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Surface to Volume Ratio of Truncated Icosidodecahedron given Circumsphere Radius Formula

GoSurface to Volume Ratio of Truncated Icosidodecahedron Formula

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

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SA:V of Truncated Icosidodecahedron is the numerical ratio of the total surface area of a Truncated Icosidodecahedron to the volume of the Truncated Icosidodecahedron. Check FAQs

R A/V = \frac{3 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{\frac{r c}{\sqrt{31 + (12 \cdot \sqrt{5})}} \cdot (19 + (10 \cdot \sqrt{5}))}

R_A/V - SA:V of Truncated Icosidodecahedron?r_c - Circumsphere Radius of Truncated Icosidodecahedron?

Surface to Volume Ratio of Truncated Icosidodecahedron given Circumsphere Radius Example

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

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

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

0.0843 = \frac{3 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{\frac{38}{\sqrt{31 + (12 \cdot \sqrt{5})}} \cdot (19 + (10 \cdot \sqrt{5}))}

0.0843m⁻¹ = \frac{3 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{\frac{38m}{\sqrt{31 + (12 \cdot \sqrt{5})}} \cdot (19 + (10 \cdot \sqrt{5}))}

0.0843 = \frac{3 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{\frac{38}{\sqrt{31 + (12 \cdot \sqrt{5})}} \cdot (19 + (10 \cdot \sqrt{5}))}

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3D Geometry » fx Surface to Volume Ratio of Truncated Icosidodecahedron given Circumsphere Radius

Surface to Volume Ratio of Truncated Icosidodecahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

R A/V = \frac{3 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{\frac{r c}{\sqrt{31 + (12 \cdot \sqrt{5})}} \cdot (19 + (10 \cdot \sqrt{5}))}

Next Step Substitute values of Variables

∴

R A/V = \frac{3 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{\frac{38m}{\sqrt{31 + (12 \cdot \sqrt{5})}} \cdot (19 + (10 \cdot \sqrt{5}))}

Next Step Prepare to Evaluate

∴

R A/V = \frac{3 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{\frac{38}{\sqrt{31 + (12 \cdot \sqrt{5})}} \cdot (19 + (10 \cdot \sqrt{5}))}

Next Step Evaluate

∴

R A/V = 0.0843322006294514m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.0843m⁻¹

Surface to Volume Ratio of Truncated Icosidodecahedron given Circumsphere Radius Formula Elements

Variables

Functions

SA:V of Truncated Icosidodecahedron

SA:V of Truncated Icosidodecahedron is the numerical ratio of the total surface area of a Truncated Icosidodecahedron to the volume of the Truncated Icosidodecahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V of Truncated Icosidodecahedron

Circumsphere Radius of Truncated Icosidodecahedron

Circumsphere Radius of Truncated Icosidodecahedron is the radius of the sphere that contains the Truncated Icosidodecahedron 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 Truncated Icosidodecahedron

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 SA:V of Truncated Icosidodecahedron

Go Surface to Volume Ratio of Truncated Icosidodecahedron

R A/V = \frac{6 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{l e \cdot (19 + (10 \cdot \sqrt{5}))}

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

R A/V = \frac{6 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{\sqrt{\frac{TSA}{30 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}} \cdot (19 + (10 \cdot \sqrt{5}))}

Go Surface to Volume Ratio of Truncated Icosidodecahedron given Volume

R A/V = \frac{6 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{{(\frac{V}{5 \cdot (19 + (10 \cdot \sqrt{5}))})}^{\frac{1}{3}} \cdot (19 + (10 \cdot \sqrt{5}))}

Go Surface to Volume Ratio of Truncated Icosidodecahedron given Midsphere Radius

R A/V = \frac{3 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{\frac{r m}{\sqrt{30 + (12 \cdot \sqrt{5})}} \cdot (19 + (10 \cdot \sqrt{5}))}

How to Evaluate Surface to Volume Ratio of Truncated Icosidodecahedron given Circumsphere Radius?

Surface to Volume Ratio of Truncated Icosidodecahedron given Circumsphere Radius evaluator uses SA:V of Truncated Icosidodecahedron = (3*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))))/(Circumsphere Radius of Truncated Icosidodecahedron/(sqrt(31+(12*sqrt(5))))*(19+(10*sqrt(5)))) to evaluate the SA:V of Truncated Icosidodecahedron, Surface to Volume Ratio of Truncated Icosidodecahedron given Circumsphere Radius formula is defined as the numerical ratio of the total surface area of a Truncated Icosidodecahedron to the volume of the Truncated Icosidodecahedron, and calculated using the circumsphere radius of the Truncated Icosidodecahedron. SA:V of Truncated Icosidodecahedron is denoted by R_A/V symbol.

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

FAQs on Surface to Volume Ratio of Truncated Icosidodecahedron given Circumsphere Radius

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

The formula of Surface to Volume Ratio of Truncated Icosidodecahedron given Circumsphere Radius is expressed as SA:V of Truncated Icosidodecahedron = (3*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))))/(Circumsphere Radius of Truncated Icosidodecahedron/(sqrt(31+(12*sqrt(5))))*(19+(10*sqrt(5)))). Here is an example- 0.084332 = (3*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))))/(38/(sqrt(31+(12*sqrt(5))))*(19+(10*sqrt(5)))).

How to calculate Surface to Volume Ratio of Truncated Icosidodecahedron given Circumsphere Radius?

With Circumsphere Radius of Truncated Icosidodecahedron (r_c) we can find Surface to Volume Ratio of Truncated Icosidodecahedron given Circumsphere Radius using the formula - SA:V of Truncated Icosidodecahedron = (3*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))))/(Circumsphere Radius of Truncated Icosidodecahedron/(sqrt(31+(12*sqrt(5))))*(19+(10*sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate SA:V of Truncated Icosidodecahedron?

Here are the different ways to Calculate SA:V of Truncated Icosidodecahedron-

SA:V of Truncated Icosidodecahedron=(6*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))))/(Edge Length of Truncated Icosidodecahedron*(19+(10*sqrt(5))))
SA:V of Truncated Icosidodecahedron=(6*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))))/(sqrt(Total Surface Area of Truncated Icosidodecahedron/(30*(1+sqrt(3)+sqrt(5+(2*sqrt(5))))))*(19+(10*sqrt(5))))
SA:V of Truncated Icosidodecahedron=(6*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))))/((Volume of Truncated Icosidodecahedron/(5*(19+(10*sqrt(5)))))^(1/3)*(19+(10*sqrt(5))))

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

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

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

Surface to Volume Ratio of Truncated Icosidodecahedron 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 Truncated Icosidodecahedron given Circumsphere Radius can be measured.

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