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Volume of Truncated Cuboctahedron given Midsphere Radius Formula

GoVolume of Truncated Cuboctahedron Formula

GoVolume of Truncated Cuboctahedron given Total Surface Area Formula

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

V = 2 \cdot (11 + (7 \cdot \sqrt{2})) \cdot {(\frac{2 \cdot r m}{\sqrt{12 + (6 \cdot \sqrt{2})}})}^{3}

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

Volume of Truncated Cuboctahedron given Midsphere Radius Example

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

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

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

38402.6254 = 2 \cdot (11 + (7 \cdot \sqrt{2})) \cdot {(\frac{2 \cdot 22}{\sqrt{12 + (6 \cdot \sqrt{2})}})}^{3}

38402.6254m³ = 2 \cdot (11 + (7 \cdot \sqrt{2})) \cdot {(\frac{2 \cdot 22m}{\sqrt{12 + (6 \cdot \sqrt{2})}})}^{3}

38402.6254 = 2 \cdot (11 + (7 \cdot \sqrt{2})) \cdot {(\frac{2 \cdot 22}{\sqrt{12 + (6 \cdot \sqrt{2})}})}^{3}

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Volume of Truncated Cuboctahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

V = 2 \cdot (11 + (7 \cdot \sqrt{2})) \cdot {(\frac{2 \cdot r m}{\sqrt{12 + (6 \cdot \sqrt{2})}})}^{3}

Next Step Substitute values of Variables

∴

V = 2 \cdot (11 + (7 \cdot \sqrt{2})) \cdot {(\frac{2 \cdot 22m}{\sqrt{12 + (6 \cdot \sqrt{2})}})}^{3}

Next Step Prepare to Evaluate

∴

V = 2 \cdot (11 + (7 \cdot \sqrt{2})) \cdot {(\frac{2 \cdot 22}{\sqrt{12 + (6 \cdot \sqrt{2})}})}^{3}

Next Step Evaluate

∴

V = 38402.6253792397m³

LAST Step Rounding Answer

∴

V = 38402.6254m³

Volume of Truncated Cuboctahedron given Midsphere Radius Formula Elements

Variables

Functions

Volume of Truncated Cuboctahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Truncated Cuboctahedron

Midsphere Radius of Truncated Cuboctahedron

Midsphere Radius of Truncated Cuboctahedron is the radius of the sphere for which all the edges of the Truncated Cuboctahedron 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 Cuboctahedron

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 Cuboctahedron

Go Volume of Truncated Cuboctahedron

V = 2 \cdot (11 + (7 \cdot \sqrt{2})) \cdot {l e}^{3}

Go Volume of Truncated Cuboctahedron given Total Surface Area

V = 2 \cdot (11 + (7 \cdot \sqrt{2})) \cdot {(\sqrt{\frac{TSA}{12 \cdot (2 + \sqrt{2} + \sqrt{3})}})}^{3}

Go Volume of Truncated Cuboctahedron given Circumsphere Radius

V = 2 \cdot (11 + (7 \cdot \sqrt{2})) \cdot {(\frac{2 \cdot r c}{\sqrt{13 + (6 \cdot \sqrt{2})}})}^{3}

Go Volume of Truncated Cuboctahedron given Surface to Volume Ratio

V = 2 \cdot (11 + (7 \cdot \sqrt{2})) \cdot {(\frac{6 \cdot (2 + \sqrt{2} + \sqrt{3})}{R A/V \cdot (11 + (7 \cdot \sqrt{2}))})}^{3}

How to Evaluate Volume of Truncated Cuboctahedron given Midsphere Radius?

Volume of Truncated Cuboctahedron given Midsphere Radius evaluator uses Volume of Truncated Cuboctahedron = 2*(11+(7*sqrt(2)))*((2*Midsphere Radius of Truncated Cuboctahedron)/(sqrt(12+(6*sqrt(2)))))^3 to evaluate the Volume of Truncated Cuboctahedron, Volume of Truncated Cuboctahedron given Midsphere Radius formula is defined as the total quantity of three dimensional space enclosed by the surface of the Truncated Cuboctahedron, and calculated using the midsphere radius of the Truncated Cuboctahedron. Volume of Truncated Cuboctahedron is denoted by V symbol.

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

FAQs on Volume of Truncated Cuboctahedron given Midsphere Radius

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

The formula of Volume of Truncated Cuboctahedron given Midsphere Radius is expressed as Volume of Truncated Cuboctahedron = 2*(11+(7*sqrt(2)))*((2*Midsphere Radius of Truncated Cuboctahedron)/(sqrt(12+(6*sqrt(2)))))^3. Here is an example- 38402.63 = 2*(11+(7*sqrt(2)))*((2*22)/(sqrt(12+(6*sqrt(2)))))^3.

How to calculate Volume of Truncated Cuboctahedron given Midsphere Radius?

With Midsphere Radius of Truncated Cuboctahedron (r_m) we can find Volume of Truncated Cuboctahedron given Midsphere Radius using the formula - Volume of Truncated Cuboctahedron = 2*(11+(7*sqrt(2)))*((2*Midsphere Radius of Truncated Cuboctahedron)/(sqrt(12+(6*sqrt(2)))))^3. This formula also uses Square Root Function function(s).

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

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

Volume of Truncated Cuboctahedron=2*(11+(7*sqrt(2)))*Edge Length of Truncated Cuboctahedron^3
Volume of Truncated Cuboctahedron=2*(11+(7*sqrt(2)))*(sqrt(Total Surface Area of Truncated Cuboctahedron/(12*(2+sqrt(2)+sqrt(3)))))^3
Volume of Truncated Cuboctahedron=2*(11+(7*sqrt(2)))*((2*Circumsphere Radius of Truncated Cuboctahedron)/(sqrt(13+(6*sqrt(2)))))^3

Can the Volume of Truncated Cuboctahedron given Midsphere Radius be negative?

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

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

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

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