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Total Surface Area of Great Dodecahedron given Volume 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{4 \cdot V}{5 \cdot (\sqrt{5} - 1)})}^{\frac{2}{3}}

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

Total Surface Area of Great Dodecahedron given Volume Example

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

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

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

1092.1238 = 15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot 1550}{5 \cdot (\sqrt{5} - 1)})}^{\frac{2}{3}}

1092.1238m² = 15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot 1550m³}{5 \cdot (\sqrt{5} - 1)})}^{\frac{2}{3}}

1092.1238 = 15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot 1550}{5 \cdot (\sqrt{5} - 1)})}^{\frac{2}{3}}

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Total Surface Area of Great Dodecahedron given Volume Solution

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

FIRST Step Consider the formula

TSA = 15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot V}{5 \cdot (\sqrt{5} - 1)})}^{\frac{2}{3}}

Next Step Substitute values of Variables

∴

TSA = 15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot 1550m³}{5 \cdot (\sqrt{5} - 1)})}^{\frac{2}{3}}

Next Step Prepare to Evaluate

∴

TSA = 15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot 1550}{5 \cdot (\sqrt{5} - 1)})}^{\frac{2}{3}}

Next Step Evaluate

∴

TSA = 1092.12375323325m²

LAST Step Rounding Answer

∴

TSA = 1092.1238m²

Total Surface Area of Great Dodecahedron given Volume 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

Volume of Great Dodecahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Volume?

Total Surface Area of Great Dodecahedron given Volume evaluator uses Total Surface Area of Great Dodecahedron = 15*sqrt(5-(2*sqrt(5)))*((4*Volume of Great Dodecahedron)/(5*(sqrt(5)-1)))^(2/3) to evaluate the Total Surface Area of Great Dodecahedron, Total Surface Area of Great Dodecahedron given Volume formula is defined as the total quantity of plane enclosed on the entire surface of the Great Dodecahedron, calculated using its volume. Total Surface Area of Great Dodecahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Great Dodecahedron given Volume

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

The formula of Total Surface Area of Great Dodecahedron given Volume is expressed as Total Surface Area of Great Dodecahedron = 15*sqrt(5-(2*sqrt(5)))*((4*Volume of Great Dodecahedron)/(5*(sqrt(5)-1)))^(2/3). Here is an example- 1092.124 = 15*sqrt(5-(2*sqrt(5)))*((4*1550)/(5*(sqrt(5)-1)))^(2/3).

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

With Volume of Great Dodecahedron (V) we can find Total Surface Area of Great Dodecahedron given Volume using the formula - Total Surface Area of Great Dodecahedron = 15*sqrt(5-(2*sqrt(5)))*((4*Volume of Great Dodecahedron)/(5*(sqrt(5)-1)))^(2/3). 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 Volume be negative?

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

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

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

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