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

GoTotal Surface Area of Triangular Cupola Formula

GoTotal Surface Area of Triangular Cupola given Height 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{(3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot (3 \cdot \sqrt{2})}{5 \cdot R A/V})}^{2}

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

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

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

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

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

787.7066 = (3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot {(\frac{(3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot (3 \cdot \sqrt{2})}{5 \cdot 0.6})}^{2}

787.7066m² = (3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot {(\frac{(3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot (3 \cdot \sqrt{2})}{5 \cdot 0.6m⁻¹})}^{2}

787.7066 = (3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot {(\frac{(3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot (3 \cdot \sqrt{2})}{5 \cdot 0.6})}^{2}

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

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

FIRST Step Consider the formula

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}

Next Step Substitute values of Variables

∴

TSA = (3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot {(\frac{(3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot (3 \cdot \sqrt{2})}{5 \cdot 0.6m⁻¹})}^{2}

Next Step Prepare to Evaluate

∴

TSA = (3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot {(\frac{(3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot (3 \cdot \sqrt{2})}{5 \cdot 0.6})}^{2}

Next Step Evaluate

∴

TSA = 787.706622231381m²

LAST Step Rounding Answer

∴

TSA = 787.7066m²

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

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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

Surface to Volume Ratio of Triangular Cupola

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

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

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}}

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

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

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

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

The formula of Total Surface Area of Triangular Cupola given Surface to Volume Ratio is expressed as 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). Here is an example- 787.7066 = (3+(5*sqrt(3))/2)*(((3+(5*sqrt(3))/2)*(3*sqrt(2)))/(5*0.6))^(2).

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

With Surface to Volume Ratio of Triangular Cupola (R_A/V) we can find Total Surface Area of Triangular Cupola given Surface to Volume Ratio using the formula - 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). 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)*Edge Length of Triangular Cupola^(2)
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)

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

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

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

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

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