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Surface to Volume Ratio of Truncated Icosidodecahedron Formula

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

GoSurface to Volume Ratio of Truncated Icosidodecahedron given Volume 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{6 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{l e \cdot (19 + (10 \cdot \sqrt{5}))}

R_A/V - SA:V of Truncated Icosidodecahedron?l_e - Edge Length of Truncated Icosidodecahedron?

Surface to Volume Ratio of Truncated Icosidodecahedron Example

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

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

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

0.1053 = \frac{6 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{8 \cdot (19 + (10 \cdot \sqrt{5}))}

0.1053m⁻¹ = \frac{6 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{8m \cdot (19 + (10 \cdot \sqrt{5}))}

0.1053 = \frac{6 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{8 \cdot (19 + (10 \cdot \sqrt{5}))}

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

Surface to Volume Ratio of Truncated Icosidodecahedron Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R A/V = \frac{6 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{8m \cdot (19 + (10 \cdot \sqrt{5}))}

Next Step Prepare to Evaluate

∴

R A/V = \frac{6 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{8 \cdot (19 + (10 \cdot \sqrt{5}))}

Next Step Evaluate

∴

R A/V = 0.105348867142944m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.1053m⁻¹

Surface to Volume Ratio of Truncated Icosidodecahedron 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

Edge Length of Truncated Icosidodecahedron

Edge Length of Truncated Icosidodecahedron is the length of any edge of the Truncated Icosidodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length 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 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}))}

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?

Surface to Volume Ratio of Truncated Icosidodecahedron evaluator uses SA:V of Truncated Icosidodecahedron = (6*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))))/(Edge Length of Truncated Icosidodecahedron*(19+(10*sqrt(5)))) to evaluate the SA:V of Truncated Icosidodecahedron, Surface to Volume Ratio of Truncated Icosidodecahedron formula is defined as the numerical ratio of the total surface area of a Truncated Icosidodecahedron to the volume 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 using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Truncated Icosidodecahedron, enter Edge Length of Truncated Icosidodecahedron (l_e) and hit the calculate button.

FAQs on Surface to Volume Ratio of Truncated Icosidodecahedron

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

The formula of Surface to Volume Ratio of Truncated Icosidodecahedron is expressed as SA:V of Truncated Icosidodecahedron = (6*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))))/(Edge Length of Truncated Icosidodecahedron*(19+(10*sqrt(5)))). Here is an example- 0.105349 = (6*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))))/(8*(19+(10*sqrt(5)))).

How to calculate Surface to Volume Ratio of Truncated Icosidodecahedron?

With Edge Length of Truncated Icosidodecahedron (l_e) we can find Surface to Volume Ratio of Truncated Icosidodecahedron using the formula - SA:V of Truncated Icosidodecahedron = (6*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))))/(Edge Length of Truncated Icosidodecahedron*(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)))))/(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))))
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))))

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

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

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

Surface to Volume Ratio of Truncated Icosidodecahedron 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 can be measured.

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