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Edge Length of Triangular Cupola given Surface to Volume Ratio Formula

GoEdge Length of Triangular Cupola given Height Formula

GoEdge Length of Triangular Cupola given Total Surface Area Formula

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

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

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

Edge Length of Triangular Cupola given Surface to Volume Ratio Example

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

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

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

10.3664 = \frac{(3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot (3 \cdot \sqrt{2})}{5 \cdot 0.6}

10.3664m = \frac{(3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot (3 \cdot \sqrt{2})}{5 \cdot 0.6m⁻¹}

10.3664 = \frac{(3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot (3 \cdot \sqrt{2})}{5 \cdot 0.6}

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Edge Length of Triangular Cupola given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

l e = \frac{(3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot (3 \cdot \sqrt{2})}{5 \cdot 0.6}

Next Step Evaluate

∴

l e = 10.3663650440772m

LAST Step Rounding Answer

∴

l e = 10.3664m

Edge Length of Triangular Cupola given Surface to Volume Ratio Formula Elements

Variables

Functions

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

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 Edge Length of Triangular Cupola

Go Edge Length of Triangular Cupola given Height

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

Go Edge Length of Triangular Cupola given Total Surface Area

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

Go Edge Length of Triangular Cupola given Volume

l e = {(\frac{3 \cdot \sqrt{2} \cdot V}{5})}^{\frac{1}{3}}

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

Edge Length of Triangular Cupola given Surface to Volume Ratio evaluator uses Edge Length of Triangular Cupola = ((3+(5*sqrt(3))/2)*(3*sqrt(2)))/(5*Surface to Volume Ratio of Triangular Cupola) to evaluate the Edge Length of Triangular Cupola, The Edge Length of Triangular Cupola given Surface to Volume Ratio formula is defined as the length of any edge of the Triangular Cupola and is calculated using the surface to volume ratio of the Triangular Cupola. Edge Length of Triangular Cupola is denoted by l_e symbol.

How to evaluate Edge Length of Triangular Cupola given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Edge Length 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 Edge Length of Triangular Cupola given Surface to Volume Ratio

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

The formula of Edge Length of Triangular Cupola given Surface to Volume Ratio is expressed as Edge Length of Triangular Cupola = ((3+(5*sqrt(3))/2)*(3*sqrt(2)))/(5*Surface to Volume Ratio of Triangular Cupola). Here is an example- 10.36637 = ((3+(5*sqrt(3))/2)*(3*sqrt(2)))/(5*0.6).

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

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

What are the other ways to Calculate Edge Length of Triangular Cupola?

Here are the different ways to Calculate Edge Length of Triangular Cupola-

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

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

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

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

Edge Length of Triangular Cupola given Surface to Volume Ratio is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Edge Length of Triangular Cupola given Surface to Volume Ratio can be measured.

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