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Edge Length of Pentagonal Cupola given Total Surface Area Formula

GoEdge Length of Pentagonal Cupola given Height Formula

GoEdge Length of Pentagonal Cupola given Volume Formula

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

l e = \sqrt{\frac{TSA}{\frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))})}}

l_e - Edge Length of Pentagonal Cupola?TSA - Total Surface Area of Pentagonal Cupola?

Edge Length of Pentagonal Cupola given Total Surface Area Example

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Here is how the Edge Length of Pentagonal Cupola given Total Surface Area equation looks like with Values.

Here is how the Edge Length of Pentagonal Cupola given Total Surface Area equation looks like with Units.

Here is how the Edge Length of Pentagonal Cupola given Total Surface Area equation looks like.

10.0061 = \sqrt{\frac{1660}{\frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))})}}

10.0061m = \sqrt{\frac{1660m²}{\frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))})}}

10.0061 = \sqrt{\frac{1660}{\frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))})}}

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Edge Length of Pentagonal Cupola given Total Surface Area Solution

Follow our step by step solution on how to calculate Edge Length of Pentagonal Cupola given Total Surface Area?

FIRST Step Consider the formula

l e = \sqrt{\frac{TSA}{\frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))})}}

Next Step Substitute values of Variables

∴

l e = \sqrt{\frac{1660m²}{\frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))})}}

Next Step Prepare to Evaluate

∴

l e = \sqrt{\frac{1660}{\frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))})}}

Next Step Evaluate

∴

l e = 10.0061050582044m

LAST Step Rounding Answer

∴

l e = 10.0061m

Edge Length of Pentagonal Cupola given Total Surface Area Formula Elements

Variables

Functions

Edge Length of Pentagonal Cupola

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

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Pentagonal Cupola

Total Surface Area of Pentagonal Cupola

Total Surface Area of Pentagonal Cupola is the total amount of 2D space occupied by all the faces of the Pentagonal Cupola.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Pentagonal 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 Pentagonal Cupola

Go Edge Length of Pentagonal Cupola given Height

l e = \frac{h}{\sqrt{1 - (\frac{1}{4} \cdot \cos e c {(\frac{π}{5})}^{2})}}

Go Edge Length of Pentagonal Cupola given Volume

l e = {(\frac{V}{\frac{1}{6} \cdot (5 + (4 \cdot \sqrt{5}))})}^{\frac{1}{3}}

Go Edge Length of Pentagonal Cupola given Surface to Volume Ratio

l e = \frac{\frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))})}{\frac{1}{6} \cdot (5 + (4 \cdot \sqrt{5})) \cdot R A/V}

How to Evaluate Edge Length of Pentagonal Cupola given Total Surface Area?

Edge Length of Pentagonal Cupola given Total Surface Area evaluator uses Edge Length of Pentagonal Cupola = sqrt(Total Surface Area of Pentagonal Cupola/(1/4*(20+(5*sqrt(3))+sqrt(5*(145+(62*sqrt(5))))))) to evaluate the Edge Length of Pentagonal Cupola, The Edge Length of Pentagonal Cupola given Total Surface Area formula is defined as the length of any edge of the Pentagonal Cupola and is calculated using the total surface area of the Pentagonal Cupola. Edge Length of Pentagonal Cupola is denoted by l_e symbol.

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

FAQs on Edge Length of Pentagonal Cupola given Total Surface Area

What is the formula to find Edge Length of Pentagonal Cupola given Total Surface Area?

The formula of Edge Length of Pentagonal Cupola given Total Surface Area is expressed as Edge Length of Pentagonal Cupola = sqrt(Total Surface Area of Pentagonal Cupola/(1/4*(20+(5*sqrt(3))+sqrt(5*(145+(62*sqrt(5))))))). Here is an example- 10.00611 = sqrt(1660/(1/4*(20+(5*sqrt(3))+sqrt(5*(145+(62*sqrt(5))))))).

How to calculate Edge Length of Pentagonal Cupola given Total Surface Area?

With Total Surface Area of Pentagonal Cupola (TSA) we can find Edge Length of Pentagonal Cupola given Total Surface Area using the formula - Edge Length of Pentagonal Cupola = sqrt(Total Surface Area of Pentagonal Cupola/(1/4*(20+(5*sqrt(3))+sqrt(5*(145+(62*sqrt(5))))))). This formula also uses Square Root (sqrt) function(s).

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

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

Edge Length of Pentagonal Cupola=Height of Pentagonal Cupola/sqrt(1-(1/4*cosec(pi/5)^2))
Edge Length of Pentagonal Cupola=(Volume of Pentagonal Cupola/(1/6*(5+(4*sqrt(5)))))^(1/3)
Edge Length of Pentagonal Cupola=(1/4*(20+(5*sqrt(3))+sqrt(5*(145+(62*sqrt(5))))))/(1/6*(5+(4*sqrt(5)))*Surface to Volume Ratio of Pentagonal Cupola)

Can the Edge Length of Pentagonal Cupola given Total Surface Area be negative?

No, the Edge Length of Pentagonal Cupola given Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Edge Length of Pentagonal Cupola given Total Surface Area?

Edge Length of Pentagonal Cupola given Total Surface Area 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 Pentagonal Cupola given Total Surface Area can be measured.

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