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Edge Length of Snub Dodecahedron given Total Surface Area Formula

GoEdge Length of Snub Dodecahedron given Volume Formula

GoEdge Length of Snub Dodecahedron given Circumsphere Radius Formula

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Edge Length of Snub Dodecahedron is the length of any edge of the Snub Dodecahedron. Check FAQs

l e = \sqrt{\frac{TSA}{(20 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

l_e - Edge Length of Snub Dodecahedron?TSA - Total Surface Area of Snub Dodecahedron?

Edge Length of Snub Dodecahedron given Total Surface Area Example

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Here is how the Edge Length of Snub Dodecahedron given Total Surface Area equation looks like with Values.

Here is how the Edge Length of Snub Dodecahedron given Total Surface Area equation looks like with Units.

Here is how the Edge Length of Snub Dodecahedron given Total Surface Area equation looks like.

9.974 = \sqrt{\frac{5500}{(20 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

9.974m = \sqrt{\frac{5500m²}{(20 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

9.974 = \sqrt{\frac{5500}{(20 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

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Edge Length of Snub Dodecahedron given Total Surface Area Solution

Follow our step by step solution on how to calculate Edge Length of Snub Dodecahedron given Total Surface Area?

FIRST Step Consider the formula

l e = \sqrt{\frac{TSA}{(20 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

Next Step Substitute values of Variables

∴

l e = \sqrt{\frac{5500m²}{(20 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

Next Step Prepare to Evaluate

∴

l e = \sqrt{\frac{5500}{(20 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

Next Step Evaluate

∴

l e = 9.97403376460444m

LAST Step Rounding Answer

∴

l e = 9.974m

Edge Length of Snub Dodecahedron given Total Surface Area Formula Elements

Variables

Functions

Edge Length of Snub Dodecahedron

Edge Length of Snub Dodecahedron is the length of any edge of the Snub Dodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Snub Dodecahedron

Total Surface Area of Snub Dodecahedron

Total Surface Area of Snub Dodecahedron is the total quantity of plane enclosed by the entire surface of the Snub Dodecahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Snub Dodecahedron

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 Snub Dodecahedron

Go Edge Length of Snub Dodecahedron given Volume

l e = {(\frac{V \cdot 6 \cdot {(3 - {({(\frac{[phi]}{2} + \frac{\sqrt{[phi] - \frac{5}{27}}}{2})}^{\frac{1}{3}} + {(\frac{[phi]}{2} - \frac{\sqrt{[phi] - \frac{5}{27}}}{2})}^{\frac{1}{3}})}^{2})}^{\frac{3}{2}}}{((12 \cdot ((3 \cdot [phi]) + 1)) \cdot ({({(\frac{[phi]}{2} + \frac{\sqrt{[phi] - \frac{5}{27}}}{2})}^{\frac{1}{3}} + {(\frac{[phi]}{2} - \frac{\sqrt{[phi] - \frac{5}{27}}}{2})}^{\frac{1}{3}})}^{2}) - (((36 \cdot [phi]) + 7) \cdot ({(\frac{[phi]}{2} + \frac{\sqrt{[phi] - \frac{5}{27}}}{2})}^{\frac{1}{3}} + {(\frac{[phi]}{2} - \frac{\sqrt{[phi] - \frac{5}{27}}}{2})}^{\frac{1}{3}}))) - ((53 \cdot [phi]) + 6)})}^{\frac{1}{3}}

