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Surface to Volume Ratio of Truncated Icosidodecahedron given Midsphere 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 m}{\sqrt{30 + (12 \cdot \sqrt{5})}} \cdot (19 + (10 \cdot \sqrt{5}))}

R_A/V - SA:V of Truncated Icosidodecahedron?r_m - Midsphere Radius of Truncated Icosidodecahedron?

Surface to Volume Ratio of Truncated Icosidodecahedron given Midsphere Radius Example

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

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

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

0.0859 = \frac{3 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{\frac{37}{\sqrt{30 + (12 \cdot \sqrt{5})}} \cdot (19 + (10 \cdot \sqrt{5}))}

0.0859m⁻¹ = \frac{3 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{\frac{37m}{\sqrt{30 + (12 \cdot \sqrt{5})}} \cdot (19 + (10 \cdot \sqrt{5}))}

0.0859 = \frac{3 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{\frac{37}{\sqrt{30 + (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 Midsphere Radius

Surface to Volume Ratio of Truncated Icosidodecahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

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}))}

Next Step Substitute values of Variables

∴

R A/V = \frac{3 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{\frac{37m}{\sqrt{30 + (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{37}{\sqrt{30 + (12 \cdot \sqrt{5})}} \cdot (19 + (10 \cdot \sqrt{5}))}

Next Step Evaluate

∴

R A/V = 0.0858593751915841m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.0859m⁻¹

Surface to Volume Ratio of Truncated Icosidodecahedron given Midsphere 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

Midsphere Radius of Truncated Icosidodecahedron

Midsphere Radius of Truncated Icosidodecahedron is the radius of the sphere for which all the edges of the Truncated Icosidodecahedron 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 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 Circumsphere Radius

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}))}

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

Surface to Volume Ratio of Truncated Icosidodecahedron given Midsphere Radius evaluator uses SA:V of Truncated Icosidodecahedron = (3*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))))/(Midsphere Radius of Truncated Icosidodecahedron/(sqrt(30+(12*sqrt(5))))*(19+(10*sqrt(5)))) to evaluate the SA:V of Truncated Icosidodecahedron, Surface to Volume Ratio of Truncated Icosidodecahedron given Midsphere 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 midsphere 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 Midsphere Radius using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Truncated Icosidodecahedron given Midsphere Radius, enter Midsphere Radius of Truncated Icosidodecahedron (r_m) and hit the calculate button.

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

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

The formula of Surface to Volume Ratio of Truncated Icosidodecahedron given Midsphere Radius is expressed as SA:V of Truncated Icosidodecahedron = (3*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))))/(Midsphere Radius of Truncated Icosidodecahedron/(sqrt(30+(12*sqrt(5))))*(19+(10*sqrt(5)))). Here is an example- 0.085859 = (3*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))))/(37/(sqrt(30+(12*sqrt(5))))*(19+(10*sqrt(5)))).

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

With Midsphere Radius of Truncated Icosidodecahedron (r_m) we can find Surface to Volume Ratio of Truncated Icosidodecahedron given Midsphere Radius using the formula - SA:V of Truncated Icosidodecahedron = (3*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))))/(Midsphere Radius of Truncated Icosidodecahedron/(sqrt(30+(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 Midsphere Radius be negative?

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

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

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

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