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Total Surface Area of Pentagonal Hexecontahedron given Long Edge Formula

GoTotal Surface Area of Pentagonal Hexecontahedron Formula

GoTotal Surface Area of Pentagonal Hexecontahedron given Snub Dodecahedron Edge Formula

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Total Surface Area of Pentagonal Hexecontahedron is the amount or quantity of two dimensional space covered on the surface of Pentagonal Hexecontahedron. Check FAQs

TSA = 30 \cdot {(\frac{31 \cdot l e(Long)}{((7 \cdot [phi] + 2) + (5 \cdot [phi] - 3) + 2 \cdot (8 - 3 \cdot [phi])) \cdot \sqrt{2 + 2 \cdot (0.4715756)}})}^{2} \cdot (2 + 3 \cdot 0.4715756) \cdot \frac{\sqrt{1 - {0.4715756}^{2}}}{1 - 2 \cdot {0.4715756}^{2}}

TSA - Total Surface Area of Pentagonal Hexecontahedron?l_e(Long) - Long Edge of Pentagonal Hexecontahedron?[phi] - Golden ratio?[phi] - Golden ratio?[phi] - Golden ratio?

Total Surface Area of Pentagonal Hexecontahedron given Long Edge Example

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Here is how the Total Surface Area of Pentagonal Hexecontahedron given Long Edge equation looks like with Values.

Here is how the Total Surface Area of Pentagonal Hexecontahedron given Long Edge equation looks like with Units.

Here is how the Total Surface Area of Pentagonal Hexecontahedron given Long Edge equation looks like.

3132.6776 = 30 \cdot {(\frac{31 \cdot 6}{((7 \cdot 1.618 + 2) + (5 \cdot 1.618 - 3) + 2 \cdot (8 - 3 \cdot 1.618)) \cdot \sqrt{2 + 2 \cdot (0.4715756)}})}^{2} \cdot (2 + 3 \cdot 0.4715756) \cdot \frac{\sqrt{1 - {0.4715756}^{2}}}{1 - 2 \cdot {0.4715756}^{2}}

3132.6776m² = 30 \cdot {(\frac{31 \cdot 6m}{((7 \cdot 1.618 + 2) + (5 \cdot 1.618 - 3) + 2 \cdot (8 - 3 \cdot 1.618)) \cdot \sqrt{2 + 2 \cdot (0.4715756)}})}^{2} \cdot (2 + 3 \cdot 0.4715756) \cdot \frac{\sqrt{1 - {0.4715756}^{2}}}{1 - 2 \cdot {0.4715756}^{2}}

3132.6776 = 30 \cdot {(\frac{31 \cdot 6}{((7 \cdot 1.618 + 2) + (5 \cdot 1.618 - 3) + 2 \cdot (8 - 3 \cdot 1.618)) \cdot \sqrt{2 + 2 \cdot (0.4715756)}})}^{2} \cdot (2 + 3 \cdot 0.4715756) \cdot \frac{\sqrt{1 - {0.4715756}^{2}}}{1 - 2 \cdot {0.4715756}^{2}}

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Total Surface Area of Pentagonal Hexecontahedron given Long Edge Solution

Follow our step by step solution on how to calculate Total Surface Area of Pentagonal Hexecontahedron given Long Edge?

FIRST Step Consider the formula

TSA = 30 \cdot {(\frac{31 \cdot l e(Long)}{((7 \cdot [phi] + 2) + (5 \cdot [phi] - 3) + 2 \cdot (8 - 3 \cdot [phi])) \cdot \sqrt{2 + 2 \cdot (0.4715756)}})}^{2} \cdot (2 + 3 \cdot 0.4715756) \cdot \frac{\sqrt{1 - {0.4715756}^{2}}}{1 - 2 \cdot {0.4715756}^{2}}

Next Step Substitute values of Variables

∴

TSA = 30 \cdot {(\frac{31 \cdot 6m}{((7 \cdot [phi] + 2) + (5 \cdot [phi] - 3) + 2 \cdot (8 - 3 \cdot [phi])) \cdot \sqrt{2 + 2 \cdot (0.4715756)}})}^{2} \cdot (2 + 3 \cdot 0.4715756) \cdot \frac{\sqrt{1 - {0.4715756}^{2}}}{1 - 2 \cdot {0.4715756}^{2}}

