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Total Surface Area of Dodecahedron given Surface to Volume Ratio Formula

GoTotal Surface Area of Dodecahedron Formula

GoTotal Surface Area of Dodecahedron given Volume Formula

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

TSA = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{12 \cdot (\sqrt{25 + (10 \cdot \sqrt{5})})}{R A/V \cdot (15 + (7 \cdot \sqrt{5}))})}^{2}

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

Total Surface Area of Dodecahedron given Surface to Volume Ratio Example

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

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

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

1665.0873 = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{12 \cdot (\sqrt{25 + (10 \cdot \sqrt{5})})}{0.3 \cdot (15 + (7 \cdot \sqrt{5}))})}^{2}

1665.0873m² = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{12 \cdot (\sqrt{25 + (10 \cdot \sqrt{5})})}{0.3m⁻¹ \cdot (15 + (7 \cdot \sqrt{5}))})}^{2}

1665.0873 = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{12 \cdot (\sqrt{25 + (10 \cdot \sqrt{5})})}{0.3 \cdot (15 + (7 \cdot \sqrt{5}))})}^{2}

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Total Surface Area of Dodecahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

TSA = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{12 \cdot (\sqrt{25 + (10 \cdot \sqrt{5})})}{R A/V \cdot (15 + (7 \cdot \sqrt{5}))})}^{2}

Next Step Substitute values of Variables

∴

TSA = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{12 \cdot (\sqrt{25 + (10 \cdot \sqrt{5})})}{0.3m⁻¹ \cdot (15 + (7 \cdot \sqrt{5}))})}^{2}

Next Step Prepare to Evaluate

∴

TSA = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{12 \cdot (\sqrt{25 + (10 \cdot \sqrt{5})})}{0.3 \cdot (15 + (7 \cdot \sqrt{5}))})}^{2}

Next Step Evaluate

∴

TSA = 1665.08730855465m²

LAST Step Rounding Answer

∴

TSA = 1665.0873m²

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

Variables

Functions

Total Surface Area of Dodecahedron

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Dodecahedron

Surface to Volume Ratio of Dodecahedron

The Surface to Volume Ratio of Dodecahedron is the numerical ratio of the total surface area to the volume of the 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 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 Dodecahedron

Go Total Surface Area of Dodecahedron

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

Go Total Surface Area of Dodecahedron given Volume

TSA = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot V}{15 + (7 \cdot \sqrt{5})})}^{\frac{2}{3}}

Go Total Surface Area of Dodecahedron given Face Diagonal

TSA = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{2 \cdot d Face}{1 + \sqrt{5}})}^{2}

Go Total Surface Area of Dodecahedron given Circumsphere Radius

TSA = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot r c}{\sqrt{3} \cdot (1 + \sqrt{5})})}^{2}

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

Total Surface Area of Dodecahedron given Surface to Volume Ratio evaluator uses Total Surface Area of Dodecahedron = 3*sqrt(25+(10*sqrt(5)))*((12*(sqrt(25+(10*sqrt(5)))))/(Surface to Volume Ratio of Dodecahedron*(15+(7*sqrt(5)))))^2 to evaluate the Total Surface Area of Dodecahedron, The Total Surface Area of Dodecahedron given Surface to Volume Ratio formula is defined as the total quantity of plane enclosed by the entire surface of the Dodecahedron, and calculated using surface to volume ratio of Dodecahedron. Total Surface Area of Dodecahedron is denoted by TSA symbol.

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

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

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

The formula of Total Surface Area of Dodecahedron given Surface to Volume Ratio is expressed as Total Surface Area of Dodecahedron = 3*sqrt(25+(10*sqrt(5)))*((12*(sqrt(25+(10*sqrt(5)))))/(Surface to Volume Ratio of Dodecahedron*(15+(7*sqrt(5)))))^2. Here is an example- 1665.087 = 3*sqrt(25+(10*sqrt(5)))*((12*(sqrt(25+(10*sqrt(5)))))/(0.3*(15+(7*sqrt(5)))))^2.

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

With Surface to Volume Ratio of Dodecahedron (R_A/V) we can find Total Surface Area of Dodecahedron given Surface to Volume Ratio using the formula - Total Surface Area of Dodecahedron = 3*sqrt(25+(10*sqrt(5)))*((12*(sqrt(25+(10*sqrt(5)))))/(Surface to Volume Ratio of Dodecahedron*(15+(7*sqrt(5)))))^2. This formula also uses Square Root (sqrt) function(s).

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

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

Total Surface Area of Dodecahedron=3*sqrt(25+(10*sqrt(5)))*Edge Length of Dodecahedron^2
Total Surface Area of Dodecahedron=3*sqrt(25+(10*sqrt(5)))*((4*Volume of Dodecahedron)/(15+(7*sqrt(5))))^(2/3)
Total Surface Area of Dodecahedron=3*sqrt(25+(10*sqrt(5)))*((2*Face Diagonal of Dodecahedron)/(1+sqrt(5)))^2

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

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

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

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

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