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Volume of Rhombicosidodecahedron given Total Surface Area Formula

GoVolume of Rhombicosidodecahedron Formula

GoVolume of Rhombicosidodecahedron given Circumsphere Radius 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 {(\sqrt{\frac{TSA}{30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}})}^{3}

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

Volume of Rhombicosidodecahedron given Total Surface Area Example

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Here is how the Volume of Rhombicosidodecahedron given Total Surface Area equation looks like with Values.

Here is how the Volume of Rhombicosidodecahedron given Total Surface Area equation looks like with Units.

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

41293.6749 = \frac{60 + (29 \cdot \sqrt{5})}{3} \cdot {(\sqrt{\frac{5900}{30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}})}^{3}

41293.6749m³ = \frac{60 + (29 \cdot \sqrt{5})}{3} \cdot {(\sqrt{\frac{5900m²}{30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}})}^{3}

41293.6749 = \frac{60 + (29 \cdot \sqrt{5})}{3} \cdot {(\sqrt{\frac{5900}{30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}})}^{3}

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Volume of Rhombicosidodecahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

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}

Next Step Substitute values of Variables

∴

V = \frac{60 + (29 \cdot \sqrt{5})}{3} \cdot {(\sqrt{\frac{5900m²}{30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{60 + (29 \cdot \sqrt{5})}{3} \cdot {(\sqrt{\frac{5900}{30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}})}^{3}

Next Step Evaluate

∴

V = 41293.6748689142m³

LAST Step Rounding Answer

∴

V = 41293.6749m³

Volume of Rhombicosidodecahedron given Total Surface Area 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

Total Surface Area of Rhombicosidodecahedron

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 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}

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 Total Surface Area?

Volume of Rhombicosidodecahedron given Total Surface Area evaluator uses 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 to evaluate the Volume of Rhombicosidodecahedron, Volume of Rhombicosidodecahedron given Total Surface Area formula is defined as the total quantity of three dimensional space enclosed by the surface of the Rhombicosidodecahedron, and calculated using the total surface area of the Rhombicosidodecahedron. Volume of Rhombicosidodecahedron is denoted by V symbol.

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

FAQs on Volume of Rhombicosidodecahedron given Total Surface Area

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

The formula of Volume of Rhombicosidodecahedron given Total Surface Area is expressed as 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. Here is an example- 41293.67 = (60+(29*sqrt(5)))/3*(sqrt(5900/(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))))^3.

How to calculate Volume of Rhombicosidodecahedron given Total Surface Area?

With Total Surface Area of Rhombicosidodecahedron (TSA) we can find Volume of Rhombicosidodecahedron given Total Surface Area using the formula - 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. 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*((2*Circumsphere Radius of Rhombicosidodecahedron)/(sqrt(11+(4*sqrt(5)))))^3
Volume of Rhombicosidodecahedron=(60+(29*sqrt(5)))/3*((2*Midsphere Radius of Rhombicosidodecahedron)/(sqrt(10+(4*sqrt(5)))))^3

Can the Volume of Rhombicosidodecahedron given Total Surface Area be negative?

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

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

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

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