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

GoTotal Surface Area of Square Cupola Formula

GoTotal Surface Area of Square Cupola given Height 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{7 + (2 \cdot \sqrt{2}) + \sqrt{3}}{(1 + \frac{2 \cdot \sqrt{2}}{3}) \cdot R A/V})}^{2}

TSA - Total Surface Area of Square Cupola?R_A/V - Surface to Volume Ratio of Square Cupola?

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

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

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

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

1137.0109 = (7 + (2 \cdot \sqrt{2}) + \sqrt{3}) \cdot {(\frac{7 + (2 \cdot \sqrt{2}) + \sqrt{3}}{(1 + \frac{2 \cdot \sqrt{2}}{3}) \cdot 0.6})}^{2}

1137.0109m² = (7 + (2 \cdot \sqrt{2}) + \sqrt{3}) \cdot {(\frac{7 + (2 \cdot \sqrt{2}) + \sqrt{3}}{(1 + \frac{2 \cdot \sqrt{2}}{3}) \cdot 0.6m⁻¹})}^{2}

1137.0109 = (7 + (2 \cdot \sqrt{2}) + \sqrt{3}) \cdot {(\frac{7 + (2 \cdot \sqrt{2}) + \sqrt{3}}{(1 + \frac{2 \cdot \sqrt{2}}{3}) \cdot 0.6})}^{2}

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

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

FIRST Step Consider the formula

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}

Next Step Substitute values of Variables

∴

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 0.6m⁻¹})}^{2}

Next Step Prepare to Evaluate

∴

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 0.6})}^{2}

Next Step Evaluate

∴

TSA = 1137.0109164871m²

LAST Step Rounding Answer

∴

TSA = 1137.0109m²

Total Surface Area of Square Cupola given Surface to Volume Ratio Formula Elements

Variables

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

Surface to Volume Ratio of Square Cupola

Surface to Volume Ratio of Square Cupola is the numerical ratio of the total surface area of a Square Cupola to the volume of the Square Cupola.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Square 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 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 Height

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

How to Evaluate Total Surface Area of Square Cupola given Surface to Volume Ratio?

Total Surface Area of Square Cupola given Surface to Volume Ratio evaluator uses 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 to evaluate the Total Surface Area of Square Cupola, The Total Surface Area of Square Cupola given Surface to Volume Ratio 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 surface to volume 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 Surface to Volume Ratio using this online evaluator? To use this online evaluator for Total Surface Area of Square Cupola given Surface to Volume Ratio, enter Surface to Volume Ratio of Square Cupola (R_A/V) and hit the calculate button.

FAQs on Total Surface Area of Square Cupola given Surface to Volume Ratio

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

The formula of Total Surface Area of Square Cupola given Surface to Volume Ratio is expressed as 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. Here is an example- 1137.011 = (7+(2*sqrt(2))+sqrt(3))*((7+(2*sqrt(2))+sqrt(3))/((1+(2*sqrt(2))/3)*0.6))^2.

How to calculate Total Surface Area of Square Cupola given Surface to Volume Ratio?

With Surface to Volume Ratio of Square Cupola (R_A/V) we can find Total Surface Area of Square Cupola given Surface to Volume Ratio using the formula - 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. This formula also uses 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))*(Height of Square Cupola^(2)/(1-(1/4*cosec(pi/4)^(2))))
Total Surface Area of Square Cupola=(7+(2*sqrt(2))+sqrt(3))*(Volume of Square Cupola/(1+(2*sqrt(2))/3))^(2/3)

Can the Total Surface Area of Square Cupola given Surface to Volume Ratio be negative?

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

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

Total Surface Area of Square Cupola 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 Square Cupola given Surface to Volume Ratio can be measured.

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