Next Step Substitute values of Constants

∴

TSA = 30 \cdot {(\frac{31 \cdot 6m}{((7 \cdot 1.618 + 2) + (5 \cdot 1.618 - 3) + 2 \cdot (8 - 3 \cdot 1.618)) \cdot \sqrt{2 + 2 \cdot (0.4715756)}})}^{2} \cdot (2 + 3 \cdot 0.4715756) \cdot \frac{\sqrt{1 - {0.4715756}^{2}}}{1 - 2 \cdot {0.4715756}^{2}}

Next Step Prepare to Evaluate

∴

TSA = 30 \cdot {(\frac{31 \cdot 6}{((7 \cdot 1.618 + 2) + (5 \cdot 1.618 - 3) + 2 \cdot (8 - 3 \cdot 1.618)) \cdot \sqrt{2 + 2 \cdot (0.4715756)}})}^{2} \cdot (2 + 3 \cdot 0.4715756) \cdot \frac{\sqrt{1 - {0.4715756}^{2}}}{1 - 2 \cdot {0.4715756}^{2}}

Next Step Evaluate

∴

TSA = 3132.67759508438m²

LAST Step Rounding Answer

∴

TSA = 3132.6776m²

Total Surface Area of Pentagonal Hexecontahedron given Long Edge Formula Elements

Variables

Constants

Functions

Total Surface Area of Pentagonal Hexecontahedron

Total Surface Area of Pentagonal Hexecontahedron is the amount or quantity of two dimensional space covered on the surface of Pentagonal Hexecontahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Pentagonal Hexecontahedron

Long Edge of Pentagonal Hexecontahedron

Long Edge of Pentagonal Hexecontahedron is the length of longest edge which is the top edge of the axial-symmetric pentagonal faces of Pentagonal Hexecontahedron.

Symbol: l_e(Long)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Edge of Pentagonal Hexecontahedron

Golden ratio

The Golden ratio occurs when the ratio of two numbers is the same as the ratio of their sum to the larger of the two numbers.

Symbol: [phi]

Value: 1.61803398874989484820458683436563811

Golden ratio

The Golden ratio occurs when the ratio of two numbers is the same as the ratio of their sum to the larger of the two numbers.

Symbol: [phi]

Value: 1.61803398874989484820458683436563811

Golden ratio

The Golden ratio occurs when the ratio of two numbers is the same as the ratio of their sum to the larger of the two numbers.

Symbol: [phi]

Value: 1.61803398874989484820458683436563811

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 Pentagonal Hexecontahedron

Go Total Surface Area of Pentagonal Hexecontahedron

TSA = 30 \cdot {l e(Short)}^{2} \cdot (2 + 3 \cdot 0.4715756) \cdot \frac{\sqrt{1 - {0.4715756}^{2}}}{1 - 2 \cdot {0.4715756}^{2}}

Go Total Surface Area of Pentagonal Hexecontahedron given Snub Dodecahedron Edge

TSA = 30 \cdot {(\frac{l e(Snub Dodecahedron)}{\sqrt{2 + 2 \cdot (0.4715756)}})}^{2} \cdot (2 + 3 \cdot 0.4715756) \cdot \frac{\sqrt{1 - {0.4715756}^{2}}}{1 - 2 \cdot {0.4715756}^{2}}

Go Total Surface Area of Pentagonal Hexecontahedron given Volume

TSA = 30 \cdot {(\frac{V \cdot (1 - 2 \cdot {0.4715756}^{2}) \cdot \sqrt{1 - 2 \cdot 0.4715756}}{5 \cdot (1 + 0.4715756) \cdot (2 + 3 \cdot 0.4715756)})}^{\frac{2}{3}} \cdot (2 + 3 \cdot 0.4715756) \cdot \frac{\sqrt{1 - {0.4715756}^{2}}}{1 - 2 \cdot {0.4715756}^{2}}

Go Total Surface Area of Pentagonal Hexecontahedron given Midsphere Radius

TSA = 30 \cdot {(\frac{r m}{\sqrt{\frac{1 + 0.4715756}{2 \cdot (1 - 2 \cdot 0.4715756)}}})}^{2} \cdot (2 + 3 \cdot 0.4715756) \cdot \frac{\sqrt{1 - {0.4715756}^{2}}}{1 - 2 \cdot {0.4715756}^{2}}

How to Evaluate Total Surface Area of Pentagonal Hexecontahedron given Long Edge?

