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Volume of Cuboctahedron given Circumsphere Radius Formula

GoVolume of Cuboctahedron Formula

GoVolume of Cuboctahedron given Lateral Surface Area 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 {r c}^{3}

V - Volume of Cuboctahedron?r_c - Circumsphere Radius of Cuboctahedron?

Volume of Cuboctahedron given Circumsphere Radius Example

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

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

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

2357.0226 = 5 \cdot \frac{\sqrt{2}}{3} \cdot 10^{3}

2357.0226m³ = 5 \cdot \frac{\sqrt{2}}{3} \cdot {10m}^{3}

2357.0226 = 5 \cdot \frac{\sqrt{2}}{3} \cdot 10^{3}

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Volume of Cuboctahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = 5 \cdot \frac{\sqrt{2}}{3} \cdot {10m}^{3}

Next Step Prepare to Evaluate

∴

V = 5 \cdot \frac{\sqrt{2}}{3} \cdot 10^{3}

Next Step Evaluate

∴

V = 2357.02260395516m³

LAST Step Rounding Answer

∴

V = 2357.0226m³

Volume of Cuboctahedron given Circumsphere 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

Circumsphere Radius of Cuboctahedron

Circumsphere Radius of Cuboctahedron is the radius of the sphere that contains the Cuboctahedron in such a way that all the vertices are lying on the sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere 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 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 Midsphere Radius

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

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 Circumsphere Radius?

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

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

FAQs on Volume of Cuboctahedron given Circumsphere Radius

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

The formula of Volume of Cuboctahedron given Circumsphere Radius is expressed as Volume of Cuboctahedron = 5*sqrt(2)/3*Circumsphere Radius of Cuboctahedron^3. Here is an example- 2357.023 = 5*sqrt(2)/3*10^3.

How to calculate Volume of Cuboctahedron given Circumsphere Radius?

With Circumsphere Radius of Cuboctahedron (r_c) we can find Volume of Cuboctahedron given Circumsphere Radius using the formula - Volume of Cuboctahedron = 5*sqrt(2)/3*Circumsphere 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*(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))^(3/2)
Volume of Cuboctahedron=5*sqrt(2)/3*(2/sqrt(3)*Midsphere Radius of Cuboctahedron)^3

Can the Volume of Cuboctahedron given Circumsphere Radius be negative?

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

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

Volume of Cuboctahedron given Circumsphere 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 Circumsphere Radius can be measured.

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