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Volume of Cuboctahedron given Midsphere Radius Formula

GoVolume of Cuboctahedron Formula

GoVolume of Cuboctahedron given Circumsphere Radius Formula

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Volume of Cuboctahedron is the amount of 3-dimensional space enclosed by the surface of the Cuboctahedron. Check FAQs

V = 5 \cdot \frac{\sqrt{2}}{3} \cdot {(\frac{2}{\sqrt{3}} \cdot r m)}^{3}

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

Volume of Cuboctahedron given Midsphere Radius Example

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

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

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

2645.4489 = 5 \cdot \frac{\sqrt{2}}{3} \cdot {(\frac{2}{\sqrt{3}} \cdot 9)}^{3}

2645.4489m³ = 5 \cdot \frac{\sqrt{2}}{3} \cdot {(\frac{2}{\sqrt{3}} \cdot 9m)}^{3}

2645.4489 = 5 \cdot \frac{\sqrt{2}}{3} \cdot {(\frac{2}{\sqrt{3}} \cdot 9)}^{3}

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Volume of Cuboctahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

V = 5 \cdot \frac{\sqrt{2}}{3} \cdot {(\frac{2}{\sqrt{3}} \cdot r m)}^{3}

Next Step Substitute values of Variables

∴

V = 5 \cdot \frac{\sqrt{2}}{3} \cdot {(\frac{2}{\sqrt{3}} \cdot 9m)}^{3}

Next Step Prepare to Evaluate

∴

V = 5 \cdot \frac{\sqrt{2}}{3} \cdot {(\frac{2}{\sqrt{3}} \cdot 9)}^{3}

Next Step Evaluate

∴

V = 2645.44892220583m³

LAST Step Rounding Answer

∴

V = 2645.4489m³

Volume of Cuboctahedron given Midsphere Radius Formula Elements

Variables

Functions

Volume of Cuboctahedron

Volume of Cuboctahedron is the amount of 3-dimensional space enclosed by the surface of the Cuboctahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Cuboctahedron

Midsphere Radius of Cuboctahedron

Midsphere Radius of Cuboctahedron is the radius of the sphere which is tangent to every edge of the Cuboctahedron and also is present in between its insphere and the circumsphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius of 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 Cuboctahedron

Go Volume of Cuboctahedron

V = 5 \cdot \frac{\sqrt{2}}{3} \cdot {l e}^{3}

Go Volume of Cuboctahedron given Circumsphere Radius

V = 5 \cdot \frac{\sqrt{2}}{3} \cdot {r c}^{3}

Go Volume of Cuboctahedron given Lateral Surface Area

V = 5 \cdot \frac{\sqrt{2}}{3} \cdot {(\frac{LSA}{(2 \cdot \sqrt{3}) + 4})}^{\frac{3}{2}}

Go Volume of Cuboctahedron given Surface to Volume Ratio

V = 5 \cdot \frac{\sqrt{2}}{3} \cdot {(\frac{18 + (6 \cdot \sqrt{3})}{5 \cdot \sqrt{2} \cdot R A/V})}^{3}

How to Evaluate Volume of Cuboctahedron given Midsphere Radius?

Volume of Cuboctahedron given Midsphere Radius evaluator uses Volume of Cuboctahedron = 5*sqrt(2)/3*(2/sqrt(3)*Midsphere Radius of Cuboctahedron)^3 to evaluate the Volume of Cuboctahedron, The Volume of Cuboctahedron given Midsphere Radius formula is defined as the amount of three-dimensional space enclosed by the surface of the Cuboctahedron, calculated using the midsphere radius of Cuboctahedron. Volume of Cuboctahedron is denoted by V symbol.

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

FAQs on Volume of Cuboctahedron given Midsphere Radius

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

The formula of Volume of Cuboctahedron given Midsphere Radius is expressed as Volume of Cuboctahedron = 5*sqrt(2)/3*(2/sqrt(3)*Midsphere Radius of Cuboctahedron)^3. Here is an example- 2645.449 = 5*sqrt(2)/3*(2/sqrt(3)*9)^3.

How to calculate Volume of Cuboctahedron given Midsphere Radius?

With Midsphere Radius of Cuboctahedron (r_m) we can find Volume of Cuboctahedron given Midsphere Radius using the formula - Volume of Cuboctahedron = 5*sqrt(2)/3*(2/sqrt(3)*Midsphere Radius of Cuboctahedron)^3. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Cuboctahedron?

Here are the different ways to Calculate Volume of Cuboctahedron-

Volume of Cuboctahedron=5*sqrt(2)/3*Edge Length of Cuboctahedron^3
Volume of Cuboctahedron=5*sqrt(2)/3*Circumsphere Radius of Cuboctahedron^3
Volume of Cuboctahedron=5*sqrt(2)/3*(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))^(3/2)

Can the Volume of Cuboctahedron given Midsphere Radius be negative?

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

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

Volume of 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 Cuboctahedron given Midsphere Radius can be measured.

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