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Surface to Volume Ratio of Truncated Cuboctahedron given Midsphere Radius Formula

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GoSurface to Volume Ratio of Truncated Cuboctahedron given Total Surface Area Formula

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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. Check FAQs

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

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

Surface to Volume Ratio of Truncated Cuboctahedron given Midsphere Radius Example

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

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

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

0.152 = \frac{6 \cdot (2 + \sqrt{2} + \sqrt{3})}{\frac{2 \cdot 22}{\sqrt{12 + (6 \cdot \sqrt{2})}} \cdot (11 + (7 \cdot \sqrt{2}))}

0.152m⁻¹ = \frac{6 \cdot (2 + \sqrt{2} + \sqrt{3})}{\frac{2 \cdot 22m}{\sqrt{12 + (6 \cdot \sqrt{2})}} \cdot (11 + (7 \cdot \sqrt{2}))}

0.152 = \frac{6 \cdot (2 + \sqrt{2} + \sqrt{3})}{\frac{2 \cdot 22}{\sqrt{12 + (6 \cdot \sqrt{2})}} \cdot (11 + (7 \cdot \sqrt{2}))}

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Surface to Volume Ratio of Truncated Cuboctahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R A/V = \frac{6 \cdot (2 + \sqrt{2} + \sqrt{3})}{\frac{2 \cdot 22m}{\sqrt{12 + (6 \cdot \sqrt{2})}} \cdot (11 + (7 \cdot \sqrt{2}))}

Next Step Prepare to Evaluate

∴

R A/V = \frac{6 \cdot (2 + \sqrt{2} + \sqrt{3})}{\frac{2 \cdot 22}{\sqrt{12 + (6 \cdot \sqrt{2})}} \cdot (11 + (7 \cdot \sqrt{2}))}

Next Step Evaluate

∴

R A/V = 0.151976291392659m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.152m⁻¹

Surface to Volume Ratio of Truncated Cuboctahedron given Midsphere Radius Formula Elements

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Functions

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

Midsphere Radius of Truncated Cuboctahedron

Midsphere Radius of Truncated Cuboctahedron is the radius of the sphere for which all the edges of the Truncated Cuboctahedron 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 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 Surface to Volume Ratio of Truncated Cuboctahedron

Go Surface to Volume Ratio of Truncated Cuboctahedron

R A/V = \frac{6 \cdot (2 + \sqrt{2} + \sqrt{3})}{l e \cdot (11 + (7 \cdot \sqrt{2}))}

Go Surface to Volume Ratio of Truncated Cuboctahedron given Total Surface Area

R A/V = \frac{6 \cdot (2 + \sqrt{2} + \sqrt{3})}{\sqrt{\frac{TSA}{12 \cdot (2 + \sqrt{2} + \sqrt{3})}} \cdot (11 + (7 \cdot \sqrt{2}))}

Go Surface to Volume Ratio of Truncated Cuboctahedron given Volume

R A/V = \frac{6 \cdot (2 + \sqrt{2} + \sqrt{3})}{{(\frac{V}{2 \cdot (11 + (7 \cdot \sqrt{2}))})}^{\frac{1}{3}} \cdot (11 + (7 \cdot \sqrt{2}))}

Go Surface to Volume Ratio of Truncated Cuboctahedron given Circumsphere Radius

R A/V = \frac{6 \cdot (2 + \sqrt{2} + \sqrt{3})}{\frac{2 \cdot r c}{\sqrt{13 + (6 \cdot \sqrt{2})}} \cdot (11 + (7 \cdot \sqrt{2}))}

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

Surface to Volume Ratio of Truncated Cuboctahedron given Midsphere Radius evaluator uses Surface to Volume Ratio of Truncated Cuboctahedron = (6*(2+sqrt(2)+sqrt(3)))/((2*Midsphere Radius of Truncated Cuboctahedron)/(sqrt(12+(6*sqrt(2))))*(11+(7*sqrt(2)))) to evaluate the Surface to Volume Ratio of Truncated Cuboctahedron, Surface to Volume Ratio of Truncated Cuboctahedron given Midsphere Radius formula is defined as the numerical ratio of the total surface area of a Truncated Cuboctahedron to the volume of the Truncated Cuboctahedron, and calculated using the midsphere radius of the Truncated Cuboctahedron. Surface to Volume Ratio of Truncated Cuboctahedron is denoted by R_A/V symbol.

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

FAQs on Surface to Volume Ratio of Truncated Cuboctahedron given Midsphere Radius

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

The formula of Surface to Volume Ratio of Truncated Cuboctahedron given Midsphere Radius is expressed as Surface to Volume Ratio of Truncated Cuboctahedron = (6*(2+sqrt(2)+sqrt(3)))/((2*Midsphere Radius of Truncated Cuboctahedron)/(sqrt(12+(6*sqrt(2))))*(11+(7*sqrt(2)))). Here is an example- 0.151976 = (6*(2+sqrt(2)+sqrt(3)))/((2*22)/(sqrt(12+(6*sqrt(2))))*(11+(7*sqrt(2)))).

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

With Midsphere Radius of Truncated Cuboctahedron (r_m) we can find Surface to Volume Ratio of Truncated Cuboctahedron given Midsphere Radius using the formula - Surface to Volume Ratio of Truncated Cuboctahedron = (6*(2+sqrt(2)+sqrt(3)))/((2*Midsphere Radius of Truncated Cuboctahedron)/(sqrt(12+(6*sqrt(2))))*(11+(7*sqrt(2)))). This formula also uses Square Root (sqrt) function(s).

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

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

Surface to Volume Ratio of Truncated Cuboctahedron=(6*(2+sqrt(2)+sqrt(3)))/(Edge Length of Truncated Cuboctahedron*(11+(7*sqrt(2))))
Surface to Volume Ratio of Truncated Cuboctahedron=(6*(2+sqrt(2)+sqrt(3)))/(sqrt(Total Surface Area of Truncated Cuboctahedron/(12*(2+sqrt(2)+sqrt(3))))*(11+(7*sqrt(2))))
Surface to Volume Ratio of Truncated Cuboctahedron=(6*(2+sqrt(2)+sqrt(3)))/((Volume of Truncated Cuboctahedron/(2*(11+(7*sqrt(2)))))^(1/3)*(11+(7*sqrt(2))))

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

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

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

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

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