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Volume of Truncated Icosidodecahedron given Surface to Volume Ratio Formula

GoVolume of Truncated Icosidodecahedron Formula

GoVolume of Truncated Icosidodecahedron given Total Surface Area Formula

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Volume of Truncated Icosidodecahedron is the total quantity of three dimensional space enclosed by the surface of the Truncated Icosidodecahedron. Check FAQs

V = 5 \cdot {(\frac{6 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{R A/V \cdot (19 + (10 \cdot \sqrt{5}))})}^{3} \cdot (19 + (10 \cdot \sqrt{5}))

V - Volume of Truncated Icosidodecahedron?R_A/V - SA:V of Truncated Icosidodecahedron?

Volume of Truncated Icosidodecahedron given Surface to Volume Ratio Example

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Here is how the Volume of Truncated Icosidodecahedron given Surface to Volume Ratio equation looks like with Values.

Here is how the Volume of Truncated Icosidodecahedron given Surface to Volume Ratio equation looks like with Units.

Here is how the Volume of Truncated Icosidodecahedron given Surface to Volume Ratio equation looks like.

123799.0302 = 5 \cdot {(\frac{6 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{0.1 \cdot (19 + (10 \cdot \sqrt{5}))})}^{3} \cdot (19 + (10 \cdot \sqrt{5}))

123799.0302m³ = 5 \cdot {(\frac{6 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{0.1m⁻¹ \cdot (19 + (10 \cdot \sqrt{5}))})}^{3} \cdot (19 + (10 \cdot \sqrt{5}))

123799.0302 = 5 \cdot {(\frac{6 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{0.1 \cdot (19 + (10 \cdot \sqrt{5}))})}^{3} \cdot (19 + (10 \cdot \sqrt{5}))

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Volume of Truncated Icosidodecahedron given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Volume of Truncated Icosidodecahedron given Surface to Volume Ratio?

FIRST Step Consider the formula

V = 5 \cdot {(\frac{6 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{R A/V \cdot (19 + (10 \cdot \sqrt{5}))})}^{3} \cdot (19 + (10 \cdot \sqrt{5}))

Next Step Substitute values of Variables

∴

V = 5 \cdot {(\frac{6 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{0.1m⁻¹ \cdot (19 + (10 \cdot \sqrt{5}))})}^{3} \cdot (19 + (10 \cdot \sqrt{5}))

Next Step Prepare to Evaluate

∴

V = 5 \cdot {(\frac{6 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{0.1 \cdot (19 + (10 \cdot \sqrt{5}))})}^{3} \cdot (19 + (10 \cdot \sqrt{5}))

Next Step Evaluate

∴

V = 123799.030237905m³

LAST Step Rounding Answer

∴

V = 123799.0302m³

Volume of Truncated Icosidodecahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Volume of Truncated Icosidodecahedron

Volume of Truncated Icosidodecahedron is the total quantity of three dimensional space enclosed by the surface of the Truncated Icosidodecahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Truncated Icosidodecahedron

SA:V of Truncated Icosidodecahedron

SA:V of Truncated Icosidodecahedron is the numerical ratio of the total surface area of a Truncated Icosidodecahedron to the volume of the Truncated Icosidodecahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V of Truncated 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 Truncated Icosidodecahedron

Go Volume of Truncated Icosidodecahedron

V = 5 \cdot {l e}^{3} \cdot (19 + (10 \cdot \sqrt{5}))

Go Volume of Truncated Icosidodecahedron given Total Surface Area

V = 5 \cdot ({\sqrt{\frac{TSA}{30 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}}}^{3}) \cdot (19 + (10 \cdot \sqrt{5}))

Go Volume of Truncated Icosidodecahedron given Circumsphere Radius

V = 5 \cdot {(\frac{2 \cdot r c}{\sqrt{31 + (12 \cdot \sqrt{5})}})}^{3} \cdot (19 + (10 \cdot \sqrt{5}))

Go Volume of Truncated Icosidodecahedron given Midsphere Radius

V = 5 \cdot {(\frac{2 \cdot r m}{\sqrt{30 + (12 \cdot \sqrt{5})}})}^{3} \cdot (19 + (10 \cdot \sqrt{5}))

How to Evaluate Volume of Truncated Icosidodecahedron given Surface to Volume Ratio?

Volume of Truncated Icosidodecahedron given Surface to Volume Ratio evaluator uses Volume of Truncated Icosidodecahedron = 5*((6*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))))/(SA:V of Truncated Icosidodecahedron*(19+(10*sqrt(5)))))^3*(19+(10*sqrt(5))) to evaluate the Volume of Truncated Icosidodecahedron, Volume of Truncated Icosidodecahedron given Surface to Volume Ratio formula is defined as the total quantity of three dimensional space enclosed by the surface of the Truncated Icosidodecahedron, and calculated using the surface to volume ratio of the Truncated Icosidodecahedron. Volume of Truncated Icosidodecahedron is denoted by V symbol.

How to evaluate Volume of Truncated Icosidodecahedron given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Volume of Truncated Icosidodecahedron given Surface to Volume Ratio, enter SA:V of Truncated Icosidodecahedron (R_A/V) and hit the calculate button.

FAQs on Volume of Truncated Icosidodecahedron given Surface to Volume Ratio

What is the formula to find Volume of Truncated Icosidodecahedron given Surface to Volume Ratio?

The formula of Volume of Truncated Icosidodecahedron given Surface to Volume Ratio is expressed as Volume of Truncated Icosidodecahedron = 5*((6*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))))/(SA:V of Truncated Icosidodecahedron*(19+(10*sqrt(5)))))^3*(19+(10*sqrt(5))). Here is an example- 123799 = 5*((6*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))))/(0.1*(19+(10*sqrt(5)))))^3*(19+(10*sqrt(5))).

How to calculate Volume of Truncated Icosidodecahedron given Surface to Volume Ratio?

With SA:V of Truncated Icosidodecahedron (R_A/V) we can find Volume of Truncated Icosidodecahedron given Surface to Volume Ratio using the formula - Volume of Truncated Icosidodecahedron = 5*((6*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))))/(SA:V of Truncated Icosidodecahedron*(19+(10*sqrt(5)))))^3*(19+(10*sqrt(5))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Truncated Icosidodecahedron?

Here are the different ways to Calculate Volume of Truncated Icosidodecahedron-

Volume of Truncated Icosidodecahedron=5*Edge Length of Truncated Icosidodecahedron^3*(19+(10*sqrt(5)))
Volume of Truncated Icosidodecahedron=5*(sqrt(Total Surface Area of Truncated Icosidodecahedron/(30*(1+sqrt(3)+sqrt(5+(2*sqrt(5))))))^3)*(19+(10*sqrt(5)))
Volume of Truncated Icosidodecahedron=5*((2*Circumsphere Radius of Truncated Icosidodecahedron)/(sqrt(31+(12*sqrt(5)))))^3*(19+(10*sqrt(5)))

Can the Volume of Truncated Icosidodecahedron given Surface to Volume Ratio be negative?

No, the Volume of Truncated Icosidodecahedron given Surface to Volume Ratio, measured in Volume cannot be negative.

Which unit is used to measure Volume of Truncated Icosidodecahedron given Surface to Volume Ratio?

Volume of Truncated Icosidodecahedron given Surface to Volume Ratio 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 Truncated Icosidodecahedron given Surface to Volume Ratio can be measured.

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