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Total Surface Area of Truncated Dodecahedron given Surface to Volume Ratio Formula

GoTotal Surface Area of Truncated Dodecahedron Formula

GoTotal Surface Area of Truncated Dodecahedron given Dodecahedral Edge Length Formula

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

TSA = 5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot {(\frac{12 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}{R A/V \cdot (99 + (47 \cdot \sqrt{5}))})}^{2}

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

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

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

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

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

14243.0122 = 5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot {(\frac{12 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}{0.1 \cdot (99 + (47 \cdot \sqrt{5}))})}^{2}

14243.0122m² = 5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot {(\frac{12 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}{0.1m⁻¹ \cdot (99 + (47 \cdot \sqrt{5}))})}^{2}

14243.0122 = 5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot {(\frac{12 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}{0.1 \cdot (99 + (47 \cdot \sqrt{5}))})}^{2}

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

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

FIRST Step Consider the formula

TSA = 5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot {(\frac{12 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}{R A/V \cdot (99 + (47 \cdot \sqrt{5}))})}^{2}

Next Step Substitute values of Variables

∴

TSA = 5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot {(\frac{12 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}{0.1m⁻¹ \cdot (99 + (47 \cdot \sqrt{5}))})}^{2}

Next Step Prepare to Evaluate

∴

TSA = 5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot {(\frac{12 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}{0.1 \cdot (99 + (47 \cdot \sqrt{5}))})}^{2}

Next Step Evaluate

∴

TSA = 14243.0122074108m²

LAST Step Rounding Answer

∴

TSA = 14243.0122m²

Total Surface Area of Truncated Dodecahedron given Surface to Volume Ratio Formula Elements

Variables

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Total Surface Area of Truncated Dodecahedron

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Truncated Dodecahedron

Surface to Volume Ratio of Truncated Dodecahedron

Surface to Volume Ratio of Truncated Dodecahedron is the numerical ratio of the total surface area of a Truncated Dodecahedron to the volume of the Truncated Dodecahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Truncated 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 Truncated Dodecahedron

Go Total Surface Area of Truncated Dodecahedron

TSA = 5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot {l e}^{2}

Go Total Surface Area of Truncated Dodecahedron given Dodecahedral Edge Length

TSA = (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot {l e(Dodecahedron)}^{2}

Go Total Surface Area of Truncated Dodecahedron given Volume

TSA = 5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot {(\frac{12 \cdot V}{5 \cdot (99 + (47 \cdot \sqrt{5}))})}^{\frac{2}{3}}

Go Total Surface Area of Truncated Dodecahedron given Circumsphere Radius

TSA = 5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot {(\frac{4 \cdot r c}{\sqrt{74 + (30 \cdot \sqrt{5})}})}^{2}

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

Total Surface Area of Truncated Dodecahedron given Surface to Volume Ratio evaluator uses Total Surface Area of Truncated Dodecahedron = 5*(sqrt(3)+(6*sqrt(5+(2*sqrt(5)))))*((12*(sqrt(3)+(6*sqrt(5+(2*sqrt(5))))))/(Surface to Volume Ratio of Truncated Dodecahedron*(99+(47*sqrt(5)))))^2 to evaluate the Total Surface Area of Truncated Dodecahedron, Total Surface Area of Truncated Dodecahedron given Surface to Volume Ratio formula is defined as the total quantity of plane enclosed by the entire surface of the Truncated Dodecahedron, and calculated using the surface to volume ratio of the Truncated Dodecahedron. Total Surface Area of Truncated Dodecahedron is denoted by TSA symbol.

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

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

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

The formula of Total Surface Area of Truncated Dodecahedron given Surface to Volume Ratio is expressed as Total Surface Area of Truncated Dodecahedron = 5*(sqrt(3)+(6*sqrt(5+(2*sqrt(5)))))*((12*(sqrt(3)+(6*sqrt(5+(2*sqrt(5))))))/(Surface to Volume Ratio of Truncated Dodecahedron*(99+(47*sqrt(5)))))^2. Here is an example- 14243.01 = 5*(sqrt(3)+(6*sqrt(5+(2*sqrt(5)))))*((12*(sqrt(3)+(6*sqrt(5+(2*sqrt(5))))))/(0.1*(99+(47*sqrt(5)))))^2.

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

With Surface to Volume Ratio of Truncated Dodecahedron (R_A/V) we can find Total Surface Area of Truncated Dodecahedron given Surface to Volume Ratio using the formula - Total Surface Area of Truncated Dodecahedron = 5*(sqrt(3)+(6*sqrt(5+(2*sqrt(5)))))*((12*(sqrt(3)+(6*sqrt(5+(2*sqrt(5))))))/(Surface to Volume Ratio of Truncated Dodecahedron*(99+(47*sqrt(5)))))^2. This formula also uses Square Root (sqrt) function(s).

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

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

Total Surface Area of Truncated Dodecahedron=5*(sqrt(3)+(6*sqrt(5+(2*sqrt(5)))))*Edge Length of Truncated Dodecahedron^2
Total Surface Area of Truncated Dodecahedron=(sqrt(3)+(6*sqrt(5+(2*sqrt(5)))))*Dodecahedral Edge Length of Truncated Dodecahedron^2
Total Surface Area of Truncated Dodecahedron=5*(sqrt(3)+(6*sqrt(5+(2*sqrt(5)))))*((12*Volume of Truncated Dodecahedron)/(5*(99+(47*sqrt(5)))))^(2/3)

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

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

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

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

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