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Edge Length of Triangular Cupola given Height Formula

GoEdge Length of Triangular Cupola given Total Surface Area Formula

GoEdge Length of Triangular Cupola given Volume 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{h}{\sqrt{1 - (\frac{1}{4} \cdot \cos e c {(\frac{π}{3})}^{2})}}

l_e - Edge Length of Triangular Cupola?h - Height of Triangular Cupola?π - Archimedes' constant?

Edge Length of Triangular Cupola given Height Example

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Here is how the Edge Length of Triangular Cupola given Height equation looks like with Values.

Here is how the Edge Length of Triangular Cupola given Height equation looks like with Units.

Here is how the Edge Length of Triangular Cupola given Height equation looks like.

9.798 = \frac{8}{\sqrt{1 - (\frac{1}{4} \cdot \cos e c {(\frac{3.1416}{3})}^{2})}}

9.798m = \frac{8m}{\sqrt{1 - (\frac{1}{4} \cdot \cos e c {(\frac{3.1416}{3})}^{2})}}

9.798 = \frac{8}{\sqrt{1 - (\frac{1}{4} \cdot \cos e c {(\frac{3.1416}{3})}^{2})}}

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Edge Length of Triangular Cupola given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = \frac{8m}{\sqrt{1 - (\frac{1}{4} \cdot \cos e c {(\frac{π}{3})}^{2})}}

Next Step Substitute values of Constants

∴

l e = \frac{8m}{\sqrt{1 - (\frac{1}{4} \cdot \cos e c {(\frac{3.1416}{3})}^{2})}}

Next Step Prepare to Evaluate

∴

l e = \frac{8}{\sqrt{1 - (\frac{1}{4} \cdot \cos e c {(\frac{3.1416}{3})}^{2})}}

Next Step Evaluate

∴

l e = 9.79795897113271m

LAST Step Rounding Answer

∴

l e = 9.798m

Edge Length of Triangular Cupola given Height Formula Elements

Variables

Constants

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

Height of Triangular Cupola

Height of Triangular Cupola is the vertical distance from the triangular face to the opposite hexagonal face of the Triangular Cupola.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Triangular Cupola

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

sec

Secant is a trigonometric function that is defined ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine.

Syntax: sec(Angle)

cosec

The cosecant function is a trigonometric function that is the reciprocal of the sine function.

Syntax: cosec(Angle)

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 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}}

Go Edge Length of Triangular Cupola given Surface to Volume Ratio

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

How to Evaluate Edge Length of Triangular Cupola given Height?

Edge Length of Triangular Cupola given Height evaluator uses Edge Length of Triangular Cupola = Height of Triangular Cupola/sqrt(1-(1/4*cosec(pi/3)^(2))) to evaluate the Edge Length of Triangular Cupola, The Edge Length of Triangular Cupola given Height formula is defined as the length of any edge of the Triangular Cupola and is calculated using the height of the Triangular Cupola. Edge Length of Triangular Cupola is denoted by l_e symbol.

How to evaluate Edge Length of Triangular Cupola given Height using this online evaluator? To use this online evaluator for Edge Length of Triangular Cupola given Height, enter Height of Triangular Cupola (h) and hit the calculate button.

FAQs on Edge Length of Triangular Cupola given Height

What is the formula to find Edge Length of Triangular Cupola given Height?

The formula of Edge Length of Triangular Cupola given Height is expressed as Edge Length of Triangular Cupola = Height of Triangular Cupola/sqrt(1-(1/4*cosec(pi/3)^(2))). Here is an example- 9.797959 = 8/sqrt(1-(1/4*cosec(pi/3)^(2))).

How to calculate Edge Length of Triangular Cupola given Height?

With Height of Triangular Cupola (h) we can find Edge Length of Triangular Cupola given Height using the formula - Edge Length of Triangular Cupola = Height of Triangular Cupola/sqrt(1-(1/4*cosec(pi/3)^(2))). This formula also uses Archimedes' constant and , Secant (sec), Cosecant (cosec), 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=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)
Edge Length of Triangular Cupola=((3+(5*sqrt(3))/2)*(3*sqrt(2)))/(5*Surface to Volume Ratio of Triangular Cupola)

Can the Edge Length of Triangular Cupola given Height be negative?

No, the Edge Length of Triangular Cupola given Height, measured in Length cannot be negative.

Which unit is used to measure Edge Length of Triangular Cupola given Height?

Edge Length of Triangular Cupola given Height 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 Height can be measured.

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