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Total Surface Area of Pentagonal Hexecontahedron given Surface to Volume Ratio 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{6 \cdot (2 + 3 \cdot 0.4715756) \cdot \frac{\sqrt{1 - {0.4715756}^{2}}}{1 - 2 \cdot {0.4715756}^{2}}}{AV \cdot \frac{(1 + 0.4715756) \cdot (2 + 3 \cdot 0.4715756)}{(1 - 2 \cdot {0.4715756}^{2}) \cdot \sqrt{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}}

TSA - Total Surface Area of Pentagonal Hexecontahedron?AV - SA:V of Pentagonal Hexecontahedron?

Total Surface Area of Pentagonal Hexecontahedron given Surface to Volume Ratio Example

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

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

Here is how the Total Surface Area of Pentagonal Hexecontahedron given Surface to Volume Ratio equation looks like.

2989.1578 = 30 \cdot {(\frac{6 \cdot (2 + 3 \cdot 0.4715756) \cdot \frac{\sqrt{1 - {0.4715756}^{2}}}{1 - 2 \cdot {0.4715756}^{2}}}{0.2 \cdot \frac{(1 + 0.4715756) \cdot (2 + 3 \cdot 0.4715756)}{(1 - 2 \cdot {0.4715756}^{2}) \cdot \sqrt{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}}

2989.1578m² = 30 \cdot {(\frac{6 \cdot (2 + 3 \cdot 0.4715756) \cdot \frac{\sqrt{1 - {0.4715756}^{2}}}{1 - 2 \cdot {0.4715756}^{2}}}{0.2m⁻¹ \cdot \frac{(1 + 0.4715756) \cdot (2 + 3 \cdot 0.4715756)}{(1 - 2 \cdot {0.4715756}^{2}) \cdot \sqrt{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}}

2989.1578 = 30 \cdot {(\frac{6 \cdot (2 + 3 \cdot 0.4715756) \cdot \frac{\sqrt{1 - {0.4715756}^{2}}}{1 - 2 \cdot {0.4715756}^{2}}}{0.2 \cdot \frac{(1 + 0.4715756) \cdot (2 + 3 \cdot 0.4715756)}{(1 - 2 \cdot {0.4715756}^{2}) \cdot \sqrt{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}}

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Total Surface Area of Pentagonal Hexecontahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

TSA = 30 \cdot {(\frac{6 \cdot (2 + 3 \cdot 0.4715756) \cdot \frac{\sqrt{1 - {0.4715756}^{2}}}{1 - 2 \cdot {0.4715756}^{2}}}{AV \cdot \frac{(1 + 0.4715756) \cdot (2 + 3 \cdot 0.4715756)}{(1 - 2 \cdot {0.4715756}^{2}) \cdot \sqrt{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}}

Next Step Substitute values of Variables

∴

TSA = 30 \cdot {(\frac{6 \cdot (2 + 3 \cdot 0.4715756) \cdot \frac{\sqrt{1 - {0.4715756}^{2}}}{1 - 2 \cdot {0.4715756}^{2}}}{0.2m⁻¹ \cdot \frac{(1 + 0.4715756) \cdot (2 + 3 \cdot 0.4715756)}{(1 - 2 \cdot {0.4715756}^{2}) \cdot \sqrt{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}}

Next Step Prepare to Evaluate

∴

TSA = 30 \cdot {(\frac{6 \cdot (2 + 3 \cdot 0.4715756) \cdot \frac{\sqrt{1 - {0.4715756}^{2}}}{1 - 2 \cdot {0.4715756}^{2}}}{0.2 \cdot \frac{(1 + 0.4715756) \cdot (2 + 3 \cdot 0.4715756)}{(1 - 2 \cdot {0.4715756}^{2}) \cdot \sqrt{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}}

Next Step Evaluate

∴

TSA = 2989.15776135311m²

LAST Step Rounding Answer

∴

TSA = 2989.1578m²

Total Surface Area of Pentagonal Hexecontahedron given Surface to Volume Ratio Formula Elements

Variables

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

SA:V of Pentagonal Hexecontahedron

SA:V of Pentagonal Hexecontahedron is what part of or fraction of total volume of Pentagonal Hexecontahedron is the total surface area.

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V 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

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}}

How to Evaluate Total Surface Area of Pentagonal Hexecontahedron given Surface to Volume Ratio?

Total Surface Area of Pentagonal Hexecontahedron given Surface to Volume Ratio evaluator uses Total Surface Area of Pentagonal Hexecontahedron = 30*((6*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2))/(SA:V of Pentagonal Hexecontahedron*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*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 Surface to Volume Ratio formula is defined as the amount or quantity of two-dimensional space covered by the surface of the Pentagonal Hexecontahedron, calculated using surface to volume ratio 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 Surface to Volume Ratio using this online evaluator? To use this online evaluator for Total Surface Area of Pentagonal Hexecontahedron given Surface to Volume Ratio, enter SA:V of Pentagonal Hexecontahedron (AV) and hit the calculate button.

FAQs on Total Surface Area of Pentagonal Hexecontahedron given Surface to Volume Ratio

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

The formula of Total Surface Area of Pentagonal Hexecontahedron given Surface to Volume Ratio is expressed as Total Surface Area of Pentagonal Hexecontahedron = 30*((6*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2))/(SA:V of Pentagonal Hexecontahedron*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756))))^2*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2). Here is an example- 2989.158 = 30*((6*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2))/(0.2*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*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 Surface to Volume Ratio?

With SA:V of Pentagonal Hexecontahedron (AV) we can find Total Surface Area of Pentagonal Hexecontahedron given Surface to Volume Ratio using the formula - Total Surface Area of Pentagonal Hexecontahedron = 30*((6*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2))/(SA:V of Pentagonal Hexecontahedron*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*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*(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)

Can the Total Surface Area of Pentagonal Hexecontahedron given Surface to Volume Ratio be negative?

No, the Total Surface Area of Pentagonal Hexecontahedron given Surface to Volume Ratio, measured in Area cannot be negative.

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

Total Surface Area of Pentagonal Hexecontahedron given Surface to Volume Ratio 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 Surface to Volume Ratio can be measured.

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