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Surface to Volume Ratio of Triangular Cupola given Volume Formula

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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. Check FAQs

R A/V = \frac{3 + \frac{5 \cdot \sqrt{3}}{2}}{\frac{5}{3 \cdot \sqrt{2}} \cdot {(\frac{3 \cdot \sqrt{2} \cdot V}{5})}^{\frac{1}{3}}}

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

Surface to Volume Ratio of Triangular Cupola given Volume Example

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

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

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

0.6182 = \frac{3 + \frac{5 \cdot \sqrt{3}}{2}}{\frac{5}{3 \cdot \sqrt{2}} \cdot {(\frac{3 \cdot \sqrt{2} \cdot 1200}{5})}^{\frac{1}{3}}}

0.6182m⁻¹ = \frac{3 + \frac{5 \cdot \sqrt{3}}{2}}{\frac{5}{3 \cdot \sqrt{2}} \cdot {(\frac{3 \cdot \sqrt{2} \cdot 1200m³}{5})}^{\frac{1}{3}}}

0.6182 = \frac{3 + \frac{5 \cdot \sqrt{3}}{2}}{\frac{5}{3 \cdot \sqrt{2}} \cdot {(\frac{3 \cdot \sqrt{2} \cdot 1200}{5})}^{\frac{1}{3}}}

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Surface to Volume Ratio of Triangular Cupola given Volume Solution

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

FIRST Step Consider the formula

R A/V = \frac{3 + \frac{5 \cdot \sqrt{3}}{2}}{\frac{5}{3 \cdot \sqrt{2}} \cdot {(\frac{3 \cdot \sqrt{2} \cdot V}{5})}^{\frac{1}{3}}}

Next Step Substitute values of Variables

∴

R A/V = \frac{3 + \frac{5 \cdot \sqrt{3}}{2}}{\frac{5}{3 \cdot \sqrt{2}} \cdot {(\frac{3 \cdot \sqrt{2} \cdot 1200m³}{5})}^{\frac{1}{3}}}

Next Step Prepare to Evaluate

∴

R A/V = \frac{3 + \frac{5 \cdot \sqrt{3}}{2}}{\frac{5}{3 \cdot \sqrt{2}} \cdot {(\frac{3 \cdot \sqrt{2} \cdot 1200}{5})}^{\frac{1}{3}}}

Next Step Evaluate

∴

R A/V = 0.618246856856991m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.6182m⁻¹

Surface to Volume Ratio of Triangular Cupola given Volume Formula Elements

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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

Volume of Triangular Cupola

Volume of Triangular Cupola is the total quantity of three-dimensional space enclosed by the surface of the Triangular Cupola.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Surface to Volume Ratio of Triangular Cupola

Go Surface to Volume Ratio of Triangular Cupola

R A/V = \frac{3 + \frac{5 \cdot \sqrt{3}}{2}}{\frac{5}{3 \cdot \sqrt{2}} \cdot l e}

Go Surface to Volume Ratio of Triangular Cupola given Height

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

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

R A/V = \frac{3 + \frac{5 \cdot \sqrt{3}}{2}}{\frac{5}{3 \cdot \sqrt{2}} \cdot \sqrt{\frac{TSA}{3 + \frac{5 \cdot \sqrt{3}}{2}}}}

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

Surface to Volume Ratio of Triangular Cupola given Volume evaluator uses Surface to Volume Ratio of Triangular Cupola = (3+(5*sqrt(3))/2)/(5/(3*sqrt(2))*((3*sqrt(2)*Volume of Triangular Cupola)/5)^(1/3)) to evaluate the Surface to Volume Ratio of Triangular Cupola, The Surface to Volume Ratio of Triangular Cupola given Volume formula is defined as the numerical ratio of the total surface area of a Triangular Cupola to the volume of the Triangular Cupola and is calculated using the volume of the Triangular Cupola. Surface to Volume Ratio of Triangular Cupola is denoted by R_A/V symbol.

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

FAQs on Surface to Volume Ratio of Triangular Cupola given Volume

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

The formula of Surface to Volume Ratio of Triangular Cupola given Volume is expressed as Surface to Volume Ratio of Triangular Cupola = (3+(5*sqrt(3))/2)/(5/(3*sqrt(2))*((3*sqrt(2)*Volume of Triangular Cupola)/5)^(1/3)). Here is an example- 0.618247 = (3+(5*sqrt(3))/2)/(5/(3*sqrt(2))*((3*sqrt(2)*1200)/5)^(1/3)).

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

With Volume of Triangular Cupola (V) we can find Surface to Volume Ratio of Triangular Cupola given Volume using the formula - Surface to Volume Ratio of Triangular Cupola = (3+(5*sqrt(3))/2)/(5/(3*sqrt(2))*((3*sqrt(2)*Volume of Triangular Cupola)/5)^(1/3)). This formula also uses Square Root (sqrt) function(s).

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

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

Surface to Volume Ratio of Triangular Cupola=(3+(5*sqrt(3))/2)/(5/(3*sqrt(2))*Edge Length of Triangular Cupola)
Surface to Volume Ratio of Triangular Cupola=(3+(5*sqrt(3))/2)/(5/(3*sqrt(2))*(Height of Triangular Cupola/sqrt(1-(1/4*cosec(pi/3)^(2)))))
Surface to Volume Ratio of Triangular Cupola=(3+(5*sqrt(3))/2)/(5/(3*sqrt(2))*sqrt(Total Surface Area of Triangular Cupola/(3+(5*sqrt(3))/2)))

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

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

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

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

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