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Total Surface Area of Square Cupola given Height Formula

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GoTotal Surface Area of Square Cupola given Volume Formula

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

TSA = (7 + (2 \cdot \sqrt{2}) + \sqrt{3}) \cdot (\frac{h^{2}}{1 - (\frac{1}{4} \cdot \cos e c {(\frac{π}{4})}^{2})})

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

Total Surface Area of Square Cupola given Height Example

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

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

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

1132.9268 = (7 + (2 \cdot \sqrt{2}) + \sqrt{3}) \cdot (\frac{7^{2}}{1 - (\frac{1}{4} \cdot \cos e c {(\frac{3.1416}{4})}^{2})})

1132.9268m² = (7 + (2 \cdot \sqrt{2}) + \sqrt{3}) \cdot (\frac{{7m}^{2}}{1 - (\frac{1}{4} \cdot \cos e c {(\frac{3.1416}{4})}^{2})})

1132.9268 = (7 + (2 \cdot \sqrt{2}) + \sqrt{3}) \cdot (\frac{7^{2}}{1 - (\frac{1}{4} \cdot \cos e c {(\frac{3.1416}{4})}^{2})})

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Total Surface Area of Square Cupola given Height Solution

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

FIRST Step Consider the formula

TSA = (7 + (2 \cdot \sqrt{2}) + \sqrt{3}) \cdot (\frac{h^{2}}{1 - (\frac{1}{4} \cdot \cos e c {(\frac{π}{4})}^{2})})

Next Step Substitute values of Variables

∴

TSA = (7 + (2 \cdot \sqrt{2}) + \sqrt{3}) \cdot (\frac{{7m}^{2}}{1 - (\frac{1}{4} \cdot \cos e c {(\frac{π}{4})}^{2})})

Next Step Substitute values of Constants

∴

TSA = (7 + (2 \cdot \sqrt{2}) + \sqrt{3}) \cdot (\frac{{7m}^{2}}{1 - (\frac{1}{4} \cdot \cos e c {(\frac{3.1416}{4})}^{2})})

Next Step Prepare to Evaluate

∴

TSA = (7 + (2 \cdot \sqrt{2}) + \sqrt{3}) \cdot (\frac{7^{2}}{1 - (\frac{1}{4} \cdot \cos e c {(\frac{3.1416}{4})}^{2})})

Next Step Evaluate

∴

TSA = 1132.92683736688m²

LAST Step Rounding Answer

∴

TSA = 1132.9268m²

Total Surface Area of Square Cupola given Height Formula Elements

Variables

Constants

Functions

Total Surface Area of Square Cupola

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Square Cupola

Height of Square Cupola

Height of Square Cupola is the vertical distance from the square face to the opposite octagonal face of the Square Cupola.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Square 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 Square Cupola

Go Total Surface Area of Square Cupola

TSA = (7 + (2 \cdot \sqrt{2}) + \sqrt{3}) \cdot {l e}^{2}

Go Total Surface Area of Square Cupola given Volume

TSA = (7 + (2 \cdot \sqrt{2}) + \sqrt{3}) \cdot {(\frac{V}{1 + \frac{2 \cdot \sqrt{2}}{3}})}^{\frac{2}{3}}

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

TSA = (7 + (2 \cdot \sqrt{2}) + \sqrt{3}) \cdot {(\frac{7 + (2 \cdot \sqrt{2}) + \sqrt{3}}{(1 + \frac{2 \cdot \sqrt{2}}{3}) \cdot R A/V})}^{2}

How to Evaluate Total Surface Area of Square Cupola given Height?

Total Surface Area of Square Cupola given Height evaluator uses Total Surface Area of Square Cupola = (7+(2*sqrt(2))+sqrt(3))*(Height of Square Cupola^(2)/(1-(1/4*cosec(pi/4)^(2)))) to evaluate the Total Surface Area of Square Cupola, The Total Surface Area of Square Cupola given Height formula is defined as the total amount of two-dimensional space occupied by all the faces of the Square Cupola and is calculated using the height of the Square Cupola. Total Surface Area of Square Cupola is denoted by TSA symbol.

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

FAQs on Total Surface Area of Square Cupola given Height

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

The formula of Total Surface Area of Square Cupola given Height is expressed as Total Surface Area of Square Cupola = (7+(2*sqrt(2))+sqrt(3))*(Height of Square Cupola^(2)/(1-(1/4*cosec(pi/4)^(2)))). Here is an example- 1132.927 = (7+(2*sqrt(2))+sqrt(3))*(7^(2)/(1-(1/4*cosec(pi/4)^(2)))).

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

With Height of Square Cupola (h) we can find Total Surface Area of Square Cupola given Height using the formula - Total Surface Area of Square Cupola = (7+(2*sqrt(2))+sqrt(3))*(Height of Square Cupola^(2)/(1-(1/4*cosec(pi/4)^(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 Square Cupola?

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

Total Surface Area of Square Cupola=(7+(2*sqrt(2))+sqrt(3))*Edge Length of Square Cupola^2
Total Surface Area of Square Cupola=(7+(2*sqrt(2))+sqrt(3))*(Volume of Square Cupola/(1+(2*sqrt(2))/3))^(2/3)
Total Surface Area of Square Cupola=(7+(2*sqrt(2))+sqrt(3))*((7+(2*sqrt(2))+sqrt(3))/((1+(2*sqrt(2))/3)*Surface to Volume Ratio of Square Cupola))^2

Can the Total Surface Area of Square Cupola given Height be negative?

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

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

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

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