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Edge Length of Truncated Icosidodecahedron given Surface to Volume Ratio Formula

GoEdge Length of Truncated Icosidodecahedron given Total Surface Area Formula

GoEdge Length of Truncated Icosidodecahedron given Volume Formula

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

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

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

Edge Length of Truncated Icosidodecahedron given Surface to Volume Ratio Example

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

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

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

8.4279 = \frac{6 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{0.1 \cdot (19 + (10 \cdot \sqrt{5}))}

8.4279m = \frac{6 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{0.1m⁻¹ \cdot (19 + (10 \cdot \sqrt{5}))}

8.4279 = \frac{6 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{0.1 \cdot (19 + (10 \cdot \sqrt{5}))}

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Edge Length of Truncated Icosidodecahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = \frac{6 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{0.1m⁻¹ \cdot (19 + (10 \cdot \sqrt{5}))}

Next Step Prepare to Evaluate

∴

l e = \frac{6 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{0.1 \cdot (19 + (10 \cdot \sqrt{5}))}

Next Step Evaluate

∴

l e = 8.42790937143551m

LAST Step Rounding Answer

∴

l e = 8.4279m

Edge Length of Truncated Icosidodecahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

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

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

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 Edge Length of Truncated Icosidodecahedron

Go Edge Length of Truncated Icosidodecahedron given Total Surface Area

l e = \sqrt{\frac{TSA}{30 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}}

Go Edge Length of Truncated Icosidodecahedron given Volume

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

Go Edge Length of Truncated Icosidodecahedron given Circumsphere Radius

l e = \frac{2 \cdot r c}{\sqrt{31 + (12 \cdot \sqrt{5})}}

Go Edge Length of Truncated Icosidodecahedron given Midsphere Radius

l e = \frac{2 \cdot r m}{\sqrt{30 + (12 \cdot \sqrt{5})}}

How to Evaluate Edge Length of Truncated Icosidodecahedron given Surface to Volume Ratio?

Edge Length of Truncated Icosidodecahedron given Surface to Volume Ratio evaluator uses Edge Length of Truncated Icosidodecahedron = (6*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))))/(SA:V of Truncated Icosidodecahedron*(19+(10*sqrt(5)))) to evaluate the Edge Length of Truncated Icosidodecahedron, Edge Length of Truncated Icosidodecahedron given Surface to Volume Ratio formula is defined as the length of any edge of the Truncated Icosidodecahedron, and calculated using the surface to volume ratio of the Truncated Icosidodecahedron. Edge Length of Truncated Icosidodecahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Truncated Icosidodecahedron given Surface to Volume Ratio

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

The formula of Edge Length of Truncated Icosidodecahedron given Surface to Volume Ratio is expressed as Edge Length of Truncated Icosidodecahedron = (6*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))))/(SA:V of Truncated Icosidodecahedron*(19+(10*sqrt(5)))). Here is an example- 8.427909 = (6*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))))/(0.1*(19+(10*sqrt(5)))).

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

With SA:V of Truncated Icosidodecahedron (R_A/V) we can find Edge Length of Truncated Icosidodecahedron given Surface to Volume Ratio using the formula - Edge Length of Truncated Icosidodecahedron = (6*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))))/(SA:V of Truncated Icosidodecahedron*(19+(10*sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Edge Length of Truncated Icosidodecahedron?

Here are the different ways to Calculate Edge Length of Truncated Icosidodecahedron-

Edge Length of Truncated Icosidodecahedron=sqrt(Total Surface Area of Truncated Icosidodecahedron/(30*(1+sqrt(3)+sqrt(5+(2*sqrt(5))))))
Edge Length of Truncated Icosidodecahedron=(Volume of Truncated Icosidodecahedron/(5*(19+(10*sqrt(5)))))^(1/3)
Edge Length of Truncated Icosidodecahedron=(2*Circumsphere Radius of Truncated Icosidodecahedron)/(sqrt(31+(12*sqrt(5))))

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

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

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

Edge Length of Truncated Icosidodecahedron given Surface to Volume Ratio is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Edge Length of Truncated Icosidodecahedron given Surface to Volume Ratio can be measured.

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