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Total Surface Area of Pentagonal Cupola Formula

GoTotal Surface Area of Pentagonal Cupola given Height Formula

GoTotal Surface Area of Pentagonal Cupola given Volume Formula

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Total Surface Area of Pentagonal Cupola is the total amount of 2D space occupied by all the faces of the Pentagonal Cupola. Check FAQs

TSA = \frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))}) \cdot {l e}^{2}

TSA - Total Surface Area of Pentagonal Cupola?l_e - Edge Length of Pentagonal Cupola?

Total Surface Area of Pentagonal Cupola Example

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

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

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

1657.975 = \frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))}) \cdot 10^{2}

1657.975m² = \frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))}) \cdot {10m}^{2}

1657.975 = \frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))}) \cdot 10^{2}

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Total Surface Area of Pentagonal Cupola Solution

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

FIRST Step Consider the formula

TSA = \frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))}) \cdot {l e}^{2}

Next Step Substitute values of Variables

∴

TSA = \frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))}) \cdot {10m}^{2}

Next Step Prepare to Evaluate

∴

TSA = \frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))}) \cdot 10^{2}

Next Step Evaluate

∴

TSA = 1657.97497529882m²

LAST Step Rounding Answer

∴

TSA = 1657.975m²

Total Surface Area of Pentagonal Cupola Formula Elements

Variables

Functions

Total Surface Area of Pentagonal Cupola

Total Surface Area of Pentagonal Cupola is the total amount of 2D space occupied by all the faces of the Pentagonal Cupola.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Pentagonal Cupola

Edge Length of Pentagonal Cupola

Edge Length of Pentagonal Cupola is the length of any edge of the Pentagonal Cupola.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Pentagonal Cupola

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 Cupola

Go Total Surface Area of Pentagonal Cupola given Height

TSA = \frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))}) \cdot (\frac{h^{2}}{1 - (\frac{1}{4} \cdot \cos e c {(\frac{π}{5})}^{2})})

Go Total Surface Area of Pentagonal Cupola given Volume

TSA = \frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))}) \cdot {(\frac{V}{\frac{1}{6} \cdot (5 + (4 \cdot \sqrt{5}))})}^{\frac{2}{3}}

Go Total Surface Area of Pentagonal Cupola given Surface to Volume Ratio

TSA = \frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))}) \cdot {(\frac{\frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))})}{\frac{1}{6} \cdot (5 + (4 \cdot \sqrt{5})) \cdot R A/V})}^{2}

How to Evaluate Total Surface Area of Pentagonal Cupola?

Total Surface Area of Pentagonal Cupola evaluator uses Total Surface Area of Pentagonal Cupola = 1/4*(20+(5*sqrt(3))+sqrt(5*(145+(62*sqrt(5)))))*Edge Length of Pentagonal Cupola^2 to evaluate the Total Surface Area of Pentagonal Cupola, The Total Surface Area of Pentagonal Cupola formula is defined as the total amount of two-dimensional space occupied by all the faces of the Pentagonal Cupola. Total Surface Area of Pentagonal Cupola is denoted by TSA symbol.

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

FAQs on Total Surface Area of Pentagonal Cupola

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

The formula of Total Surface Area of Pentagonal Cupola is expressed as Total Surface Area of Pentagonal Cupola = 1/4*(20+(5*sqrt(3))+sqrt(5*(145+(62*sqrt(5)))))*Edge Length of Pentagonal Cupola^2. Here is an example- 1657.975 = 1/4*(20+(5*sqrt(3))+sqrt(5*(145+(62*sqrt(5)))))*10^2.

How to calculate Total Surface Area of Pentagonal Cupola?

With Edge Length of Pentagonal Cupola (l_e) we can find Total Surface Area of Pentagonal Cupola using the formula - Total Surface Area of Pentagonal Cupola = 1/4*(20+(5*sqrt(3))+sqrt(5*(145+(62*sqrt(5)))))*Edge Length of Pentagonal Cupola^2. This formula also uses Square Root (sqrt) function(s).

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

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

Total Surface Area of Pentagonal Cupola=1/4*(20+(5*sqrt(3))+sqrt(5*(145+(62*sqrt(5)))))*(Height of Pentagonal Cupola^(2)/(1-(1/4*cosec(pi/5)^(2))))
Total Surface Area of Pentagonal Cupola=1/4*(20+(5*sqrt(3))+sqrt(5*(145+(62*sqrt(5)))))*(Volume of Pentagonal Cupola/(1/6*(5+(4*sqrt(5)))))^(2/3)
Total Surface Area of Pentagonal Cupola=1/4*(20+(5*sqrt(3))+sqrt(5*(145+(62*sqrt(5)))))*((1/4*(20+(5*sqrt(3))+sqrt(5*(145+(62*sqrt(5))))))/(1/6*(5+(4*sqrt(5)))*Surface to Volume Ratio of Pentagonal Cupola))^2

Can the Total Surface Area of Pentagonal Cupola be negative?

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

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

Total Surface Area of Pentagonal Cupola 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 Cupola can be measured.

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