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

GoTotal Surface Area of Great Dodecahedron Formula

GoTotal Surface Area of Great Dodecahedron given Ridge Length Formula

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

TSA = 15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})} \cdot {(\frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1) \cdot R A/V})}^{2}

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

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

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

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

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

1106.5119 = 15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})} \cdot {(\frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1) \cdot 0.7})}^{2}

1106.5119m² = 15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})} \cdot {(\frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1) \cdot 0.7m⁻¹})}^{2}

1106.5119 = 15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})} \cdot {(\frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1) \cdot 0.7})}^{2}

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

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

FIRST Step Consider the formula

TSA = 15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})} \cdot {(\frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1) \cdot R A/V})}^{2}

Next Step Substitute values of Variables

∴

TSA = 15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})} \cdot {(\frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1) \cdot 0.7m⁻¹})}^{2}

Next Step Prepare to Evaluate

∴

TSA = 15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})} \cdot {(\frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1) \cdot 0.7})}^{2}

Next Step Evaluate

∴

TSA = 1106.51188345472m²

LAST Step Rounding Answer

∴

TSA = 1106.5119m²

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

Variables

Functions

Total Surface Area of Great Dodecahedron

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Great Dodecahedron

Surface to Volume Ratio of Great Dodecahedron

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

Go Total Surface Area of Great Dodecahedron

TSA = 15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})} \cdot {l e}^{2}

Go Total Surface Area of Great Dodecahedron given Ridge Length

TSA = 15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})} \cdot {(\frac{2 \cdot l Ridge}{\sqrt{5} - 1})}^{2}

Go Total Surface Area of Great Dodecahedron given Circumsphere Radius

TSA = 15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot r c}{\sqrt{10 + (2 \cdot \sqrt{5})}})}^{2}

Go Total Surface Area of Great Dodecahedron given Pyramidal Height

TSA = 15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})} \cdot {(\frac{6 \cdot h Pyramid}{\sqrt{3} \cdot (3 - \sqrt{5})})}^{2}

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

Total Surface Area of Great Dodecahedron given Surface to Volume Ratio evaluator uses Total Surface Area of Great Dodecahedron = 15*sqrt(5-(2*sqrt(5)))*((15*sqrt(5-(2*sqrt(5))))/(5/4*(sqrt(5)-1)*Surface to Volume Ratio of Great Dodecahedron))^2 to evaluate the Total Surface Area of Great Dodecahedron, Total Surface Area of Great Dodecahedron given Surface to Volume Ratio formula is defined as the total quantity of plane enclosed on the entire surface of the Great Dodecahedron, calculated using its surface to volume ratio. Total Surface Area of Great Dodecahedron is denoted by TSA symbol.

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

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

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

The formula of Total Surface Area of Great Dodecahedron given Surface to Volume Ratio is expressed as Total Surface Area of Great Dodecahedron = 15*sqrt(5-(2*sqrt(5)))*((15*sqrt(5-(2*sqrt(5))))/(5/4*(sqrt(5)-1)*Surface to Volume Ratio of Great Dodecahedron))^2. Here is an example- 1106.512 = 15*sqrt(5-(2*sqrt(5)))*((15*sqrt(5-(2*sqrt(5))))/(5/4*(sqrt(5)-1)*0.7))^2.

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

With Surface to Volume Ratio of Great Dodecahedron (R_A/V) we can find Total Surface Area of Great Dodecahedron given Surface to Volume Ratio using the formula - Total Surface Area of Great Dodecahedron = 15*sqrt(5-(2*sqrt(5)))*((15*sqrt(5-(2*sqrt(5))))/(5/4*(sqrt(5)-1)*Surface to Volume Ratio of Great Dodecahedron))^2. This formula also uses Square Root (sqrt) function(s).

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

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

Total Surface Area of Great Dodecahedron=15*sqrt(5-(2*sqrt(5)))*Edge Length of Great Dodecahedron^2
Total Surface Area of Great Dodecahedron=15*sqrt(5-(2*sqrt(5)))*((2*Ridge Length of Great Dodecahedron)/(sqrt(5)-1))^2
Total Surface Area of Great Dodecahedron=15*sqrt(5-(2*sqrt(5)))*((4*Circumsphere Radius of Great Dodecahedron)/sqrt(10+(2*sqrt(5))))^2

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

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

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

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

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