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Total Surface Area of Dodecahedron given Volume Formula

GoTotal Surface Area of Dodecahedron Formula

GoTotal Surface Area of Dodecahedron given Face Perimeter 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{4 \cdot V}{15 + (7 \cdot \sqrt{5})})}^{\frac{2}{3}}

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

Total Surface Area of Dodecahedron given Volume Example

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

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

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

2071.1918 = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot 7700}{15 + (7 \cdot \sqrt{5})})}^{\frac{2}{3}}

2071.1918m² = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot 7700m³}{15 + (7 \cdot \sqrt{5})})}^{\frac{2}{3}}

2071.1918 = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot 7700}{15 + (7 \cdot \sqrt{5})})}^{\frac{2}{3}}

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Total Surface Area of Dodecahedron given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot 7700m³}{15 + (7 \cdot \sqrt{5})})}^{\frac{2}{3}}

Next Step Prepare to Evaluate

∴

TSA = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot 7700}{15 + (7 \cdot \sqrt{5})})}^{\frac{2}{3}}

Next Step Evaluate

∴

TSA = 2071.19182590782m²

LAST Step Rounding Answer

∴

TSA = 2071.1918m²

Total Surface Area of Dodecahedron given Volume 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

Volume of Dodecahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Face Perimeter

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

Other formulas in Total Surface Area of Dodecahedron category

Go Face Area of Dodecahedron

A Face = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {l e}^{2}

Go Face Area of Dodecahedron given Midsphere Radius

A Face = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot r m}{3 + \sqrt{5}})}^{2}

Go Lateral Surface Area of Dodecahedron

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

Go Lateral Surface Area of Dodecahedron given Total Surface Area

LSA = \frac{5}{6} \cdot TSA

How to Evaluate Total Surface Area of Dodecahedron given Volume?

Total Surface Area of Dodecahedron given Volume evaluator uses Total Surface Area of Dodecahedron = 3*sqrt(25+(10*sqrt(5)))*((4*Volume of Dodecahedron)/(15+(7*sqrt(5))))^(2/3) to evaluate the Total Surface Area of Dodecahedron, The Total Surface Area of Dodecahedron given Volume formula is defined as the total quantity of plane enclosed by the entire surface of the Dodecahedron, and calculated using volume of Dodecahedron. Total Surface Area of Dodecahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Dodecahedron given Volume

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

The formula of Total Surface Area of Dodecahedron given Volume is expressed as Total Surface Area of Dodecahedron = 3*sqrt(25+(10*sqrt(5)))*((4*Volume of Dodecahedron)/(15+(7*sqrt(5))))^(2/3). Here is an example- 2071.192 = 3*sqrt(25+(10*sqrt(5)))*((4*7700)/(15+(7*sqrt(5))))^(2/3).

How to calculate Total Surface Area of Dodecahedron given Volume?

With Volume of Dodecahedron (V) we can find Total Surface Area of Dodecahedron given Volume using the formula - Total Surface Area of Dodecahedron = 3*sqrt(25+(10*sqrt(5)))*((4*Volume of Dodecahedron)/(15+(7*sqrt(5))))^(2/3). 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=3/25*sqrt(25+(10*sqrt(5)))*Face Perimeter of Dodecahedron^2

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

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

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

Total Surface Area of 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 Dodecahedron given Volume can be measured.

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