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Volume of Truncated Icosahedron given Icosahedral Edge Length Formula

GoVolume of Truncated Icosahedron given Circumsphere Radius Formula

GoVolume of Truncated Icosahedron given Midsphere 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{l e(Icosahedron)}{3})}^{3}

V - Volume of Truncated Icosahedron?l_{e(Icosahedron)} - Icosahedral Edge Length of Truncated Icosahedron?

Volume of Truncated Icosahedron given Icosahedral Edge Length Example

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Here is how the Volume of Truncated Icosahedron given Icosahedral Edge Length equation looks like with Values.

Here is how the Volume of Truncated Icosahedron given Icosahedral Edge Length equation looks like with Units.

Here is how the Volume of Truncated Icosahedron given Icosahedral Edge Length equation looks like.

55287.7308 = \frac{125 + (43 \cdot \sqrt{5})}{4} \cdot {(\frac{30}{3})}^{3}

55287.7308m³ = \frac{125 + (43 \cdot \sqrt{5})}{4} \cdot {(\frac{30m}{3})}^{3}

55287.7308 = \frac{125 + (43 \cdot \sqrt{5})}{4} \cdot {(\frac{30}{3})}^{3}

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Volume of Truncated Icosahedron given Icosahedral Edge Length Solution

Follow our step by step solution on how to calculate Volume of Truncated Icosahedron given Icosahedral Edge Length?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{125 + (43 \cdot \sqrt{5})}{4} \cdot {(\frac{30m}{3})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{125 + (43 \cdot \sqrt{5})}{4} \cdot {(\frac{30}{3})}^{3}

Next Step Evaluate

∴

V = 55287.7307581227m³

LAST Step Rounding Answer

∴

V = 55287.7308m³

Volume of Truncated Icosahedron given Icosahedral Edge Length 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

Icosahedral Edge Length of Truncated Icosahedron

Icosahedral Edge Length of Truncated Icosahedron is the length of any edge of the larger Icosahedron from which the corners are cut to form the Truncated Icosahedron.

Symbol: l_{e(Icosahedron)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Icosahedral Edge Length 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 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}

Go Volume of Truncated Icosahedron given Surface to Volume Ratio

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}

How to Evaluate Volume of Truncated Icosahedron given Icosahedral Edge Length?

Volume of Truncated Icosahedron given Icosahedral Edge Length evaluator uses Volume of Truncated Icosahedron = (125+(43*sqrt(5)))/4*(Icosahedral Edge Length of Truncated Icosahedron/3)^3 to evaluate the Volume of Truncated Icosahedron, Volume of Truncated Icosahedron given Icosahedral Edge Length formula is defined as the total quantity of three dimensional space enclosed by the surface of the Truncated Icosahedron, and calculated using the icosahedral edge length of the Truncated Icosahedron. Volume of Truncated Icosahedron is denoted by V symbol.

How to evaluate Volume of Truncated Icosahedron given Icosahedral Edge Length using this online evaluator? To use this online evaluator for Volume of Truncated Icosahedron given Icosahedral Edge Length, enter Icosahedral Edge Length of Truncated Icosahedron (l_{e(Icosahedron)}) and hit the calculate button.

FAQs on Volume of Truncated Icosahedron given Icosahedral Edge Length

What is the formula to find Volume of Truncated Icosahedron given Icosahedral Edge Length?

The formula of Volume of Truncated Icosahedron given Icosahedral Edge Length is expressed as Volume of Truncated Icosahedron = (125+(43*sqrt(5)))/4*(Icosahedral Edge Length of Truncated Icosahedron/3)^3. Here is an example- 55287.73 = (125+(43*sqrt(5)))/4*(30/3)^3.

How to calculate Volume of Truncated Icosahedron given Icosahedral Edge Length?

With Icosahedral Edge Length of Truncated Icosahedron (l_{e(Icosahedron)}) we can find Volume of Truncated Icosahedron given Icosahedral Edge Length using the formula - Volume of Truncated Icosahedron = (125+(43*sqrt(5)))/4*(Icosahedral Edge Length of Truncated Icosahedron/3)^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*((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
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

Can the Volume of Truncated Icosahedron given Icosahedral Edge Length be negative?

No, the Volume of Truncated Icosahedron given Icosahedral Edge Length, measured in Volume cannot be negative.

Which unit is used to measure Volume of Truncated Icosahedron given Icosahedral Edge Length?

Volume of Truncated Icosahedron given Icosahedral Edge Length 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 Icosahedral Edge Length can be measured.

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