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Surface to Volume Ratio of Cuboctahedron given Midsphere Radius Formula

GoSurface to Volume Ratio of Cuboctahedron Formula

GoSurface to Volume Ratio of Cuboctahedron given Circumsphere Radius Formula

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

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

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

Surface to Volume Ratio of Cuboctahedron given Midsphere Radius Example

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

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

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

0.3864 = \frac{18 + (6 \cdot \sqrt{3})}{5 \cdot \sqrt{2} \cdot \frac{2}{\sqrt{3}} \cdot 9}

0.3864m⁻¹ = \frac{18 + (6 \cdot \sqrt{3})}{5 \cdot \sqrt{2} \cdot \frac{2}{\sqrt{3}} \cdot 9m}

0.3864 = \frac{18 + (6 \cdot \sqrt{3})}{5 \cdot \sqrt{2} \cdot \frac{2}{\sqrt{3}} \cdot 9}

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Surface to Volume Ratio of Cuboctahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R A/V = \frac{18 + (6 \cdot \sqrt{3})}{5 \cdot \sqrt{2} \cdot \frac{2}{\sqrt{3}} \cdot 9m}

Next Step Prepare to Evaluate

∴

R A/V = \frac{18 + (6 \cdot \sqrt{3})}{5 \cdot \sqrt{2} \cdot \frac{2}{\sqrt{3}} \cdot 9}

Next Step Evaluate

∴

R A/V = 0.386370330515627m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.3864m⁻¹

Surface to Volume Ratio of Cuboctahedron given Midsphere Radius Formula Elements

Variables

Functions

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

Midsphere Radius of Cuboctahedron

Midsphere Radius of Cuboctahedron is the radius of the sphere which is tangent to every edge of the Cuboctahedron and also is present in between its insphere and the circumsphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius 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 Surface to Volume Ratio of Cuboctahedron

Go Surface to Volume Ratio of Cuboctahedron

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

Go Surface to Volume Ratio of Cuboctahedron given Circumsphere Radius

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

Go Surface to Volume Ratio of Cuboctahedron given Lateral Surface Area

R A/V = \frac{18 + (6 \cdot \sqrt{3})}{5 \cdot \sqrt{2} \cdot \sqrt{\frac{LSA}{(2 \cdot \sqrt{3}) + 4}}}

Go Surface to Volume Ratio of Cuboctahedron given Total Surface Area

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

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

Surface to Volume Ratio of Cuboctahedron given Midsphere Radius evaluator uses Surface to Volume Ratio of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*2/sqrt(3)*Midsphere Radius of Cuboctahedron) to evaluate the Surface to Volume Ratio of Cuboctahedron, The Surface to Volume Ratio of Cuboctahedron given Midsphere Radius formula is defined as the fraction of the surface area to the volume of the Cuboctahedron, calculated using midsphere radius of Cuboctahedron. Surface to Volume Ratio of Cuboctahedron is denoted by R_A/V symbol.

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

FAQs on Surface to Volume Ratio of Cuboctahedron given Midsphere Radius

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

The formula of Surface to Volume Ratio of Cuboctahedron given Midsphere Radius is expressed as Surface to Volume Ratio of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*2/sqrt(3)*Midsphere Radius of Cuboctahedron). Here is an example- 0.38637 = (18+(6*sqrt(3)))/(5*sqrt(2)*2/sqrt(3)*9).

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

With Midsphere Radius of Cuboctahedron (r_m) we can find Surface to Volume Ratio of Cuboctahedron given Midsphere Radius using the formula - Surface to Volume Ratio of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*2/sqrt(3)*Midsphere Radius of Cuboctahedron). This formula also uses Square Root (sqrt) function(s).

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

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

Surface to Volume Ratio of Cuboctahedron=(18+(6*sqrt(3)))/(5*sqrt(2)*Edge Length of Cuboctahedron)
Surface to Volume Ratio of Cuboctahedron=(18+(6*sqrt(3)))/(5*sqrt(2)*Circumsphere Radius of Cuboctahedron)
Surface to Volume Ratio of Cuboctahedron=(18+(6*sqrt(3)))/(5*sqrt(2)*sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4)))

Can the Surface to Volume Ratio of Cuboctahedron given Midsphere Radius be negative?

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

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

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

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