/6*(sqrt(Total Surface Area of Icosidodecahedron/((5*sqrt(3))+(3*sqrt(25+(10*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*((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 given Total Surface Area be negative?

No, the Volume of Icosidodecahedron given Total Surface Area, measured in Volume cannot be negative.

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

Volume of Icosidodecahedron given Total Surface Area 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 Total Surface Area can be measured.

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