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Edge Length of Truncated Icosahedron given Surface to Volume Ratio Formula

GoEdge Length of Truncated Icosahedron given Icosahedral Edge Length Formula

GoEdge Length of Truncated Icosahedron given Total Surface Area Formula

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

l e = \frac{12 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{R A/V \cdot (125 + (43 \cdot \sqrt{5}))}

l_e - Edge Length of Truncated Icosahedron?R_A/V - Surface to Volume Ratio of Truncated Icosahedron?

Edge Length of Truncated Icosahedron given Surface to Volume Ratio Example

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

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

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

13.1326 = \frac{12 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{0.1 \cdot (125 + (43 \cdot \sqrt{5}))}

13.1326m = \frac{12 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{0.1m⁻¹ \cdot (125 + (43 \cdot \sqrt{5}))}

13.1326 = \frac{12 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{0.1 \cdot (125 + (43 \cdot \sqrt{5}))}

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Edge Length of Truncated Icosahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

l e = \frac{12 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{R A/V \cdot (125 + (43 \cdot \sqrt{5}))}

Next Step Substitute values of Variables

∴

l e = \frac{12 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{0.1m⁻¹ \cdot (125 + (43 \cdot \sqrt{5}))}

Next Step Prepare to Evaluate

∴

l e = \frac{12 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}{0.1 \cdot (125 + (43 \cdot \sqrt{5}))}

Next Step Evaluate

∴

l e = 13.1326158694742m

LAST Step Rounding Answer

∴

l e = 13.1326m

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

Variables

Functions

Edge Length of Truncated Icosahedron

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

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Truncated Icosahedron

Surface to Volume Ratio of Truncated Icosahedron

Surface to Volume Ratio of Truncated Icosahedron is the numerical ratio of the total surface area of a Truncated Icosahedron to the volume of the Truncated Icosahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Truncated Icosahedron

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 Icosahedron

Go Edge Length of Truncated Icosahedron given Icosahedral Edge Length

l e = \frac{l e(Icosahedron)}{3}

Go Edge Length of Truncated Icosahedron given Total Surface Area

l e = \sqrt{\frac{TSA}{3 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}}

Go Edge Length of Truncated Icosahedron given Volume

l e = {(\frac{4 \cdot V}{125 + (43 \cdot \sqrt{5})})}^{\frac{1}{3}}

Go Edge Length of Truncated Icosahedron given Circumsphere Radius

l e = \frac{4 \cdot r c}{\sqrt{58 + (18 \cdot \sqrt{5})}}

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

Edge Length of Truncated Icosahedron given Surface to Volume Ratio evaluator uses Edge Length of Truncated Icosahedron = (12*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))/(Surface to Volume Ratio of Truncated Icosahedron*(125+(43*sqrt(5)))) to evaluate the Edge Length of Truncated Icosahedron, Edge Length of Truncated Icosahedron given Surface to Volume Ratio formula is defined as the length of any edge of the Truncated Icosahedron, and calculated using the surface to volume ratio of the Truncated Icosahedron. Edge Length of Truncated Icosahedron is denoted by l_e symbol.

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

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

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

The formula of Edge Length of Truncated Icosahedron given Surface to Volume Ratio is expressed as Edge Length of Truncated Icosahedron = (12*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))/(Surface to Volume Ratio of Truncated Icosahedron*(125+(43*sqrt(5)))). Here is an example- 13.13262 = (12*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))/(0.1*(125+(43*sqrt(5)))).

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

With Surface to Volume Ratio of Truncated Icosahedron (R_A/V) we can find Edge Length of Truncated Icosahedron given Surface to Volume Ratio using the formula - Edge Length of Truncated Icosahedron = (12*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))/(Surface to Volume Ratio of Truncated Icosahedron*(125+(43*sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

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

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

Edge Length of Truncated Icosahedron=Icosahedral Edge Length of Truncated Icosahedron/3
Edge Length of Truncated Icosahedron=sqrt(Total Surface Area of Truncated Icosahedron/(3*((10*sqrt(3))+sqrt(25+(10*sqrt(5))))))
Edge Length of Truncated Icosahedron=((4*Volume of Truncated Icosahedron)/(125+(43*sqrt(5))))^(1/3)

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

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

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

Edge Length of Truncated Icosahedron 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 Icosahedron given Surface to Volume Ratio can be measured.

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