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Total Surface Area of Truncated Dodecahedron given Volume Formula

GoTotal Surface Area of Truncated Dodecahedron Formula

GoTotal Surface Area of Truncated Dodecahedron given Dodecahedral Edge Length Formula

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

TSA = 5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot {(\frac{12 \cdot V}{5 \cdot (99 + (47 \cdot \sqrt{5}))})}^{\frac{2}{3}}

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

Total Surface Area of Truncated Dodecahedron given Volume Example

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

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

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

10095.9355 = 5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot {(\frac{12 \cdot 85000}{5 \cdot (99 + (47 \cdot \sqrt{5}))})}^{\frac{2}{3}}

10095.9355m² = 5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot {(\frac{12 \cdot 85000m³}{5 \cdot (99 + (47 \cdot \sqrt{5}))})}^{\frac{2}{3}}

10095.9355 = 5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot {(\frac{12 \cdot 85000}{5 \cdot (99 + (47 \cdot \sqrt{5}))})}^{\frac{2}{3}}

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Total Surface Area of Truncated Dodecahedron given Volume Solution

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

FIRST Step Consider the formula

TSA = 5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot {(\frac{12 \cdot V}{5 \cdot (99 + (47 \cdot \sqrt{5}))})}^{\frac{2}{3}}

Next Step Substitute values of Variables

∴

TSA = 5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot {(\frac{12 \cdot 85000m³}{5 \cdot (99 + (47 \cdot \sqrt{5}))})}^{\frac{2}{3}}

Next Step Prepare to Evaluate

∴

TSA = 5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot {(\frac{12 \cdot 85000}{5 \cdot (99 + (47 \cdot \sqrt{5}))})}^{\frac{2}{3}}

Next Step Evaluate

∴

TSA = 10095.9354686926m²

LAST Step Rounding Answer

∴

TSA = 10095.9355m²

Total Surface Area of Truncated Dodecahedron given Volume Formula Elements

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Functions

Total Surface Area of Truncated Dodecahedron

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Truncated Dodecahedron

Volume of Truncated Dodecahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Truncated 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 Truncated Dodecahedron

Go Total Surface Area of Truncated Dodecahedron

TSA = 5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot {l e}^{2}

Go Total Surface Area of Truncated Dodecahedron given Dodecahedral Edge Length

TSA = (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot {l e(Dodecahedron)}^{2}

Go Total Surface Area of Truncated Dodecahedron given Circumsphere Radius

TSA = 5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot {(\frac{4 \cdot r c}{\sqrt{74 + (30 \cdot \sqrt{5})}})}^{2}

Go Total Surface Area of Truncated Dodecahedron given Midsphere Radius

TSA = 5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot {(\frac{4 \cdot r m}{5 + (3 \cdot \sqrt{5})})}^{2}

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

Total Surface Area of Truncated Dodecahedron given Volume evaluator uses Total Surface Area of Truncated Dodecahedron = 5*(sqrt(3)+(6*sqrt(5+(2*sqrt(5)))))*((12*Volume of Truncated Dodecahedron)/(5*(99+(47*sqrt(5)))))^(2/3) to evaluate the Total Surface Area of Truncated Dodecahedron, Total Surface Area of Truncated Dodecahedron given Volume formula is defined as the total quantity of plane enclosed by the entire surface of the Truncated Dodecahedron, and calculated using the volume of the Truncated Dodecahedron. Total Surface Area of Truncated Dodecahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Truncated Dodecahedron given Volume

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

The formula of Total Surface Area of Truncated Dodecahedron given Volume is expressed as Total Surface Area of Truncated Dodecahedron = 5*(sqrt(3)+(6*sqrt(5+(2*sqrt(5)))))*((12*Volume of Truncated Dodecahedron)/(5*(99+(47*sqrt(5)))))^(2/3). Here is an example- 10095.94 = 5*(sqrt(3)+(6*sqrt(5+(2*sqrt(5)))))*((12*85000)/(5*(99+(47*sqrt(5)))))^(2/3).

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

With Volume of Truncated Dodecahedron (V) we can find Total Surface Area of Truncated Dodecahedron given Volume using the formula - Total Surface Area of Truncated Dodecahedron = 5*(sqrt(3)+(6*sqrt(5+(2*sqrt(5)))))*((12*Volume of Truncated Dodecahedron)/(5*(99+(47*sqrt(5)))))^(2/3). This formula also uses Square Root (sqrt) function(s).

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

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

Total Surface Area of Truncated Dodecahedron=5*(sqrt(3)+(6*sqrt(5+(2*sqrt(5)))))*Edge Length of Truncated Dodecahedron^2
Total Surface Area of Truncated Dodecahedron=(sqrt(3)+(6*sqrt(5+(2*sqrt(5)))))*Dodecahedral Edge Length of Truncated Dodecahedron^2
Total Surface Area of Truncated Dodecahedron=5*(sqrt(3)+(6*sqrt(5+(2*sqrt(5)))))*((4*Circumsphere Radius of Truncated Dodecahedron)/(sqrt(74+(30*sqrt(5)))))^2

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

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

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

Total Surface Area of Truncated 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 Truncated Dodecahedron given Volume can be measured.

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