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Total Surface Area of Pentakis Dodecahedron given Leg Length Formula

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GoTotal Surface Area of Pentakis Dodecahedron given Volume Formula

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Total Surface Area of Pentakis Dodecahedron is the amount or quantity of two dimensional space covered on the surface of Pentakis Dodecahedron. Check FAQs

TSA = (\frac{15}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})}) \cdot ({(\frac{38 \cdot l Leg}{3 \cdot (9 + \sqrt{5})})}^{2})

TSA - Total Surface Area of Pentakis Dodecahedron?l_Leg - Leg Length of Pentakis Dodecahedron?

Total Surface Area of Pentakis Dodecahedron given Leg Length Example

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

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

Here is how the Total Surface Area of Pentakis Dodecahedron given Leg Length equation looks like.

2262.7552 = (\frac{15}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})}) \cdot ({(\frac{38 \cdot 9}{3 \cdot (9 + \sqrt{5})})}^{2})

2262.7552m² = (\frac{15}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})}) \cdot ({(\frac{38 \cdot 9m}{3 \cdot (9 + \sqrt{5})})}^{2})

2262.7552 = (\frac{15}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})}) \cdot ({(\frac{38 \cdot 9}{3 \cdot (9 + \sqrt{5})})}^{2})

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Total Surface Area of Pentakis Dodecahedron given Leg Length Solution

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

FIRST Step Consider the formula

TSA = (\frac{15}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})}) \cdot ({(\frac{38 \cdot l Leg}{3 \cdot (9 + \sqrt{5})})}^{2})

Next Step Substitute values of Variables

∴

TSA = (\frac{15}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})}) \cdot ({(\frac{38 \cdot 9m}{3 \cdot (9 + \sqrt{5})})}^{2})

Next Step Prepare to Evaluate

∴

TSA = (\frac{15}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})}) \cdot ({(\frac{38 \cdot 9}{3 \cdot (9 + \sqrt{5})})}^{2})

Next Step Evaluate

∴

TSA = 2262.75521765676m²

LAST Step Rounding Answer

∴

TSA = 2262.7552m²

Total Surface Area of Pentakis Dodecahedron given Leg Length Formula Elements

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Total Surface Area of Pentakis Dodecahedron

Total Surface Area of Pentakis Dodecahedron is the amount or quantity of two dimensional space covered on the surface of Pentakis Dodecahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Pentakis Dodecahedron

Leg Length of Pentakis Dodecahedron

Leg Length of Pentakis Dodecahedron is the length of the equal sides of the isosceles triangular face of Pentakis Dodecahedron.

Symbol: l_Leg

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Leg Length of Pentakis 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 Pentakis Dodecahedron

Go Total Surface Area of Pentakis Dodecahedron

TSA = (\frac{15}{19}) \cdot ({l Base}^{2}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})

Go Total Surface Area of Pentakis Dodecahedron given Volume

TSA = (\frac{15}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})}) \cdot ({(\frac{76 \cdot V}{15 \cdot (23 + (11 \cdot \sqrt{5}))})}^{\frac{2}{3}})

Go Total Surface Area of Pentakis Dodecahedron given Midsphere Radius

TSA = (\frac{15}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})}) \cdot ({(\frac{4 \cdot r m}{3 + \sqrt{5}})}^{2})

Go Total Surface Area of Pentakis Dodecahedron given Insphere Radius

TSA = (\frac{15}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})}) \cdot ({(\frac{2 \cdot r i}{3 \cdot (\sqrt{\frac{81 + (35 \cdot \sqrt{5})}{218}})})}^{2})

How to Evaluate Total Surface Area of Pentakis Dodecahedron given Leg Length?

Total Surface Area of Pentakis Dodecahedron given Leg Length evaluator uses Total Surface Area of Pentakis Dodecahedron = (15/19)*(sqrt(413+(162*sqrt(5))))*(((38*Leg Length of Pentakis Dodecahedron)/(3*(9+sqrt(5))))^2) to evaluate the Total Surface Area of Pentakis Dodecahedron, Total Surface Area of Pentakis Dodecahedron given Leg Length formula is defined as the amount or quantity of two-dimensional space covered on the surface of the Pentakis Dodecahedron, calculated using leg length of Pentakis Dodecahedron. Total Surface Area of Pentakis Dodecahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Pentakis Dodecahedron given Leg Length

What is the formula to find Total Surface Area of Pentakis Dodecahedron given Leg Length?

The formula of Total Surface Area of Pentakis Dodecahedron given Leg Length is expressed as Total Surface Area of Pentakis Dodecahedron = (15/19)*(sqrt(413+(162*sqrt(5))))*(((38*Leg Length of Pentakis Dodecahedron)/(3*(9+sqrt(5))))^2). Here is an example- 2262.755 = (15/19)*(sqrt(413+(162*sqrt(5))))*(((38*9)/(3*(9+sqrt(5))))^2).

How to calculate Total Surface Area of Pentakis Dodecahedron given Leg Length?

With Leg Length of Pentakis Dodecahedron (l_Leg) we can find Total Surface Area of Pentakis Dodecahedron given Leg Length using the formula - Total Surface Area of Pentakis Dodecahedron = (15/19)*(sqrt(413+(162*sqrt(5))))*(((38*Leg Length of Pentakis Dodecahedron)/(3*(9+sqrt(5))))^2). This formula also uses Square Root (sqrt) function(s).

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

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

Total Surface Area of Pentakis Dodecahedron=(15/19)*(Base Length of Pentakis Dodecahedron^2)*(sqrt(413+(162*sqrt(5))))
Total Surface Area of Pentakis Dodecahedron=(15/19)*(sqrt(413+(162*sqrt(5))))*(((76*Volume of Pentakis Dodecahedron)/(15*(23+(11*sqrt(5)))))^(2/3))
Total Surface Area of Pentakis Dodecahedron=(15/19)*(sqrt(413+(162*sqrt(5))))*(((4*Midsphere Radius of Pentakis Dodecahedron)/(3+sqrt(5)))^2)

Can the Total Surface Area of Pentakis Dodecahedron given Leg Length be negative?

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

Which unit is used to measure Total Surface Area of Pentakis Dodecahedron given Leg Length?

Total Surface Area of Pentakis Dodecahedron given Leg Length 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 Pentakis Dodecahedron given Leg Length can be measured.

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