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Total Surface Area of Snub Dodecahedron Formula

GoTotal Surface Area of Snub Dodecahedron given Midsphere Radius Formula

GoTotal Surface Area of Snub Dodecahedron given Volume Formula

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

TSA = ((20 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {l e}^{2}

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

Total Surface Area of Snub Dodecahedron Example

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

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

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

5528.6745 = ((20 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot 10^{2}

5528.6745m² = ((20 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {10m}^{2}

5528.6745 = ((20 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot 10^{2}

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Total Surface Area of Snub Dodecahedron Solution

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

FIRST Step Consider the formula

TSA = ((20 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {l e}^{2}

Next Step Substitute values of Variables

∴

TSA = ((20 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {10m}^{2}

Next Step Prepare to Evaluate

∴

TSA = ((20 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot 10^{2}

Next Step Evaluate

∴

TSA = 5528.67449584451m²

LAST Step Rounding Answer

∴

TSA = 5528.6745m²

Total Surface Area of Snub Dodecahedron Formula Elements

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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

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

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 Total Surface Area of Snub Dodecahedron

Go Total Surface Area of Snub Dodecahedron given Midsphere Radius

TSA = ((20 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{2 \cdot r m}{\sqrt{\frac{1}{1 - 0.94315125924}}})}^{2}

Go Total Surface Area of Snub Dodecahedron given Volume

TSA = ((20 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\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{2}{3}}

Other formulas in Total Surface Area of Snub Dodecahedron category

Go Circumsphere Radius of Snub Dodecahedron

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

Go Midsphere Radius of Snub Dodecahedron

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

Go Surface to Volume Ratio of Snub Dodecahedron

R A/V = \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}}}{l e \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))}

Go Edge Length of Snub Dodecahedron given Circumsphere Radius

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

How to Evaluate Total Surface Area of Snub Dodecahedron?

Total Surface Area of Snub Dodecahedron evaluator uses Total Surface Area of Snub Dodecahedron = ((20*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*Edge Length of Snub Dodecahedron^2 to evaluate the Total Surface Area of Snub Dodecahedron, Total Surface Area of Snub Dodecahedron formula is defined as the total quantity of plane enclosed by the entire surface of the Snub Dodecahedron. Total Surface Area of Snub Dodecahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Snub Dodecahedron

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

The formula of Total Surface Area of Snub Dodecahedron is expressed as Total Surface Area of Snub Dodecahedron = ((20*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*Edge Length of Snub Dodecahedron^2. Here is an example- 5528.674 = ((20*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*10^2.

How to calculate Total Surface Area of Snub Dodecahedron?

With Edge Length of Snub Dodecahedron (l_e) we can find Total Surface Area of Snub Dodecahedron using the formula - Total Surface Area of Snub Dodecahedron = ((20*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*Edge Length of Snub Dodecahedron^2. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Total Surface Area of Snub Dodecahedron?

Here are the different ways to Calculate Total Surface Area of Snub Dodecahedron-

Total Surface Area of Snub Dodecahedron=((20*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((2*Midsphere Radius of Snub Dodecahedron)/sqrt(1/(1-0.94315125924)))^2
Total Surface Area of Snub Dodecahedron=((20*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((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)))^(2/3)

Can the Total Surface Area of Snub Dodecahedron be negative?

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

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

Total Surface Area of Snub Dodecahedron is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Total Surface Area of Snub Dodecahedron can be measured.

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