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Height of Elongated Pentagonal Pyramid given Total Surface Area Formula

GoHeight of Elongated Pentagonal Pyramid Formula

GoHeight of Elongated Pentagonal Pyramid given Volume Formula

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Height of Elongated Pentagonal Pyramid is the vertical distance from the highest point to the lowest point of the Elongated Pentagonal Pyramid. Check FAQs

h = (\sqrt{\frac{5 - \sqrt{5}}{10}} + 1) \cdot \sqrt{\frac{TSA}{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5}}

h - Height of Elongated Pentagonal Pyramid?TSA - Total Surface Area of Elongated Pentagonal Pyramid?

Height of Elongated Pentagonal Pyramid given Total Surface Area Example

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Here is how the Height of Elongated Pentagonal Pyramid given Total Surface Area equation looks like with Values.

Here is how the Height of Elongated Pentagonal Pyramid given Total Surface Area equation looks like with Units.

Here is how the Height of Elongated Pentagonal Pyramid given Total Surface Area equation looks like.

15.3553 = (\sqrt{\frac{5 - \sqrt{5}}{10}} + 1) \cdot \sqrt{\frac{900}{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5}}

15.3553m = (\sqrt{\frac{5 - \sqrt{5}}{10}} + 1) \cdot \sqrt{\frac{900m²}{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5}}

15.3553 = (\sqrt{\frac{5 - \sqrt{5}}{10}} + 1) \cdot \sqrt{\frac{900}{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5}}

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Height of Elongated Pentagonal Pyramid given Total Surface Area Solution

Follow our step by step solution on how to calculate Height of Elongated Pentagonal Pyramid given Total Surface Area?

FIRST Step Consider the formula

h = (\sqrt{\frac{5 - \sqrt{5}}{10}} + 1) \cdot \sqrt{\frac{TSA}{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5}}

Next Step Substitute values of Variables

∴

h = (\sqrt{\frac{5 - \sqrt{5}}{10}} + 1) \cdot \sqrt{\frac{900m²}{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5}}

Next Step Prepare to Evaluate

∴

h = (\sqrt{\frac{5 - \sqrt{5}}{10}} + 1) \cdot \sqrt{\frac{900}{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5}}

Next Step Evaluate

∴

h = 15.3552652037683m

LAST Step Rounding Answer

∴

h = 15.3553m

Height of Elongated Pentagonal Pyramid given Total Surface Area Formula Elements

Variables

Functions

Height of Elongated Pentagonal Pyramid

Height of Elongated Pentagonal Pyramid is the vertical distance from the highest point to the lowest point of the Elongated Pentagonal Pyramid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Elongated Pentagonal Pyramid

Total Surface Area of Elongated Pentagonal Pyramid

Total Surface Area of Elongated Pentagonal Pyramid is the total amount of two-dimensional space occupied by all the faces of the Elongated Pentagonal Pyramid.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Elongated Pentagonal Pyramid

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 Height of Elongated Pentagonal Pyramid

Go Height of Elongated Pentagonal Pyramid

h = (\sqrt{\frac{5 - \sqrt{5}}{10}} + 1) \cdot l e

Go Height of Elongated Pentagonal Pyramid given Volume

h = (\sqrt{\frac{5 - \sqrt{5}}{10}} + 1) \cdot {(\frac{V}{\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}})}^{\frac{1}{3}}

Go Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio

h = (\sqrt{\frac{5 - \sqrt{5}}{10}} + 1) \cdot \frac{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5}{(\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}) \cdot AV}

How to Evaluate Height of Elongated Pentagonal Pyramid given Total Surface Area?

Height of Elongated Pentagonal Pyramid given Total Surface Area evaluator uses Height of Elongated Pentagonal Pyramid = (sqrt((5-sqrt(5))/10)+1)*sqrt(Total Surface Area of Elongated Pentagonal Pyramid/((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)) to evaluate the Height of Elongated Pentagonal Pyramid, The Height of Elongated Pentagonal Pyramid given Total Surface Area formula is defined as the vertical distance from the highest point to the lowest point of the Elongated Pentagonal Pyramid and is calculated using the total surface area of the Elongated Pentagonal Pyramid. Height of Elongated Pentagonal Pyramid is denoted by h symbol.

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

FAQs on Height of Elongated Pentagonal Pyramid given Total Surface Area

What is the formula to find Height of Elongated Pentagonal Pyramid given Total Surface Area?

The formula of Height of Elongated Pentagonal Pyramid given Total Surface Area is expressed as Height of Elongated Pentagonal Pyramid = (sqrt((5-sqrt(5))/10)+1)*sqrt(Total Surface Area of Elongated Pentagonal Pyramid/((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)). Here is an example- 15.35527 = (sqrt((5-sqrt(5))/10)+1)*sqrt(900/((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)).

How to calculate Height of Elongated Pentagonal Pyramid given Total Surface Area?

With Total Surface Area of Elongated Pentagonal Pyramid (TSA) we can find Height of Elongated Pentagonal Pyramid given Total Surface Area using the formula - Height of Elongated Pentagonal Pyramid = (sqrt((5-sqrt(5))/10)+1)*sqrt(Total Surface Area of Elongated Pentagonal Pyramid/((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Height of Elongated Pentagonal Pyramid?

Here are the different ways to Calculate Height of Elongated Pentagonal Pyramid-

Height of Elongated Pentagonal Pyramid=(sqrt((5-sqrt(5))/10)+1)*Edge Length of Elongated Pentagonal Pyramid
Height of Elongated Pentagonal Pyramid=(sqrt((5-sqrt(5))/10)+1)*(Volume of Elongated Pentagonal Pyramid/((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4))^(1/3)
Height of Elongated Pentagonal Pyramid=(sqrt((5-sqrt(5))/10)+1)*((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*SA:V of Elongated Pentagonal Pyramid)

Can the Height of Elongated Pentagonal Pyramid given Total Surface Area be negative?

No, the Height of Elongated Pentagonal Pyramid given Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Height of Elongated Pentagonal Pyramid given Total Surface Area?

Height of Elongated Pentagonal Pyramid 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 Height of Elongated Pentagonal Pyramid given Total Surface Area can be measured.

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