Total Surface Area of Pentagonal Hexecontahedron given Long Edge evaluator uses Total Surface Area of Pentagonal Hexecontahedron = 30*((31*Long Edge of Pentagonal Hexecontahedron)/(((7*[phi]+2)+(5*[phi]-3)+2*(8-3*[phi]))*sqrt(2+2*(0.4715756))))^2*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2) to evaluate the Total Surface Area of Pentagonal Hexecontahedron, Total Surface Area of Pentagonal Hexecontahedron given Long Edge formula is defined as the amount or quantity of two-dimensional space covered by the surface of the Pentagonal Hexecontahedron, calculated using long edge of Pentagonal Hexecontahedron. Total Surface Area of Pentagonal Hexecontahedron is denoted by TSA symbol.

How to evaluate Total Surface Area of Pentagonal Hexecontahedron given Long Edge using this online evaluator? To use this online evaluator for Total Surface Area of Pentagonal Hexecontahedron given Long Edge, enter Long Edge of Pentagonal Hexecontahedron (l_e(Long)) and hit the calculate button.

FAQs on Total Surface Area of Pentagonal Hexecontahedron given Long Edge

What is the formula to find Total Surface Area of Pentagonal Hexecontahedron given Long Edge?

The formula of Total Surface Area of Pentagonal Hexecontahedron given Long Edge is expressed as Total Surface Area of Pentagonal Hexecontahedron = 30*((31*Long Edge of Pentagonal Hexecontahedron)/(((7*[phi]+2)+(5*[phi]-3)+2*(8-3*[phi]))*sqrt(2+2*(0.4715756))))^2*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2). Here is an example- 3132.678 = 30*((31*6)/(((7*[phi]+2)+(5*[phi]-3)+2*(8-3*[phi]))*sqrt(2+2*(0.4715756))))^2*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2).

How to calculate Total Surface Area of Pentagonal Hexecontahedron given Long Edge?

With Long Edge of Pentagonal Hexecontahedron (l_e(Long)) we can find Total Surface Area of Pentagonal Hexecontahedron given Long Edge using the formula - Total Surface Area of Pentagonal Hexecontahedron = 30*((31*Long Edge of Pentagonal Hexecontahedron)/(((7*[phi]+2)+(5*[phi]-3)+2*(8-3*[phi]))*sqrt(2+2*(0.4715756))))^2*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2). This formula also uses Golden ratio, Golden ratio, Golden ratio constant(s) and Square Root Function function(s).

What are the other ways to Calculate Total Surface Area of Pentagonal Hexecontahedron?

Here are the different ways to Calculate Total Surface Area of Pentagonal Hexecontahedron-

Total Surface Area of Pentagonal Hexecontahedron=30*Short Edge of Pentagonal Hexecontahedron^2*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2)
Total Surface Area of Pentagonal Hexecontahedron=30*(Snub Dodecahedron Edge Pentagonal Hexecontahedron/sqrt(2+2*(0.4715756)))^2*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2)
Total Surface Area of Pentagonal Hexecontahedron=30*((Volume of Pentagonal Hexecontahedron*(1-2*0.4715756^2)*sqrt(1-2*0.4715756))/(5*(1+0.4715756)*(2+3*0.4715756)))^(2/3)*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2)

Can the Total Surface Area of Pentagonal Hexecontahedron given Long Edge be negative?

No, the Total Surface Area of Pentagonal Hexecontahedron given Long Edge, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Pentagonal Hexecontahedron given Long Edge?

Total Surface Area of Pentagonal Hexecontahedron given Long Edge 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 Pentagonal Hexecontahedron given Long Edge can be measured.

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Total Surface Area of Pentagonal Hexecontahedron given Long Edge Formula

​GoTotal Surface Area of Pentagonal Hexecontahedron Formula

​GoTotal Surface Area of Pentagonal Hexecontahedron given Snub Dodecahedron Edge Formula

Total Surface Area of Pentagonal Hexecontahedron given Long Edge Example

Total Surface Area of Pentagonal Hexecontahedron given Long Edge Solution

Total Surface Area of Pentagonal Hexecontahedron given Long Edge Formula Elements

Other Formulas to find Total Surface Area of Pentagonal Hexecontahedron

How to Evaluate Total Surface Area of Pentagonal Hexecontahedron given Long Edge?

FAQs on Total Surface Area of Pentagonal Hexecontahedron given Long Edge

Variable Name

GoTotal Surface Area of Pentagonal Hexecontahedron Formula

GoTotal Surface Area of Pentagonal Hexecontahedron given Snub Dodecahedron Edge Formula