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Volume of Truncated Icosahedron Formula

GoVolume of Truncated Icosahedron given Total Surface Area 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 {l e}^{3}

V - Volume of Truncated Icosahedron?l_e - Edge Length of Truncated Icosahedron?

Volume of Truncated Icosahedron Example

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Here is how the Volume of Truncated Icosahedron equation looks like with Values.

Here is how the Volume of Truncated Icosahedron equation looks like with Units.

Here is how the Volume of Truncated Icosahedron equation looks like.

55287.7308 = \frac{125 + (43 \cdot \sqrt{5})}{4} \cdot 10^{3}

55287.7308m³ = \frac{125 + (43 \cdot \sqrt{5})}{4} \cdot {10m}^{3}

55287.7308 = \frac{125 + (43 \cdot \sqrt{5})}{4} \cdot 10^{3}

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Volume of Truncated Icosahedron Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

V = 55287.7307581227m³

LAST Step Rounding Answer

∴

V = 55287.7308m³

Volume of Truncated Icosahedron 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

Edge Length of Truncated Icosahedron

Edge Length of Truncated Icosahedron is the length of any edge of the Truncated Icosahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find 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 Total Surface Area

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

Other formulas in Important Formulas of Truncated Icosahedron category

Go Edge Length of Truncated Icosahedron given Circumsphere Radius

l e = \frac{4 \cdot r c}{\sqrt{58 + (18 \cdot \sqrt{5})}}

Go Edge Length of Truncated Icosahedron given Midsphere Radius

l e = \frac{4 \cdot r m}{3 \cdot (1 + \sqrt{5})}

Go Edge Length of Truncated Icosahedron given Volume

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

Go Icosahedral Edge Length of Truncated Icosahedron

l e(Icosahedron) = 3 \cdot l e

How to Evaluate Volume of Truncated Icosahedron?

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

How to evaluate Volume of Truncated Icosahedron using this online evaluator? To use this online evaluator for Volume of Truncated Icosahedron, enter Edge Length of Truncated Icosahedron (l_e) and hit the calculate button.

FAQs on Volume of Truncated Icosahedron

What is the formula to find Volume of Truncated Icosahedron?

The formula of Volume of Truncated Icosahedron is expressed as Volume of Truncated Icosahedron = (125+(43*sqrt(5)))/4*Edge Length of Truncated Icosahedron^3. Here is an example- 55287.73 = (125+(43*sqrt(5)))/4*10^3.

How to calculate Volume of Truncated Icosahedron?

With Edge Length of Truncated Icosahedron (l_e) we can find Volume of Truncated Icosahedron using the formula - Volume of Truncated Icosahedron = (125+(43*sqrt(5)))/4*Edge Length of Truncated Icosahedron^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*(sqrt(Total Surface Area of Truncated Icosahedron/(3*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))))^3

Can the Volume of Truncated Icosahedron be negative?

No, the Volume of Truncated Icosahedron, measured in Volume cannot be negative.

Which unit is used to measure Volume of Truncated Icosahedron?

Volume of Truncated Icosahedron 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 can be measured.

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