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Edge Length of Icosidodecahedron given Surface to Volume Ratio Formula

GoEdge Length of Icosidodecahedron given Total Surface Area Formula

GoEdge Length of Icosidodecahedron given Volume Formula

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

l e = \frac{6 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{R A/V \cdot (45 + (17 \cdot \sqrt{5}))}

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

Edge Length of Icosidodecahedron given Surface to Volume Ratio Example

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

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

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

10.5908 = \frac{6 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{0.2 \cdot (45 + (17 \cdot \sqrt{5}))}

10.5908m = \frac{6 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{0.2m⁻¹ \cdot (45 + (17 \cdot \sqrt{5}))}

10.5908 = \frac{6 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{0.2 \cdot (45 + (17 \cdot \sqrt{5}))}

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Edge Length of Icosidodecahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

l e = \frac{6 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{R A/V \cdot (45 + (17 \cdot \sqrt{5}))}

Next Step Substitute values of Variables

∴

l e = \frac{6 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{0.2m⁻¹ \cdot (45 + (17 \cdot \sqrt{5}))}

Next Step Prepare to Evaluate

∴

l e = \frac{6 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{0.2 \cdot (45 + (17 \cdot \sqrt{5}))}

Next Step Evaluate

∴

l e = 10.590845255882m

LAST Step Rounding Answer

∴

l e = 10.5908m

Edge Length of Icosidodecahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Edge Length of Icosidodecahedron

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

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Icosidodecahedron

Surface to Volume Ratio of Icosidodecahedron

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

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of 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 Icosidodecahedron

Go Edge Length of Icosidodecahedron given Total Surface Area

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

Go Edge Length of Icosidodecahedron given Volume

l e = {(\frac{6 \cdot V}{45 + (17 \cdot \sqrt{5})})}^{\frac{1}{3}}

Go Edge Length of Icosidodecahedron given Circumsphere Radius

l e = \frac{2 \cdot r c}{1 + \sqrt{5}}

Go Edge Length of Icosidodecahedron given Midsphere Radius

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

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

Edge Length of Icosidodecahedron given Surface to Volume Ratio evaluator uses Edge Length of Icosidodecahedron = (6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio of Icosidodecahedron*(45+(17*sqrt(5)))) to evaluate the Edge Length of Icosidodecahedron, Edge Length of Icosidodecahedron given Surface to Volume Ratio formula is defined as the length of any edge of the Icosidodecahedron, and calculated using the surface to volume ratio of the Icosidodecahedron. Edge Length of Icosidodecahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Icosidodecahedron given Surface to Volume Ratio

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

The formula of Edge Length of Icosidodecahedron given Surface to Volume Ratio is expressed as Edge Length of Icosidodecahedron = (6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio of Icosidodecahedron*(45+(17*sqrt(5)))). Here is an example- 10.59085 = (6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(0.2*(45+(17*sqrt(5)))).

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

With Surface to Volume Ratio of Icosidodecahedron (R_A/V) we can find Edge Length of Icosidodecahedron given Surface to Volume Ratio using the formula - Edge Length of Icosidodecahedron = (6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio of Icosidodecahedron*(45+(17*sqrt(5)))). This formula also uses Square Root Function function(s).

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

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

Edge Length of Icosidodecahedron=sqrt(Total Surface Area of Icosidodecahedron/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))
Edge Length of Icosidodecahedron=((6*Volume of Icosidodecahedron)/(45+(17*sqrt(5))))^(1/3)
Edge Length of Icosidodecahedron=(2*Circumsphere Radius of Icosidodecahedron)/(1+sqrt(5))

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

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

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

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

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