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

GoSurface to Volume Ratio of Square Cupola Formula

GoSurface to Volume Ratio of Square Cupola given Height Formula

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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. Check FAQs

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

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

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

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

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

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

0.594 = \frac{7 + (2 \cdot \sqrt{2}) + \sqrt{3}}{(1 + \frac{2 \cdot \sqrt{2}}{3}) \cdot \sqrt{\frac{1160}{7 + (2 \cdot \sqrt{2}) + \sqrt{3}}}}

0.594m⁻¹ = \frac{7 + (2 \cdot \sqrt{2}) + \sqrt{3}}{(1 + \frac{2 \cdot \sqrt{2}}{3}) \cdot \sqrt{\frac{1160m²}{7 + (2 \cdot \sqrt{2}) + \sqrt{3}}}}

0.594 = \frac{7 + (2 \cdot \sqrt{2}) + \sqrt{3}}{(1 + \frac{2 \cdot \sqrt{2}}{3}) \cdot \sqrt{\frac{1160}{7 + (2 \cdot \sqrt{2}) + \sqrt{3}}}}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R A/V = \frac{7 + (2 \cdot \sqrt{2}) + \sqrt{3}}{(1 + \frac{2 \cdot \sqrt{2}}{3}) \cdot \sqrt{\frac{1160m²}{7 + (2 \cdot \sqrt{2}) + \sqrt{3}}}}

Next Step Prepare to Evaluate

∴

R A/V = \frac{7 + (2 \cdot \sqrt{2}) + \sqrt{3}}{(1 + \frac{2 \cdot \sqrt{2}}{3}) \cdot \sqrt{\frac{1160}{7 + (2 \cdot \sqrt{2}) + \sqrt{3}}}}

Next Step Evaluate

∴

R A/V = 0.594024794803066m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.594m⁻¹

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

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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

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

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 Surface to Volume Ratio of Square Cupola

Go Surface to Volume Ratio of Square Cupola

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

Go Surface to Volume Ratio of Square Cupola given Height

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

Go Surface to Volume Ratio of Square Cupola given Volume

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

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

Surface to Volume Ratio of Square Cupola given Total Surface Area evaluator uses Surface to Volume Ratio of Square Cupola = (7+(2*sqrt(2))+sqrt(3))/((1+(2*sqrt(2))/3)*sqrt(Total Surface Area of Square Cupola/(7+(2*sqrt(2))+sqrt(3)))) to evaluate the Surface to Volume Ratio of Square Cupola, The Surface to Volume Ratio of Square Cupola given Total Surface Area formula is defined as the numerical ratio of the total surface area of a Square Cupola to the volume of the Square Cupola and is calculated using the total surface area of the Square Cupola. Surface to Volume Ratio of Square Cupola is denoted by R_A/V symbol.

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

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

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

The formula of Surface to Volume Ratio of Square Cupola given Total Surface Area is expressed as Surface to Volume Ratio of Square Cupola = (7+(2*sqrt(2))+sqrt(3))/((1+(2*sqrt(2))/3)*sqrt(Total Surface Area of Square Cupola/(7+(2*sqrt(2))+sqrt(3)))). Here is an example- 0.594025 = (7+(2*sqrt(2))+sqrt(3))/((1+(2*sqrt(2))/3)*sqrt(1160/(7+(2*sqrt(2))+sqrt(3)))).

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

With Total Surface Area of Square Cupola (TSA) we can find Surface to Volume Ratio of Square Cupola given Total Surface Area using the formula - Surface to Volume Ratio of Square Cupola = (7+(2*sqrt(2))+sqrt(3))/((1+(2*sqrt(2))/3)*sqrt(Total Surface Area of Square Cupola/(7+(2*sqrt(2))+sqrt(3)))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Surface to Volume Ratio of Square Cupola?

Here are the different ways to Calculate Surface to Volume Ratio of Square Cupola-

Surface to Volume Ratio of Square Cupola=(7+(2*sqrt(2))+sqrt(3))/((1+(2*sqrt(2))/3)*Edge Length of Square Cupola)
Surface to Volume Ratio of Square Cupola=(7+(2*sqrt(2))+sqrt(3))/((1+(2*sqrt(2))/3)*(Height of Square Cupola/sqrt(1-(1/4*cosec(pi/4)^(2)))))
Surface to Volume Ratio of Square Cupola=(7+(2*sqrt(2))+sqrt(3))/((1+(2*sqrt(2))/3)*(Volume of Square Cupola/(1+(2*sqrt(2))/3))^(1/3))

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

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

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

Surface to Volume Ratio of Square Cupola given Total Surface Area is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Square Cupola given Total Surface Area can be measured.

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