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Surface to Volume Ratio of Triangular Cupola Formula

GoSurface to Volume Ratio of Triangular Cupola given Height Formula

GoSurface 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 l e}

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

Surface to Volume Ratio of Triangular Cupola Example

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

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

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

0.622 = \frac{3 + \frac{5 \cdot \sqrt{3}}{2}}{\frac{5}{3 \cdot \sqrt{2}} \cdot 10}

0.622m⁻¹ = \frac{3 + \frac{5 \cdot \sqrt{3}}{2}}{\frac{5}{3 \cdot \sqrt{2}} \cdot 10m}

0.622 = \frac{3 + \frac{5 \cdot \sqrt{3}}{2}}{\frac{5}{3 \cdot \sqrt{2}} \cdot 10}

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Surface to Volume Ratio of Triangular Cupola Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R A/V = \frac{3 + \frac{5 \cdot \sqrt{3}}{2}}{\frac{5}{3 \cdot \sqrt{2}} \cdot 10m}

Next Step Prepare to Evaluate

∴

R A/V = \frac{3 + \frac{5 \cdot \sqrt{3}}{2}}{\frac{5}{3 \cdot \sqrt{2}} \cdot 10}

Next Step Evaluate

∴

R A/V = 0.621981902644634m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.622m⁻¹

Surface to Volume Ratio of Triangular Cupola Formula Elements

Variables

Functions

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

Edge Length of Triangular Cupola

Edge Length of Triangular Cupola is the length of any edge of the Triangular Cupola.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length 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 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 Volume

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}}}

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?

Surface to Volume Ratio of Triangular Cupola evaluator uses Surface to Volume Ratio of Triangular Cupola = (3+(5*sqrt(3))/2)/(5/(3*sqrt(2))*Edge Length of Triangular Cupola) to evaluate the Surface to Volume Ratio of Triangular Cupola, The Surface to Volume Ratio of Triangular Cupola formula is defined as the numerical ratio of the total surface area of a Triangular Cupola to 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 using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Triangular Cupola, enter Edge Length of Triangular Cupola (l_e) and hit the calculate button.

FAQs on Surface to Volume Ratio of Triangular Cupola

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

The formula of Surface to Volume Ratio of Triangular Cupola is expressed as Surface to Volume Ratio of Triangular Cupola = (3+(5*sqrt(3))/2)/(5/(3*sqrt(2))*Edge Length of Triangular Cupola). Here is an example- 0.621982 = (3+(5*sqrt(3))/2)/(5/(3*sqrt(2))*10).

How to calculate Surface to Volume Ratio of Triangular Cupola?

With Edge Length of Triangular Cupola (l_e) we can find Surface to Volume Ratio of Triangular Cupola using the formula - Surface to Volume Ratio of Triangular Cupola = (3+(5*sqrt(3))/2)/(5/(3*sqrt(2))*Edge Length of Triangular Cupola). 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))*(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))*((3*sqrt(2)*Volume of Triangular Cupola)/5)^(1/3))
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 be negative?

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

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

Surface to Volume Ratio of Triangular Cupola 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 can be measured.

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