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Total Surface Area of Pentakis Dodecahedron given Surface to Volume Ratio 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{\frac{76}{19}}{R A/V})}^{2}) \cdot (\frac{413 + (162 \cdot \sqrt{5})}{{((23 + (11 \cdot \sqrt{5})))}^{2}})

TSA - Total Surface Area of Pentakis Dodecahedron?R_A/V - Surface to Volume Ratio of Pentakis Dodecahedron?

Total Surface Area of Pentakis Dodecahedron given Surface to Volume Ratio Example

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

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

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

3008.8455 = (\frac{15}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})}) \cdot ({(\frac{\frac{76}{19}}{0.2})}^{2}) \cdot (\frac{413 + (162 \cdot \sqrt{5})}{{((23 + (11 \cdot \sqrt{5})))}^{2}})

3008.8455m² = (\frac{15}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})}) \cdot ({(\frac{\frac{76}{19}}{0.2m⁻¹})}^{2}) \cdot (\frac{413 + (162 \cdot \sqrt{5})}{{((23 + (11 \cdot \sqrt{5})))}^{2}})

3008.8455 = (\frac{15}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})}) \cdot ({(\frac{\frac{76}{19}}{0.2})}^{2}) \cdot (\frac{413 + (162 \cdot \sqrt{5})}{{((23 + (11 \cdot \sqrt{5})))}^{2}})

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Total Surface Area of Pentakis Dodecahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = (\frac{15}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})}) \cdot ({(\frac{\frac{76}{19}}{0.2m⁻¹})}^{2}) \cdot (\frac{413 + (162 \cdot \sqrt{5})}{{((23 + (11 \cdot \sqrt{5})))}^{2}})

Next Step Prepare to Evaluate

∴

TSA = (\frac{15}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})}) \cdot ({(\frac{\frac{76}{19}}{0.2})}^{2}) \cdot (\frac{413 + (162 \cdot \sqrt{5})}{{((23 + (11 \cdot \sqrt{5})))}^{2}})

Next Step Evaluate

∴

TSA = 3008.84546310995m²

LAST Step Rounding Answer

∴

TSA = 3008.8455m²

Total Surface Area of Pentakis Dodecahedron given Surface to Volume Ratio 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

Surface to Volume Ratio of Pentakis Dodecahedron

Surface to Volume Ratio of Pentakis Dodecahedron is what part of or fraction of total volume of Pentakis Dodecahedron is the total surface area.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio 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 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})

How to Evaluate Total Surface Area of Pentakis Dodecahedron given Surface to Volume Ratio?

Total Surface Area of Pentakis Dodecahedron given Surface to Volume Ratio evaluator uses Total Surface Area of Pentakis Dodecahedron = (15/19)*(sqrt(413+(162*sqrt(5))))*(((76/19)/(Surface to Volume Ratio of Pentakis Dodecahedron))^2)*((413+(162*sqrt(5)))/((23+(11*sqrt(5))))^2) to evaluate the Total Surface Area of Pentakis Dodecahedron, Total Surface Area of Pentakis Dodecahedron given Surface to Volume Ratio formula is defined as the amount or quantity of two-dimensional space covered on the surface of the Pentakis Dodecahedron, calculated using surface to volume ratio of Pentakis Dodecahedron. Total Surface Area of Pentakis Dodecahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Pentakis Dodecahedron given Surface to Volume Ratio

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

The formula of Total Surface Area of Pentakis Dodecahedron given Surface to Volume Ratio is expressed as Total Surface Area of Pentakis Dodecahedron = (15/19)*(sqrt(413+(162*sqrt(5))))*(((76/19)/(Surface to Volume Ratio of Pentakis Dodecahedron))^2)*((413+(162*sqrt(5)))/((23+(11*sqrt(5))))^2). Here is an example- 3008.845 = (15/19)*(sqrt(413+(162*sqrt(5))))*(((76/19)/(0.2))^2)*((413+(162*sqrt(5)))/((23+(11*sqrt(5))))^2).

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

With Surface to Volume Ratio of Pentakis Dodecahedron (R_A/V) we can find Total Surface Area of Pentakis Dodecahedron given Surface to Volume Ratio using the formula - Total Surface Area of Pentakis Dodecahedron = (15/19)*(sqrt(413+(162*sqrt(5))))*(((76/19)/(Surface to Volume Ratio of Pentakis Dodecahedron))^2)*((413+(162*sqrt(5)))/((23+(11*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))))*(((38*Leg Length of Pentakis Dodecahedron)/(3*(9+sqrt(5))))^2)
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))

Can the Total Surface Area of Pentakis Dodecahedron given Surface to Volume Ratio be negative?

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

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

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

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