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Volume of Truncated Icosahedron given Midsphere Radius 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{4 \cdot r m}{3 \cdot (1 + \sqrt{5})})}^{3}

V - Volume of Truncated Icosahedron?r_m - Midsphere Radius of Truncated Icosahedron?

Volume of Truncated Icosahedron given Midsphere Radius Example

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

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

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

53459.6107 = \frac{125 + (43 \cdot \sqrt{5})}{4} \cdot {(\frac{4 \cdot 24}{3 \cdot (1 + \sqrt{5})})}^{3}

53459.6107m³ = \frac{125 + (43 \cdot \sqrt{5})}{4} \cdot {(\frac{4 \cdot 24m}{3 \cdot (1 + \sqrt{5})})}^{3}

53459.6107 = \frac{125 + (43 \cdot \sqrt{5})}{4} \cdot {(\frac{4 \cdot 24}{3 \cdot (1 + \sqrt{5})})}^{3}

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Volume of Truncated Icosahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{125 + (43 \cdot \sqrt{5})}{4} \cdot {(\frac{4 \cdot 24m}{3 \cdot (1 + \sqrt{5})})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{125 + (43 \cdot \sqrt{5})}{4} \cdot {(\frac{4 \cdot 24}{3 \cdot (1 + \sqrt{5})})}^{3}

Next Step Evaluate

∴

V = 53459.6107494316m³

LAST Step Rounding Answer

∴

V = 53459.6107m³

Volume of Truncated Icosahedron given Midsphere Radius 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

Midsphere Radius of Truncated Icosahedron

Midsphere Radius of Truncated Icosahedron is the radius of the sphere for which all the edges of the Truncated Icosahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius 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 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 Midsphere Radius?

Volume of Truncated Icosahedron given Midsphere Radius evaluator uses Volume of Truncated Icosahedron = (125+(43*sqrt(5)))/4*((4*Midsphere Radius of Truncated Icosahedron)/(3*(1+sqrt(5))))^3 to evaluate the Volume of Truncated Icosahedron, Volume of Truncated Icosahedron given Midsphere Radius formula is defined as the total quantity of three dimensional space enclosed by the surface of the Truncated Icosahedron, and calculated using the midsphere radius of the Truncated Icosahedron. Volume of Truncated Icosahedron is denoted by V symbol.

How to evaluate Volume of Truncated Icosahedron given Midsphere Radius using this online evaluator? To use this online evaluator for Volume of Truncated Icosahedron given Midsphere Radius, enter Midsphere Radius of Truncated Icosahedron (r_m) and hit the calculate button.

FAQs on Volume of Truncated Icosahedron given Midsphere Radius

What is the formula to find Volume of Truncated Icosahedron given Midsphere Radius?

The formula of Volume of Truncated Icosahedron given Midsphere Radius is expressed as Volume of Truncated Icosahedron = (125+(43*sqrt(5)))/4*((4*Midsphere Radius of Truncated Icosahedron)/(3*(1+sqrt(5))))^3. Here is an example- 53459.61 = (125+(43*sqrt(5)))/4*((4*24)/(3*(1+sqrt(5))))^3.

How to calculate Volume of Truncated Icosahedron given Midsphere Radius?

With Midsphere Radius of Truncated Icosahedron (r_m) we can find Volume of Truncated Icosahedron given Midsphere Radius using the formula - Volume of Truncated Icosahedron = (125+(43*sqrt(5)))/4*((4*Midsphere Radius of Truncated Icosahedron)/(3*(1+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*((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 Midsphere Radius be negative?

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

Which unit is used to measure Volume of Truncated Icosahedron given Midsphere Radius?

Volume of Truncated Icosahedron given Midsphere Radius 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 Midsphere Radius can be measured.

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