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Total Surface Area of Great Stellated Dodecahedron given Surface to Volume Ratio 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{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (3 + \sqrt{5}) \cdot AV})}^{2}

TSA - Total Surface Area of Great Stellated Dodecahedron?AV - SA:V of Great Stellated Dodecahedron?

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

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

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

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

4687.2596 = 15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {(\frac{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (3 + \sqrt{5}) \cdot 0.7})}^{2}

4687.2596m² = 15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {(\frac{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (3 + \sqrt{5}) \cdot 0.7m⁻¹})}^{2}

4687.2596 = 15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {(\frac{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (3 + \sqrt{5}) \cdot 0.7})}^{2}

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

Follow our step by step solution on how to calculate Total Surface Area of Great Stellated 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 (3 + \sqrt{5}) \cdot AV})}^{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 (3 + \sqrt{5}) \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 (3 + \sqrt{5}) \cdot 0.7})}^{2}

Next Step Evaluate

∴

TSA = 4687.25955622553m²

LAST Step Rounding Answer

∴

TSA = 4687.2596m²

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

Variables

Functions

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

SA:V of Great Stellated Dodecahedron

SA:V of Great Stellated Dodecahedron is the numerical ratio of the total surface area of a Great Stellated Dodecahedron to the volume of the Great Stellated Dodecahedron.

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V 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 Surface to Volume Ratio?

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

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

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

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

The formula of Total Surface Area of Great Stellated Dodecahedron given Surface to Volume Ratio is expressed as Total Surface Area of Great Stellated Dodecahedron = 15*sqrt(5+(2*sqrt(5)))*((15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5))*SA:V of Great Stellated Dodecahedron))^2. Here is an example- 4687.26 = 15*sqrt(5+(2*sqrt(5)))*((15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5))*0.7))^2.

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

With SA:V of Great Stellated Dodecahedron (AV) we can find Total Surface Area of Great Stellated Dodecahedron given Surface to Volume Ratio using the formula - Total Surface Area of Great Stellated Dodecahedron = 15*sqrt(5+(2*sqrt(5)))*((15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5))*SA:V of Great Stellated Dodecahedron))^2. 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 Surface to Volume Ratio be negative?

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

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

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

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