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Edge Length of Truncated Icosidodecahedron given Midsphere Radius 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{2 \cdot r m}{\sqrt{30 + (12 \cdot \sqrt{5})}}

l_e - Edge Length of Truncated Icosidodecahedron?r_m - Midsphere Radius of Truncated Icosidodecahedron?

Edge Length of Truncated Icosidodecahedron given Midsphere Radius Example

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Here is how the Edge Length of Truncated Icosidodecahedron given Midsphere Radius equation looks like with Values.

Here is how the Edge Length of Truncated Icosidodecahedron given Midsphere Radius equation looks like with Units.

Here is how the Edge Length of Truncated Icosidodecahedron given Midsphere Radius equation looks like.

9.8159 = \frac{2 \cdot 37}{\sqrt{30 + (12 \cdot \sqrt{5})}}

9.8159m = \frac{2 \cdot 37m}{\sqrt{30 + (12 \cdot \sqrt{5})}}

9.8159 = \frac{2 \cdot 37}{\sqrt{30 + (12 \cdot \sqrt{5})}}

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Edge Length of Truncated Icosidodecahedron given Midsphere Radius Solution

Follow our step by step solution on how to calculate Edge Length of Truncated Icosidodecahedron given Midsphere Radius?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = \frac{2 \cdot 37m}{\sqrt{30 + (12 \cdot \sqrt{5})}}

Next Step Prepare to Evaluate

∴

l e = \frac{2 \cdot 37}{\sqrt{30 + (12 \cdot \sqrt{5})}}

Next Step Evaluate

∴

l e = 9.815945378859m

LAST Step Rounding Answer

∴

l e = 9.8159m

Edge Length of Truncated Icosidodecahedron given Midsphere Radius 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

Midsphere Radius of Truncated Icosidodecahedron

Midsphere Radius of Truncated Icosidodecahedron is the radius of the sphere for which all the edges of the Truncated Icosidodecahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius 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 Surface to Volume Ratio

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

How to Evaluate Edge Length of Truncated Icosidodecahedron given Midsphere Radius?

Edge Length of Truncated Icosidodecahedron given Midsphere Radius evaluator uses Edge Length of Truncated Icosidodecahedron = (2*Midsphere Radius of Truncated Icosidodecahedron)/(sqrt(30+(12*sqrt(5)))) to evaluate the Edge Length of Truncated Icosidodecahedron, Edge Length of Truncated Icosidodecahedron given Midsphere Radius formula is defined as the length of any edge of the Truncated Icosidodecahedron, and calculated using the midsphere radius of the Truncated Icosidodecahedron. Edge Length of Truncated Icosidodecahedron is denoted by l_e symbol.

How to evaluate Edge Length of Truncated Icosidodecahedron given Midsphere Radius using this online evaluator? To use this online evaluator for Edge Length of Truncated Icosidodecahedron given Midsphere Radius, enter Midsphere Radius of Truncated Icosidodecahedron (r_m) and hit the calculate button.

FAQs on Edge Length of Truncated Icosidodecahedron given Midsphere Radius

What is the formula to find Edge Length of Truncated Icosidodecahedron given Midsphere Radius?

The formula of Edge Length of Truncated Icosidodecahedron given Midsphere Radius is expressed as Edge Length of Truncated Icosidodecahedron = (2*Midsphere Radius of Truncated Icosidodecahedron)/(sqrt(30+(12*sqrt(5)))). Here is an example- 9.815945 = (2*37)/(sqrt(30+(12*sqrt(5)))).

How to calculate Edge Length of Truncated Icosidodecahedron given Midsphere Radius?

With Midsphere Radius of Truncated Icosidodecahedron (r_m) we can find Edge Length of Truncated Icosidodecahedron given Midsphere Radius using the formula - Edge Length of Truncated Icosidodecahedron = (2*Midsphere Radius of Truncated Icosidodecahedron)/(sqrt(30+(12*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 Midsphere Radius be negative?

No, the Edge Length of Truncated Icosidodecahedron given Midsphere Radius, measured in Length cannot be negative.

Which unit is used to measure Edge Length of Truncated Icosidodecahedron given Midsphere Radius?

Edge Length of Truncated Icosidodecahedron given Midsphere Radius 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 Midsphere Radius can be measured.

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