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Total Surface Area of Triangular Cupola given Height Formula

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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 \frac{h^{2}}{1 - (\frac{1}{4} \cdot \cos e c {(\frac{π}{3})}^{2})}

TSA - Total Surface Area of Triangular Cupola?h - Height of Triangular Cupola?π - Archimedes' constant?

Total Surface Area of Triangular Cupola given Height Example

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

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

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

703.6922 = (3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot \frac{8^{2}}{1 - (\frac{1}{4} \cdot \cos e c {(\frac{3.1416}{3})}^{2})}

703.6922m² = (3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot \frac{{8m}^{2}}{1 - (\frac{1}{4} \cdot \cos e c {(\frac{3.1416}{3})}^{2})}

703.6922 = (3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot \frac{8^{2}}{1 - (\frac{1}{4} \cdot \cos e c {(\frac{3.1416}{3})}^{2})}

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Total Surface Area of Triangular Cupola given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = (3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot \frac{{8m}^{2}}{1 - (\frac{1}{4} \cdot \cos e c {(\frac{π}{3})}^{2})}

Next Step Substitute values of Constants

∴

TSA = (3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot \frac{{8m}^{2}}{1 - (\frac{1}{4} \cdot \cos e c {(\frac{3.1416}{3})}^{2})}

Next Step Prepare to Evaluate

∴

TSA = (3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot \frac{8^{2}}{1 - (\frac{1}{4} \cdot \cos e c {(\frac{3.1416}{3})}^{2})}

Next Step Evaluate

∴

TSA = 703.692193816531m²

LAST Step Rounding Answer

∴

TSA = 703.6922m²

Total Surface Area of Triangular Cupola given Height Formula Elements

Variables

Constants

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

Height of Triangular Cupola

Height of Triangular Cupola is the vertical distance from the triangular face to the opposite hexagonal face of the Triangular Cupola.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Triangular Cupola

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

sec

Secant is a trigonometric function that is defined ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine.

Syntax: sec(Angle)

cosec

The cosecant function is a trigonometric function that is the reciprocal of the sine function.

Syntax: cosec(Angle)

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

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

Total Surface Area of Triangular Cupola given Height evaluator uses Total Surface Area of Triangular Cupola = (3+(5*sqrt(3))/2)*Height of Triangular Cupola^(2)/(1-(1/4*cosec(pi/3)^(2))) to evaluate the Total Surface Area of Triangular Cupola, The Total Surface Area of Triangular Cupola given Height formula is defined as the total amount of two-dimensional space occupied by all the faces of the Triangular Cupola and is calculated using the height of the Triangular Cupola. Total Surface Area of Triangular Cupola is denoted by TSA symbol.

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

FAQs on Total Surface Area of Triangular Cupola given Height

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

The formula of Total Surface Area of Triangular Cupola given Height is expressed as Total Surface Area of Triangular Cupola = (3+(5*sqrt(3))/2)*Height of Triangular Cupola^(2)/(1-(1/4*cosec(pi/3)^(2))). Here is an example- 703.6922 = (3+(5*sqrt(3))/2)*8^(2)/(1-(1/4*cosec(pi/3)^(2))).

How to calculate Total Surface Area of Triangular Cupola given Height?

With Height of Triangular Cupola (h) we can find Total Surface Area of Triangular Cupola given Height using the formula - Total Surface Area of Triangular Cupola = (3+(5*sqrt(3))/2)*Height of Triangular Cupola^(2)/(1-(1/4*cosec(pi/3)^(2))). This formula also uses Archimedes' constant and , Secant (sec), Cosecant (cosec), 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)*Edge Length of Triangular Cupola^(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 given Height be negative?

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

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

Total Surface Area of Triangular Cupola given Height 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 given Height can be measured.

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