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Total Surface Area of Pentagonal Hexecontahedron given Snub Dodecahedron Edge Formula

GoTotal Surface Area of Pentagonal Hexecontahedron given Long Edge Formula

GoTotal Surface Area of Pentagonal Hexecontahedron 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{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}}

TSA - Total Surface Area of Pentagonal Hexecontahedron?l_{e(Snub Dodecahedron)} - Snub Dodecahedron Edge Pentagonal Hexecontahedron?

Total Surface Area of Pentagonal Hexecontahedron given Snub Dodecahedron Edge Example

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

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

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

2708.7458 = 30 \cdot {(\frac{7}{\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}}

2708.7458m² = 30 \cdot {(\frac{7m}{\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}}

2708.7458 = 30 \cdot {(\frac{7}{\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 Snub Dodecahedron Edge Solution

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

FIRST Step Consider the formula

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}}

Next Step Substitute values of Variables

∴

TSA = 30 \cdot {(\frac{7m}{\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{7}{\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 = 2708.74577533654m²

LAST Step Rounding Answer

∴

TSA = 2708.7458m²

Total Surface Area of Pentagonal Hexecontahedron given Snub Dodecahedron Edge 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

Snub Dodecahedron Edge Pentagonal Hexecontahedron

Snub Dodecahedron Edge Pentagonal Hexecontahedron is the length of any edge of the Snub Dodecahedron of which the dual body is the Pentagonal Hexecontahedron.

Symbol: l_{e(Snub Dodecahedron)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Snub Dodecahedron Edge 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

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 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 Snub Dodecahedron Edge?

Total Surface Area of Pentagonal Hexecontahedron given Snub Dodecahedron Edge evaluator uses 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) to evaluate the Total Surface Area of Pentagonal Hexecontahedron, Total Surface Area of Pentagonal Hexecontahedron given Snub Dodecahedron Edge formula is defined as the amount or quantity of two-dimensional space covered by the surface of the Pentagonal Hexecontahedron, calculated using the snub dodecahedron edge of the Pentagonal Hexecontahedron. Total Surface Area of Pentagonal Hexecontahedron is denoted by TSA symbol.

How to evaluate Total Surface Area of Pentagonal Hexecontahedron given Snub Dodecahedron Edge using this online evaluator? To use this online evaluator for Total Surface Area of Pentagonal Hexecontahedron given Snub Dodecahedron Edge, enter Snub Dodecahedron Edge Pentagonal Hexecontahedron (l_{e(Snub Dodecahedron)}) and hit the calculate button.

FAQs on Total Surface Area of Pentagonal Hexecontahedron given Snub Dodecahedron Edge

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

The formula of Total Surface Area of Pentagonal Hexecontahedron given Snub Dodecahedron Edge is expressed as 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). Here is an example- 2708.746 = 30*(7/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 Snub Dodecahedron Edge?

With Snub Dodecahedron Edge Pentagonal Hexecontahedron (l_{e(Snub Dodecahedron)}) we can find Total Surface Area of Pentagonal Hexecontahedron given Snub Dodecahedron Edge using the formula - 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). 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*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*((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 Snub Dodecahedron Edge be negative?

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

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

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

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