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Total Surface Area of Pentagonal Hexecontahedron Formula

GoTotal Surface Area of Pentagonal Hexecontahedron given Long Edge 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 {l e(Short)}^{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(Short) - Short Edge of Pentagonal Hexecontahedron?

Total Surface Area of Pentagonal Hexecontahedron Example

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

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

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

2603.1831 = 30 \cdot 4^{2} \cdot (2 + 3 \cdot 0.4715756) \cdot \frac{\sqrt{1 - {0.4715756}^{2}}}{1 - 2 \cdot {0.4715756}^{2}}

2603.1831m² = 30 \cdot {4m}^{2} \cdot (2 + 3 \cdot 0.4715756) \cdot \frac{\sqrt{1 - {0.4715756}^{2}}}{1 - 2 \cdot {0.4715756}^{2}}

2603.1831 = 30 \cdot 4^{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 Solution

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

FIRST Step Consider the formula

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}}

Next Step Substitute values of Variables

∴

TSA = 30 \cdot {4m}^{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 4^{2} \cdot (2 + 3 \cdot 0.4715756) \cdot \frac{\sqrt{1 - {0.4715756}^{2}}}{1 - 2 \cdot {0.4715756}^{2}}

Next Step Evaluate

∴

TSA = 2603.18314422096m²

LAST Step Rounding Answer

∴

TSA = 2603.1831m²

Total Surface Area of Pentagonal Hexecontahedron Formula Elements

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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

Short Edge of Pentagonal Hexecontahedron

Short Edge of Pentagonal Hexecontahedron is the length of the shortest edge which is the base and middle edge of the axial-symmetric pentagonal faces of the Pentagonal Hexecontahedron.

Symbol: l_e(Short)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Edge of Pentagonal Hexecontahedron

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 given Long Edge

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}}

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?

Total Surface Area of Pentagonal Hexecontahedron evaluator uses 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) to evaluate the Total Surface Area of Pentagonal Hexecontahedron, Total Surface Area of Pentagonal Hexecontahedron formula is defined as the amount or quantity of two-dimensional space covered by the surface of the Pentagonal Hexecontahedron. Total Surface Area of Pentagonal Hexecontahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Pentagonal Hexecontahedron

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

The formula of Total Surface Area of Pentagonal Hexecontahedron is expressed as 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). Here is an example- 2603.183 = 30*4^2*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2).

How to calculate Total Surface Area of Pentagonal Hexecontahedron?

With Short Edge of Pentagonal Hexecontahedron (l_e(Short)) we can find Total Surface Area of Pentagonal Hexecontahedron using the formula - 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). This formula also uses Square Root (sqrt) 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*((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)
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 be negative?

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

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

Total Surface Area of Pentagonal Hexecontahedron 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 can be measured.

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