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Total Surface Area of Triangular Cupola Formula

GoTotal Surface Area of Triangular Cupola given Height Formula

GoTotal Surface Area of Triangular Cupola given Volume Formula

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

TSA = (3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot {l e}^{2}

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

Total Surface Area of Triangular Cupola Example

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

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

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

733.0127 = (3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot 10^{2}

733.0127m² = (3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot {10m}^{2}

733.0127 = (3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot 10^{2}

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Total Surface Area of Triangular Cupola Solution

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

FIRST Step Consider the formula

TSA = (3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot {l e}^{2}

Next Step Substitute values of Variables

∴

TSA = (3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot {10m}^{2}

Next Step Prepare to Evaluate

∴

TSA = (3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot 10^{2}

Next Step Evaluate

∴

TSA = 733.012701892219m²

LAST Step Rounding Answer

∴

TSA = 733.0127m²

Total Surface Area of Triangular Cupola Formula Elements

Variables

Functions

Total Surface Area of Triangular Cupola

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Triangular Cupola

Edge Length of Triangular Cupola

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

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Triangular 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 Triangular Cupola

Go Total Surface Area of Triangular Cupola given Height

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

Go Total Surface Area of Triangular Cupola given Volume

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

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

TSA = (3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot {(\frac{(3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot (3 \cdot \sqrt{2})}{5 \cdot R A/V})}^{2}

How to Evaluate Total Surface Area of Triangular Cupola?

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

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

FAQs on Total Surface Area of Triangular Cupola

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

The formula of Total Surface Area of Triangular Cupola is expressed as Total Surface Area of Triangular Cupola = (3+(5*sqrt(3))/2)*Edge Length of Triangular Cupola^(2). Here is an example- 733.0127 = (3+(5*sqrt(3))/2)*10^(2).

How to calculate Total Surface Area of Triangular Cupola?

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

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

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

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

Can the Total Surface Area of Triangular Cupola be negative?

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

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

Total Surface Area of Triangular 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 Triangular Cupola can be measured.

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