FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Surface to Volume Ratio of Truncated Icosidodecahedron given Volume Formula

GoSurface to Volume Ratio of Truncated Icosidodecahedron Formula

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

Fx Copy

LaTeX Copy

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})})}{{(\frac{V}{5 \cdot (19 + (10 \cdot \sqrt{5}))})}^{\frac{1}{3}} \cdot (19 + (10 \cdot \sqrt{5}))}

R_A/V - SA:V of Truncated Icosidodecahedron?V - Volume of Truncated Icosidodecahedron?

Surface to Volume Ratio of Truncated Icosidodecahedron given Volume Example

With values

With units

Only example

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

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

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

0.0838 = \frac{6 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{{(\frac{210000}{5 \cdot (19 + (10 \cdot \sqrt{5}))})}^{\frac{1}{3}} \cdot (19 + (10 \cdot \sqrt{5}))}

0.0838m⁻¹ = \frac{6 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{{(\frac{210000m³}{5 \cdot (19 + (10 \cdot \sqrt{5}))})}^{\frac{1}{3}} \cdot (19 + (10 \cdot \sqrt{5}))}

0.0838 = \frac{6 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{{(\frac{210000}{5 \cdot (19 + (10 \cdot \sqrt{5}))})}^{\frac{1}{3}} \cdot (19 + (10 \cdot \sqrt{5}))}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

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

Surface to Volume Ratio of Truncated Icosidodecahedron given Volume Solution

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

FIRST Step Consider the formula

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}))}

Next Step Substitute values of Variables

∴

R A/V = \frac{6 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{{(\frac{210000m³}{5 \cdot (19 + (10 \cdot \sqrt{5}))})}^{\frac{1}{3}} \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})})}{{(\frac{210000}{5 \cdot (19 + (10 \cdot \sqrt{5}))})}^{\frac{1}{3}} \cdot (19 + (10 \cdot \sqrt{5}))}

Next Step Evaluate

∴

R A/V = 0.083849275800811m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.0838m⁻¹

Surface to Volume Ratio of Truncated Icosidodecahedron given Volume 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

Volume of Truncated Icosidodecahedron

Volume of Truncated Icosidodecahedron is the total quantity of three dimensional space enclosed by the surface of the Truncated Icosidodecahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 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 given Volume?

Surface to Volume Ratio of Truncated Icosidodecahedron given Volume evaluator uses 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)))) to evaluate the SA:V of Truncated Icosidodecahedron, Surface to Volume Ratio of Truncated Icosidodecahedron given Volume 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 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 given Volume using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Truncated Icosidodecahedron given Volume, enter Volume of Truncated Icosidodecahedron (V) and hit the calculate button.

FAQs on Surface to Volume Ratio of Truncated Icosidodecahedron given Volume

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

The formula of Surface to Volume Ratio of Truncated Icosidodecahedron given Volume is expressed as 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)))). Here is an example- 0.083849 = (6*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))))/((210000/(5*(19+(10*sqrt(5)))))^(1/3)*(19+(10*sqrt(5)))).

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

With Volume of Truncated Icosidodecahedron (V) we can find Surface to Volume Ratio of Truncated Icosidodecahedron given Volume using the formula - 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)))). 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=(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 given Volume be negative?

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit