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Volume of Rhombicuboctahedron given Surface to Volume Ratio Formula

GoVolume of Rhombicuboctahedron Formula

GoVolume of Rhombicuboctahedron given Total Surface Area Formula

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

V = \frac{2}{3} \cdot (6 + (5 \cdot \sqrt{2})) \cdot {(\frac{3 \cdot (9 + \sqrt{3})}{R A/V \cdot (6 + (5 \cdot \sqrt{2}))})}^{3}

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

Volume of Rhombicuboctahedron given Surface to Volume Ratio Example

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

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

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

4823.1944 = \frac{2}{3} \cdot (6 + (5 \cdot \sqrt{2})) \cdot {(\frac{3 \cdot (9 + \sqrt{3})}{0.3 \cdot (6 + (5 \cdot \sqrt{2}))})}^{3}

4823.1944m³ = \frac{2}{3} \cdot (6 + (5 \cdot \sqrt{2})) \cdot {(\frac{3 \cdot (9 + \sqrt{3})}{0.3m⁻¹ \cdot (6 + (5 \cdot \sqrt{2}))})}^{3}

4823.1944 = \frac{2}{3} \cdot (6 + (5 \cdot \sqrt{2})) \cdot {(\frac{3 \cdot (9 + \sqrt{3})}{0.3 \cdot (6 + (5 \cdot \sqrt{2}))})}^{3}

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Volume of Rhombicuboctahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

V = \frac{2}{3} \cdot (6 + (5 \cdot \sqrt{2})) \cdot {(\frac{3 \cdot (9 + \sqrt{3})}{R A/V \cdot (6 + (5 \cdot \sqrt{2}))})}^{3}

Next Step Substitute values of Variables

∴

V = \frac{2}{3} \cdot (6 + (5 \cdot \sqrt{2})) \cdot {(\frac{3 \cdot (9 + \sqrt{3})}{0.3m⁻¹ \cdot (6 + (5 \cdot \sqrt{2}))})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{2}{3} \cdot (6 + (5 \cdot \sqrt{2})) \cdot {(\frac{3 \cdot (9 + \sqrt{3})}{0.3 \cdot (6 + (5 \cdot \sqrt{2}))})}^{3}

Next Step Evaluate

∴

V = 4823.1943881464m³

LAST Step Rounding Answer

∴

V = 4823.1944m³

Volume of Rhombicuboctahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Volume of Rhombicuboctahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Rhombicuboctahedron

Surface to Volume Ratio of Rhombicuboctahedron

Surface to Volume Ratio of Rhombicuboctahedron is the numerical ratio of the total surface area of a Rhombicuboctahedron to the volume of the Rhombicuboctahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Rhombicuboctahedron

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 Rhombicuboctahedron

Go Volume of Rhombicuboctahedron

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

Go Volume of Rhombicuboctahedron given Total Surface Area

V = \frac{2}{3} \cdot (6 + (5 \cdot \sqrt{2})) \cdot {(\sqrt{\frac{TSA}{2 \cdot (9 + \sqrt{3})}})}^{3}

Go Volume of Rhombicuboctahedron given Circumsphere Radius

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

Go Volume of Rhombicuboctahedron given Midsphere Radius

V = \frac{2}{3} \cdot (6 + (5 \cdot \sqrt{2})) \cdot {(\frac{2 \cdot r m}{\sqrt{4 + (2 \cdot \sqrt{2})}})}^{3}

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

Volume of Rhombicuboctahedron given Surface to Volume Ratio evaluator uses Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*((3*(9+sqrt(3)))/(Surface to Volume Ratio of Rhombicuboctahedron*(6+(5*sqrt(2)))))^3 to evaluate the Volume of Rhombicuboctahedron, Volume of Rhombicuboctahedron given Surface to Volume Ratio formula is defined as the total quantity of three dimensional space enclosed by the surface of the Rhombicuboctahedron, and calculated using the surface to volume ratio of the Rhombicuboctahedron. Volume of Rhombicuboctahedron is denoted by V symbol.

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

FAQs on Volume of Rhombicuboctahedron given Surface to Volume Ratio

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

The formula of Volume of Rhombicuboctahedron given Surface to Volume Ratio is expressed as Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*((3*(9+sqrt(3)))/(Surface to Volume Ratio of Rhombicuboctahedron*(6+(5*sqrt(2)))))^3. Here is an example- 4823.194 = 2/3*(6+(5*sqrt(2)))*((3*(9+sqrt(3)))/(0.3*(6+(5*sqrt(2)))))^3.

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

With Surface to Volume Ratio of Rhombicuboctahedron (R_A/V) we can find Volume of Rhombicuboctahedron given Surface to Volume Ratio using the formula - Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*((3*(9+sqrt(3)))/(Surface to Volume Ratio of Rhombicuboctahedron*(6+(5*sqrt(2)))))^3. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Rhombicuboctahedron?

Here are the different ways to Calculate Volume of Rhombicuboctahedron-

Volume of Rhombicuboctahedron=2/3*(6+(5*sqrt(2)))*Edge Length of Rhombicuboctahedron^3
Volume of Rhombicuboctahedron=2/3*(6+(5*sqrt(2)))*(sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3)))))^3
Volume of Rhombicuboctahedron=2/3*(6+(5*sqrt(2)))*((2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2)))))^3

Can the Volume of Rhombicuboctahedron given Surface to Volume Ratio be negative?

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

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

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

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