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Volume of Cuboctahedron given Surface to Volume Ratio 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{18 + (6 \cdot \sqrt{3})}{5 \cdot \sqrt{2} \cdot R A/V})}^{3}

V - Volume of Cuboctahedron?R_A/V - Surface to Volume Ratio of Cuboctahedron?

Volume of Cuboctahedron given Surface to Volume Ratio Example

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Here is how the Volume of Cuboctahedron given Surface to Volume Ratio equation looks like with Values.

Here is how the Volume of Cuboctahedron given Surface to Volume Ratio equation looks like with Units.

Here is how the Volume of Cuboctahedron given Surface to Volume Ratio equation looks like.

2384.1343 = 5 \cdot \frac{\sqrt{2}}{3} \cdot {(\frac{18 + (6 \cdot \sqrt{3})}{5 \cdot \sqrt{2} \cdot 0.4})}^{3}

2384.1343m³ = 5 \cdot \frac{\sqrt{2}}{3} \cdot {(\frac{18 + (6 \cdot \sqrt{3})}{5 \cdot \sqrt{2} \cdot 0.4m⁻¹})}^{3}

2384.1343 = 5 \cdot \frac{\sqrt{2}}{3} \cdot {(\frac{18 + (6 \cdot \sqrt{3})}{5 \cdot \sqrt{2} \cdot 0.4})}^{3}

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Volume of Cuboctahedron given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Volume of Cuboctahedron given Surface to Volume Ratio?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = 5 \cdot \frac{\sqrt{2}}{3} \cdot {(\frac{18 + (6 \cdot \sqrt{3})}{5 \cdot \sqrt{2} \cdot 0.4m⁻¹})}^{3}

Next Step Prepare to Evaluate

∴

V = 5 \cdot \frac{\sqrt{2}}{3} \cdot {(\frac{18 + (6 \cdot \sqrt{3})}{5 \cdot \sqrt{2} \cdot 0.4})}^{3}

Next Step Evaluate

∴

V = 2384.13429510899m³

LAST Step Rounding Answer

∴

V = 2384.1343m³

Volume of Cuboctahedron given Surface to Volume Ratio 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

Surface to Volume Ratio of Cuboctahedron

Surface to Volume Ratio of Cuboctahedron is the fraction of the surface area to the volume of the Cuboctahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio 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 Midsphere Radius

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

How to Evaluate Volume of Cuboctahedron given Surface to Volume Ratio?

Volume of Cuboctahedron given Surface to Volume Ratio evaluator uses Volume of Cuboctahedron = 5*sqrt(2)/3*((18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron))^3 to evaluate the Volume of Cuboctahedron, The Volume of Cuboctahedron given Surface to Volume Ratio formula is defined as the amount of three-dimensional space enclosed by the surface of the Cuboctahedron, calculated using the surface to volume ratio of the Cuboctahedron. Volume of Cuboctahedron is denoted by V symbol.

How to evaluate Volume of Cuboctahedron given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Volume of Cuboctahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Cuboctahedron (R_A/V) and hit the calculate button.

FAQs on Volume of Cuboctahedron given Surface to Volume Ratio

What is the formula to find Volume of Cuboctahedron given Surface to Volume Ratio?

The formula of Volume of Cuboctahedron given Surface to Volume Ratio is expressed as Volume of Cuboctahedron = 5*sqrt(2)/3*((18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron))^3. Here is an example- 2384.134 = 5*sqrt(2)/3*((18+(6*sqrt(3)))/(5*sqrt(2)*0.4))^3.

How to calculate Volume of Cuboctahedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Cuboctahedron (R_A/V) we can find Volume of Cuboctahedron given Surface to Volume Ratio using the formula - Volume of Cuboctahedron = 5*sqrt(2)/3*((18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio 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 Surface to Volume Ratio be negative?

No, the Volume of Cuboctahedron given Surface to Volume Ratio, measured in Volume cannot be negative.

Which unit is used to measure Volume of Cuboctahedron given Surface to Volume Ratio?

Volume of Cuboctahedron given Surface to Volume Ratio 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 Surface to Volume Ratio can be measured.

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