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Surface to Volume Ratio of Rhombicuboctahedron given Midsphere Radius Formula

GoSurface to Volume Ratio of Rhombicuboctahedron Formula

GoSurface to Volume Ratio of Rhombicuboctahedron given Circumsphere 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 m}{\sqrt{4 + (2 \cdot \sqrt{2})}} \cdot (6 + (5 \cdot \sqrt{2}))}

R_A/V - Surface to Volume Ratio of Rhombicuboctahedron?r_m - Midsphere Radius of Rhombicuboctahedron?

Surface to Volume Ratio of Rhombicuboctahedron given Midsphere Radius Example

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

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

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

0.2476 = \frac{3 \cdot (9 + \sqrt{3})}{\frac{2 \cdot 13}{\sqrt{4 + (2 \cdot \sqrt{2})}} \cdot (6 + (5 \cdot \sqrt{2}))}

0.2476m⁻¹ = \frac{3 \cdot (9 + \sqrt{3})}{\frac{2 \cdot 13m}{\sqrt{4 + (2 \cdot \sqrt{2})}} \cdot (6 + (5 \cdot \sqrt{2}))}

0.2476 = \frac{3 \cdot (9 + \sqrt{3})}{\frac{2 \cdot 13}{\sqrt{4 + (2 \cdot \sqrt{2})}} \cdot (6 + (5 \cdot \sqrt{2}))}

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Surface to Volume Ratio of Rhombicuboctahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

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}))}

Next Step Substitute values of Variables

∴

R A/V = \frac{3 \cdot (9 + \sqrt{3})}{\frac{2 \cdot 13m}{\sqrt{4 + (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 13}{\sqrt{4 + (2 \cdot \sqrt{2})}} \cdot (6 + (5 \cdot \sqrt{2}))}

Next Step Evaluate

∴

R A/V = 0.247559671908701m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.2476m⁻¹

Surface to Volume Ratio of Rhombicuboctahedron given Midsphere 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

Midsphere Radius of Rhombicuboctahedron

Midsphere Radius of Rhombicuboctahedron is the radius of the sphere for which all the edges of the Rhombicuboctahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere 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 Circumsphere Radius

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}))}

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 Midsphere Radius?

Surface to Volume Ratio of Rhombicuboctahedron given Midsphere Radius evaluator uses Surface to Volume Ratio of Rhombicuboctahedron = (3*(9+sqrt(3)))/((2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2))))*(6+(5*sqrt(2)))) to evaluate the Surface to Volume Ratio of Rhombicuboctahedron, Surface to Volume Ratio of Rhombicuboctahedron given Midsphere 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 midsphere 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 Midsphere Radius using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Rhombicuboctahedron given Midsphere Radius, enter Midsphere Radius of Rhombicuboctahedron (r_m) and hit the calculate button.

FAQs on Surface to Volume Ratio of Rhombicuboctahedron given Midsphere Radius

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

The formula of Surface to Volume Ratio of Rhombicuboctahedron given Midsphere Radius is expressed as Surface to Volume Ratio of Rhombicuboctahedron = (3*(9+sqrt(3)))/((2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2))))*(6+(5*sqrt(2)))). Here is an example- 0.24756 = (3*(9+sqrt(3)))/((2*13)/(sqrt(4+(2*sqrt(2))))*(6+(5*sqrt(2)))).

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

With Midsphere Radius of Rhombicuboctahedron (r_m) we can find Surface to Volume Ratio of Rhombicuboctahedron given Midsphere Radius using the formula - Surface to Volume Ratio of Rhombicuboctahedron = (3*(9+sqrt(3)))/((2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(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*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(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 Midsphere Radius be negative?

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

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

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

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