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Total Surface Area of Pentakis Dodecahedron given Volume Formula

GoTotal Surface Area of Pentakis Dodecahedron Formula

GoTotal Surface Area of Pentakis Dodecahedron given Leg Length 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{76 \cdot V}{15 \cdot (23 + (11 \cdot \sqrt{5}))})}^{\frac{2}{3}})

TSA - Total Surface Area of Pentakis Dodecahedron?V - Volume of Pentakis Dodecahedron?

Total Surface Area of Pentakis Dodecahedron given Volume Example

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

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

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

2199.0673 = (\frac{15}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})}) \cdot ({(\frac{76 \cdot 9400}{15 \cdot (23 + (11 \cdot \sqrt{5}))})}^{\frac{2}{3}})

2199.0673m² = (\frac{15}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})}) \cdot ({(\frac{76 \cdot 9400m³}{15 \cdot (23 + (11 \cdot \sqrt{5}))})}^{\frac{2}{3}})

2199.0673 = (\frac{15}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})}) \cdot ({(\frac{76 \cdot 9400}{15 \cdot (23 + (11 \cdot \sqrt{5}))})}^{\frac{2}{3}})

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Total Surface Area of Pentakis Dodecahedron given Volume Solution

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

FIRST Step Consider the formula

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}})

Next Step Substitute values of Variables

∴

TSA = (\frac{15}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})}) \cdot ({(\frac{76 \cdot 9400m³}{15 \cdot (23 + (11 \cdot \sqrt{5}))})}^{\frac{2}{3}})

Next Step Prepare to Evaluate

∴

TSA = (\frac{15}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})}) \cdot ({(\frac{76 \cdot 9400}{15 \cdot (23 + (11 \cdot \sqrt{5}))})}^{\frac{2}{3}})

Next Step Evaluate

∴

TSA = 2199.06733226522m²

LAST Step Rounding Answer

∴

TSA = 2199.0673m²

Total Surface Area of Pentakis Dodecahedron given Volume 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

Volume of Pentakis Dodecahedron

Volume of Pentakis Dodecahedron is the quantity of three dimensional space enclosed by the entire surface of Pentakis Dodecahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Leg Length

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

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 Volume?

Total Surface Area of Pentakis Dodecahedron given Volume evaluator uses 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)) to evaluate the Total Surface Area of Pentakis Dodecahedron, Total Surface Area of Pentakis Dodecahedron given Volume formula is defined as the amount or quantity of two-dimensional space covered on the surface of the Pentakis Dodecahedron, calculated using volume of Pentakis Dodecahedron. Total Surface Area of Pentakis Dodecahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Pentakis Dodecahedron given Volume

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

The formula of Total Surface Area of Pentakis Dodecahedron given Volume is expressed as 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)). Here is an example- 2199.067 = (15/19)*(sqrt(413+(162*sqrt(5))))*(((76*9400)/(15*(23+(11*sqrt(5)))))^(2/3)).

How to calculate Total Surface Area of Pentakis Dodecahedron given Volume?

With Volume of Pentakis Dodecahedron (V) we can find Total Surface Area of Pentakis Dodecahedron given Volume using the formula - 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)). 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))))*(((38*Leg Length of Pentakis Dodecahedron)/(3*(9+sqrt(5))))^2)
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 Volume be negative?

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

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

Total Surface Area of Pentakis Dodecahedron given Volume 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 Volume can be measured.

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