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Volume of Truncated Cuboctahedron given Surface to Volume Ratio 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{6 \cdot (2 + \sqrt{2} + \sqrt{3})}{R A/V \cdot (11 + (7 \cdot \sqrt{2}))})}^{3}

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

Volume of Truncated Cuboctahedron given Surface to Volume Ratio Example

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

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

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

16849.9438 = 2 \cdot (11 + (7 \cdot \sqrt{2})) \cdot {(\frac{6 \cdot (2 + \sqrt{2} + \sqrt{3})}{0.2 \cdot (11 + (7 \cdot \sqrt{2}))})}^{3}

16849.9438m³ = 2 \cdot (11 + (7 \cdot \sqrt{2})) \cdot {(\frac{6 \cdot (2 + \sqrt{2} + \sqrt{3})}{0.2m⁻¹ \cdot (11 + (7 \cdot \sqrt{2}))})}^{3}

16849.9438 = 2 \cdot (11 + (7 \cdot \sqrt{2})) \cdot {(\frac{6 \cdot (2 + \sqrt{2} + \sqrt{3})}{0.2 \cdot (11 + (7 \cdot \sqrt{2}))})}^{3}

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Volume of Truncated Cuboctahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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}

Next Step Substitute values of Variables

∴

V = 2 \cdot (11 + (7 \cdot \sqrt{2})) \cdot {(\frac{6 \cdot (2 + \sqrt{2} + \sqrt{3})}{0.2m⁻¹ \cdot (11 + (7 \cdot \sqrt{2}))})}^{3}

Next Step Prepare to Evaluate

∴

V = 2 \cdot (11 + (7 \cdot \sqrt{2})) \cdot {(\frac{6 \cdot (2 + \sqrt{2} + \sqrt{3})}{0.2 \cdot (11 + (7 \cdot \sqrt{2}))})}^{3}

Next Step Evaluate

∴

V = 16849.9437727731m³

LAST Step Rounding Answer

∴

V = 16849.9438m³

Volume of Truncated Cuboctahedron given Surface to Volume Ratio 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

Surface to Volume Ratio of Truncated Cuboctahedron

Surface to Volume Ratio of Truncated Cuboctahedron is the numerical ratio of the total surface area of a Truncated Cuboctahedron to the volume of the Truncated 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 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 Midsphere Radius

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

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

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

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

FAQs on Volume of Truncated Cuboctahedron given Surface to Volume Ratio

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

The formula of Volume of Truncated Cuboctahedron given Surface to Volume Ratio is expressed as Volume of Truncated Cuboctahedron = 2*(11+(7*sqrt(2)))*((6*(2+sqrt(2)+sqrt(3)))/(Surface to Volume Ratio of Truncated Cuboctahedron*(11+(7*sqrt(2)))))^3. Here is an example- 16849.94 = 2*(11+(7*sqrt(2)))*((6*(2+sqrt(2)+sqrt(3)))/(0.2*(11+(7*sqrt(2)))))^3.

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

With Surface to Volume Ratio of Truncated Cuboctahedron (R_A/V) we can find Volume of Truncated Cuboctahedron given Surface to Volume Ratio using the formula - Volume of Truncated Cuboctahedron = 2*(11+(7*sqrt(2)))*((6*(2+sqrt(2)+sqrt(3)))/(Surface to Volume Ratio of Truncated Cuboctahedron*(11+(7*sqrt(2)))))^3. This formula also uses Square Root (sqrt) 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 Surface to Volume Ratio be negative?

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

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

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

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