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Volume of Truncated Icosahedron given Surface to Volume Ratio Formula

GoVolume of Truncated Icosahedron given Icosahedral Edge Length Formula

GoVolume of Truncated Icosahedron given Circumsphere Radius Formula

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

V = \frac{125 + (43 \cdot \sqrt{5})}{4} \cdot {(\frac{12 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{R A/V \cdot (125 + (43 \cdot \sqrt{5}))})}^{3}

V - Volume of Truncated Icosahedron?R_A/V - Surface to Volume Ratio of Truncated Icosahedron?

Volume of Truncated Icosahedron given Surface to Volume Ratio Example

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

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

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

125222.5343 = \frac{125 + (43 \cdot \sqrt{5})}{4} \cdot {(\frac{12 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{0.1 \cdot (125 + (43 \cdot \sqrt{5}))})}^{3}

125222.5343m³ = \frac{125 + (43 \cdot \sqrt{5})}{4} \cdot {(\frac{12 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{0.1m⁻¹ \cdot (125 + (43 \cdot \sqrt{5}))})}^{3}

125222.5343 = \frac{125 + (43 \cdot \sqrt{5})}{4} \cdot {(\frac{12 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{0.1 \cdot (125 + (43 \cdot \sqrt{5}))})}^{3}

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Volume of Truncated Icosahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

V = \frac{125 + (43 \cdot \sqrt{5})}{4} \cdot {(\frac{12 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{R A/V \cdot (125 + (43 \cdot \sqrt{5}))})}^{3}

Next Step Substitute values of Variables

∴

V = \frac{125 + (43 \cdot \sqrt{5})}{4} \cdot {(\frac{12 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{0.1m⁻¹ \cdot (125 + (43 \cdot \sqrt{5}))})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{125 + (43 \cdot \sqrt{5})}{4} \cdot {(\frac{12 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{0.1 \cdot (125 + (43 \cdot \sqrt{5}))})}^{3}

Next Step Evaluate

∴

V = 125222.534280376m³

LAST Step Rounding Answer

∴

V = 125222.5343m³

Volume of Truncated Icosahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Volume of Truncated Icosahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Truncated Icosahedron

Surface to Volume Ratio of Truncated Icosahedron

Surface to Volume Ratio of Truncated Icosahedron is the numerical ratio of the total surface area of a Truncated Icosahedron to the volume of the Truncated Icosahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Truncated Icosahedron

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 Icosahedron

Go Volume of Truncated Icosahedron given Icosahedral Edge Length

V = \frac{125 + (43 \cdot \sqrt{5})}{4} \cdot {(\frac{l e(Icosahedron)}{3})}^{3}

Go Volume of Truncated Icosahedron given Circumsphere Radius

V = \frac{125 + (43 \cdot \sqrt{5})}{4} \cdot {(\frac{4 \cdot r c}{\sqrt{58 + (18 \cdot \sqrt{5})}})}^{3}

Go Volume of Truncated Icosahedron given Midsphere Radius

V = \frac{125 + (43 \cdot \sqrt{5})}{4} \cdot {(\frac{4 \cdot r m}{3 \cdot (1 + \sqrt{5})})}^{3}

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

Volume of Truncated Icosahedron given Surface to Volume Ratio evaluator uses Volume of Truncated Icosahedron = (125+(43*sqrt(5)))/4*((12*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))/(Surface to Volume Ratio of Truncated Icosahedron*(125+(43*sqrt(5)))))^3 to evaluate the Volume of Truncated Icosahedron, Volume of Truncated Icosahedron given Surface to Volume Ratio formula is defined as the total quantity of three dimensional space enclosed by the surface of the Truncated Icosahedron, and calculated using the surface to volume ratio of the Truncated Icosahedron. Volume of Truncated Icosahedron is denoted by V symbol.

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

FAQs on Volume of Truncated Icosahedron given Surface to Volume Ratio

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

The formula of Volume of Truncated Icosahedron given Surface to Volume Ratio is expressed as Volume of Truncated Icosahedron = (125+(43*sqrt(5)))/4*((12*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))/(Surface to Volume Ratio of Truncated Icosahedron*(125+(43*sqrt(5)))))^3. Here is an example- 125222.5 = (125+(43*sqrt(5)))/4*((12*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))/(0.1*(125+(43*sqrt(5)))))^3.

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

With Surface to Volume Ratio of Truncated Icosahedron (R_A/V) we can find Volume of Truncated Icosahedron given Surface to Volume Ratio using the formula - Volume of Truncated Icosahedron = (125+(43*sqrt(5)))/4*((12*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))/(Surface to Volume Ratio of Truncated Icosahedron*(125+(43*sqrt(5)))))^3. This formula also uses Square Root (sqrt) function(s).

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

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

Volume of Truncated Icosahedron=(125+(43*sqrt(5)))/4*(Icosahedral Edge Length of Truncated Icosahedron/3)^3
Volume of Truncated Icosahedron=(125+(43*sqrt(5)))/4*((4*Circumsphere Radius of Truncated Icosahedron)/(sqrt(58+(18*sqrt(5)))))^3
Volume of Truncated Icosahedron=(125+(43*sqrt(5)))/4*((4*Midsphere Radius of Truncated Icosahedron)/(3*(1+sqrt(5))))^3

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

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

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

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

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