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Total Surface Area of Great Stellated Dodecahedron given Volume Formula

GoTotal Surface Area of Great Stellated Dodecahedron Formula

GoTotal Surface Area of Great Stellated Dodecahedron given Ridge Length Formula

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

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

TSA - Total Surface Area of Great Stellated Dodecahedron?V - Volume of Great Stellated Dodecahedron?

Total Surface Area of Great Stellated Dodecahedron given Volume Example

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

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

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

4618.8362 = 15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot 6550}{5 \cdot (3 + \sqrt{5})})}^{\frac{2}{3}}

4618.8362m² = 15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot 6550m³}{5 \cdot (3 + \sqrt{5})})}^{\frac{2}{3}}

4618.8362 = 15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot 6550}{5 \cdot (3 + \sqrt{5})})}^{\frac{2}{3}}

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Total Surface Area of Great Stellated Dodecahedron given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = 15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot 6550m³}{5 \cdot (3 + \sqrt{5})})}^{\frac{2}{3}}

Next Step Prepare to Evaluate

∴

TSA = 15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot 6550}{5 \cdot (3 + \sqrt{5})})}^{\frac{2}{3}}

Next Step Evaluate

∴

TSA = 4618.83620143285m²

LAST Step Rounding Answer

∴

TSA = 4618.8362m²

Total Surface Area of Great Stellated Dodecahedron given Volume Formula Elements

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Total Surface Area of Great Stellated Dodecahedron

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Great Stellated Dodecahedron

Volume of Great Stellated Dodecahedron

Volume of Great Stellated Dodecahedron is the total quantity of three-dimensional space enclosed by the surface of the Great Stellated Dodecahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Great Stellated 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 Stellated Dodecahedron

Go Total Surface Area of Great Stellated Dodecahedron

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

Go Total Surface Area of Great Stellated Dodecahedron given Ridge Length

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

Go Total Surface Area of Great Stellated Dodecahedron given Pentagram Chord

TSA = 15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {(\frac{l c(Pentagram)}{2 + \sqrt{5}})}^{2}

Go Total Surface Area of Great Stellated Dodecahedron given Circumradius

TSA = 15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot r c}{\sqrt{3} \cdot (3 + \sqrt{5})})}^{2}

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

Total Surface Area of Great Stellated Dodecahedron given Volume evaluator uses Total Surface Area of Great Stellated Dodecahedron = 15*sqrt(5+(2*sqrt(5)))*((4*Volume of Great Stellated Dodecahedron)/(5*(3+sqrt(5))))^(2/3) to evaluate the Total Surface Area of Great Stellated Dodecahedron, Total Surface Area of Great Stellated Dodecahedron given Volume formula is defined as the total quantity of plane enclosed by the entire surface of the Great Stellated Dodecahedron, calculated using its volume. Total Surface Area of Great Stellated Dodecahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Great Stellated Dodecahedron given Volume

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

The formula of Total Surface Area of Great Stellated Dodecahedron given Volume is expressed as Total Surface Area of Great Stellated Dodecahedron = 15*sqrt(5+(2*sqrt(5)))*((4*Volume of Great Stellated Dodecahedron)/(5*(3+sqrt(5))))^(2/3). Here is an example- 4618.836 = 15*sqrt(5+(2*sqrt(5)))*((4*6550)/(5*(3+sqrt(5))))^(2/3).

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

With Volume of Great Stellated Dodecahedron (V) we can find Total Surface Area of Great Stellated Dodecahedron given Volume using the formula - Total Surface Area of Great Stellated Dodecahedron = 15*sqrt(5+(2*sqrt(5)))*((4*Volume of Great Stellated Dodecahedron)/(5*(3+sqrt(5))))^(2/3). This formula also uses Square Root (sqrt) function(s).

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

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

Total Surface Area of Great Stellated Dodecahedron=15*sqrt(5+(2*sqrt(5)))*Edge Length of Great Stellated Dodecahedron^2
Total Surface Area of Great Stellated Dodecahedron=15*sqrt(5+(2*sqrt(5)))*((2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5)))^2
Total Surface Area of Great Stellated Dodecahedron=15*sqrt(5+(2*sqrt(5)))*(Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5)))^2

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

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

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

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

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