Go Edge Length of Snub Dodecahedron given Circumsphere Radius

l e = \frac{2 \cdot r c}{\sqrt{\frac{2 - 0.94315125924}{1 - 0.94315125924}}}

Go Edge Length of Snub Dodecahedron given Midsphere Radius

l e = \frac{2 \cdot r m}{\sqrt{\frac{1}{1 - 0.94315125924}}}

Go Edge Length of Snub Dodecahedron given Surface to Volume Ratio

l e = \frac{((20 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot 6 \cdot {(3 - {({(\frac{[phi]}{2} + \frac{\sqrt{[phi] - \frac{5}{27}}}{2})}^{\frac{1}{3}} + {(\frac{[phi]}{2} - \frac{\sqrt{[phi] - \frac{5}{27}}}{2})}^{\frac{1}{3}})}^{2})}^{\frac{3}{2}}}{R A/V \cdot (((12 \cdot ((3 \cdot [phi]) + 1)) \cdot ({({(\frac{[phi]}{2} + \frac{\sqrt{[phi] - \frac{5}{27}}}{2})}^{\frac{1}{3}} + {(\frac{[phi]}{2} - \frac{\sqrt{[phi] - \frac{5}{27}}}{2})}^{\frac{1}{3}})}^{2}) - (((36 \cdot [phi]) + 7) \cdot ({(\frac{[phi]}{2} + \frac{\sqrt{[phi] - \frac{5}{27}}}{2})}^{\frac{1}{3}} + {(\frac{[phi]}{2} - \frac{\sqrt{[phi] - \frac{5}{27}}}{2})}^{\frac{1}{3}}))) - ((53 \cdot [phi]) + 6))}

How to Evaluate Edge Length of Snub Dodecahedron given Total Surface Area?

Edge Length of Snub Dodecahedron given Total Surface Area evaluator uses Edge Length of Snub Dodecahedron = sqrt(Total Surface Area of Snub Dodecahedron/((20*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))) to evaluate the Edge Length of Snub Dodecahedron, Edge Length of Snub Dodecahedron given Total Surface Area formula is defined as the length of any edge of the Snub Dodecahedron, and calculated using the total surface area of the Snub Dodecahedron. Edge Length of Snub Dodecahedron is denoted by l_e symbol.

How to evaluate Edge Length of Snub Dodecahedron given Total Surface Area using this online evaluator? To use this online evaluator for Edge Length of Snub Dodecahedron given Total Surface Area, enter Total Surface Area of Snub Dodecahedron (TSA) and hit the calculate button.

FAQs on Edge Length of Snub Dodecahedron given Total Surface Area

What is the formula to find Edge Length of Snub Dodecahedron given Total Surface Area?

The formula of Edge Length of Snub Dodecahedron given Total Surface Area is expressed as Edge Length of Snub Dodecahedron = sqrt(Total Surface Area of Snub Dodecahedron/((20*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))). Here is an example- 9.974034 = sqrt(5500/((20*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))).

How to calculate Edge Length of Snub Dodecahedron given Total Surface Area?

With Total Surface Area of Snub Dodecahedron (TSA) we can find Edge Length of Snub Dodecahedron given Total Surface Area using the formula - Edge Length of Snub Dodecahedron = sqrt(Total Surface Area of Snub Dodecahedron/((20*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Edge Length of Snub Dodecahedron?

Here are the different ways to Calculate Edge Length of Snub Dodecahedron-

Edge Length of Snub Dodecahedron=((Volume of Snub Dodecahedron*6*(3-(([phi]/2+sqrt([phi]-5/27)/2)^(1/3)+([phi]/2-sqrt([phi]-5/27)/2)^(1/3))^2)^(3/2))/(((12*((3*[phi])+1))*((([phi]/2+sqrt([phi]-5/27)/2)^(1/3)+([phi]/2-sqrt([phi]-5/27)/2)^(1/3))^2)-(((36*[phi])+7)*(([phi]/2+sqrt([phi]-5/27)/2)^(1/3)+([phi]/2-sqrt([phi]-5/27)/2)^(1/3))))-((53*[phi])+6)))^(1/3)
Edge Length of Snub Dodecahedron=(2*Circumsphere Radius of Snub Dodecahedron)/sqrt((2-0.94315125924)/(1-0.94315125924))
Edge Length of Snub Dodecahedron=(2*Midsphere Radius of Snub Dodecahedron)/sqrt(1/(1-0.94315125924))

Can the Edge Length of Snub Dodecahedron given Total Surface Area be negative?

No, the Edge Length of Snub Dodecahedron given Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Edge Length of Snub Dodecahedron given Total Surface Area?

Edge Length of Snub Dodecahedron given Total Surface Area 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 Snub Dodecahedron given Total Surface Area can be measured.

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