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Surface to Volume Ratio of Rhombicuboctahedron given Circumsphere Radius Formula

GoSurface to Volume Ratio of Rhombicuboctahedron Formula

GoSurface to Volume Ratio of Rhombicuboctahedron given Midsphere Radius Formula

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

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

R_A/V - Surface to Volume Ratio of Rhombicuboctahedron?r_c - Circumsphere Radius of Rhombicuboctahedron?

Surface to Volume Ratio of Rhombicuboctahedron given Circumsphere Radius Example

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

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

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

0.2461 = \frac{3 \cdot (9 + \sqrt{3})}{\frac{2 \cdot 14}{\sqrt{5 + (2 \cdot \sqrt{2})}} \cdot (6 + (5 \cdot \sqrt{2}))}

0.2461m⁻¹ = \frac{3 \cdot (9 + \sqrt{3})}{\frac{2 \cdot 14m}{\sqrt{5 + (2 \cdot \sqrt{2})}} \cdot (6 + (5 \cdot \sqrt{2}))}

0.2461 = \frac{3 \cdot (9 + \sqrt{3})}{\frac{2 \cdot 14}{\sqrt{5 + (2 \cdot \sqrt{2})}} \cdot (6 + (5 \cdot \sqrt{2}))}

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Surface to Volume Ratio of Rhombicuboctahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R A/V = \frac{3 \cdot (9 + \sqrt{3})}{\frac{2 \cdot 14m}{\sqrt{5 + (2 \cdot \sqrt{2})}} \cdot (6 + (5 \cdot \sqrt{2}))}

Next Step Prepare to Evaluate

∴

R A/V = \frac{3 \cdot (9 + \sqrt{3})}{\frac{2 \cdot 14}{\sqrt{5 + (2 \cdot \sqrt{2})}} \cdot (6 + (5 \cdot \sqrt{2}))}

Next Step Evaluate

∴

R A/V = 0.246134296170756m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.2461m⁻¹

Surface to Volume Ratio of Rhombicuboctahedron given Circumsphere Radius Formula Elements

Variables

Functions

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

Circumsphere Radius of Rhombicuboctahedron

Circumsphere Radius of Rhombicuboctahedron is the radius of the sphere that contains the Rhombicuboctahedron 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 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 Surface to Volume Ratio of Rhombicuboctahedron

Go Surface to Volume Ratio of Rhombicuboctahedron

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

Go Surface to Volume Ratio of Rhombicuboctahedron given Midsphere Radius

R A/V = \frac{3 \cdot (9 + \sqrt{3})}{\frac{2 \cdot r m}{\sqrt{4 + (2 \cdot \sqrt{2})}} \cdot (6 + (5 \cdot \sqrt{2}))}

Go Surface to Volume Ratio of Rhombicuboctahedron given Volume

R A/V = \frac{3 \cdot (9 + \sqrt{3})}{{(\frac{3 \cdot V}{2 \cdot (6 + (5 \cdot \sqrt{2}))})}^{\frac{1}{3}} \cdot (6 + (5 \cdot \sqrt{2}))}

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

Surface to Volume Ratio of Rhombicuboctahedron given Circumsphere Radius evaluator uses Surface to Volume Ratio of Rhombicuboctahedron = (3*(9+sqrt(3)))/((2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2))))*(6+(5*sqrt(2)))) to evaluate the Surface to Volume Ratio of Rhombicuboctahedron, Surface to Volume Ratio of Rhombicuboctahedron given Circumsphere Radius formula is defined as the numerical ratio of the total surface area of a Rhombicuboctahedron to the volume of the Rhombicuboctahedron, and calculated using the circumsphere radius of the Rhombicuboctahedron. Surface to Volume Ratio of Rhombicuboctahedron is denoted by R_A/V symbol.

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

FAQs on Surface to Volume Ratio of Rhombicuboctahedron given Circumsphere Radius

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

The formula of Surface to Volume Ratio of Rhombicuboctahedron given Circumsphere Radius is expressed as Surface to Volume Ratio of Rhombicuboctahedron = (3*(9+sqrt(3)))/((2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2))))*(6+(5*sqrt(2)))). Here is an example- 0.246134 = (3*(9+sqrt(3)))/((2*14)/(sqrt(5+(2*sqrt(2))))*(6+(5*sqrt(2)))).

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

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

What are the other ways to Calculate Surface to Volume Ratio of Rhombicuboctahedron?

Here are the different ways to Calculate Surface to Volume Ratio of Rhombicuboctahedron-

Surface to Volume Ratio of Rhombicuboctahedron=(3*(9+sqrt(3)))/(Edge Length of Rhombicuboctahedron*(6+(5*sqrt(2))))
Surface to Volume Ratio of Rhombicuboctahedron=(3*(9+sqrt(3)))/((2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2))))*(6+(5*sqrt(2))))
Surface to Volume Ratio of Rhombicuboctahedron=(3*(9+sqrt(3)))/(((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3)*(6+(5*sqrt(2))))

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

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

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

Surface to Volume Ratio of Rhombicuboctahedron given Circumsphere Radius is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Rhombicuboctahedron given Circumsphere Radius can be measured.

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