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Total Surface Area of Elongated Pentagonal Pyramid given Height Formula

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GoTotal Surface Area of Elongated Pentagonal Pyramid given Volume Formula

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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. Check FAQs

TSA = (\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5) \cdot {(\frac{h}{\sqrt{\frac{5 - \sqrt{5}}{10}} + 1})}^{2}

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

Total Surface Area of Elongated Pentagonal Pyramid given Height Example

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

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

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

858.8363 = (\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5) \cdot {(\frac{15}{\sqrt{\frac{5 - \sqrt{5}}{10}} + 1})}^{2}

858.8363m² = (\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5) \cdot {(\frac{15m}{\sqrt{\frac{5 - \sqrt{5}}{10}} + 1})}^{2}

858.8363 = (\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5) \cdot {(\frac{15}{\sqrt{\frac{5 - \sqrt{5}}{10}} + 1})}^{2}

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Total Surface Area of Elongated Pentagonal Pyramid given Height Solution

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

FIRST Step Consider the formula

TSA = (\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5) \cdot {(\frac{h}{\sqrt{\frac{5 - \sqrt{5}}{10}} + 1})}^{2}

Next Step Substitute values of Variables

∴

TSA = (\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5) \cdot {(\frac{15m}{\sqrt{\frac{5 - \sqrt{5}}{10}} + 1})}^{2}

Next Step Prepare to Evaluate

∴

TSA = (\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5) \cdot {(\frac{15}{\sqrt{\frac{5 - \sqrt{5}}{10}} + 1})}^{2}

Next Step Evaluate

∴

TSA = 858.83628425209m²

LAST Step Rounding Answer

∴

TSA = 858.8363m²

Total Surface Area of Elongated Pentagonal Pyramid given Height Formula Elements

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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

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

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 Total Surface Area of Elongated Pentagonal Pyramid

Go Total Surface Area of Elongated Pentagonal Pyramid

TSA = (\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5) \cdot {l e}^{2}

Go Total Surface Area of Elongated Pentagonal Pyramid given Volume

TSA = (\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5) \cdot {(\frac{V}{\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}})}^{\frac{2}{3}}

Go Total Surface Area of Elongated Pentagonal Pyramid given Surface to Volume Ratio

TSA = (\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5) \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})}^{2}

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

Total Surface Area of Elongated Pentagonal Pyramid given Height evaluator uses Total Surface Area of Elongated Pentagonal Pyramid = ((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)*(Height of Elongated Pentagonal Pyramid/(sqrt((5-sqrt(5))/10)+1))^2 to evaluate the Total Surface Area of Elongated Pentagonal Pyramid, The Total Surface Area of Elongated Pentagonal Pyramid given Height formula is defined as the total amount of two-dimensional space occupied by all the faces of the Elongated Pentagonal Pyramid and is calculated using the height of the Elongated Pentagonal Pyramid. Total Surface Area of Elongated Pentagonal Pyramid is denoted by TSA symbol.

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

FAQs on Total Surface Area of Elongated Pentagonal Pyramid given Height

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

The formula of Total Surface Area of Elongated Pentagonal Pyramid given Height is expressed as Total Surface Area of Elongated Pentagonal Pyramid = ((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)*(Height of Elongated Pentagonal Pyramid/(sqrt((5-sqrt(5))/10)+1))^2. Here is an example- 858.8363 = ((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)*(15/(sqrt((5-sqrt(5))/10)+1))^2.

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

With Height of Elongated Pentagonal Pyramid (h) we can find Total Surface Area of Elongated Pentagonal Pyramid given Height using the formula - Total Surface Area of Elongated Pentagonal Pyramid = ((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)*(Height of Elongated Pentagonal Pyramid/(sqrt((5-sqrt(5))/10)+1))^2. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Total Surface Area of Elongated Pentagonal Pyramid?

Here are the different ways to Calculate Total Surface Area of Elongated Pentagonal Pyramid-

Total Surface Area of Elongated Pentagonal Pyramid=((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)*Edge Length of Elongated Pentagonal Pyramid^2
Total Surface Area of Elongated Pentagonal Pyramid=((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)*(Volume of Elongated Pentagonal Pyramid/((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4))^(2/3)
Total Surface Area of Elongated Pentagonal Pyramid=((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)*(((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))^2

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

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

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

Total Surface Area of Elongated Pentagonal Pyramid given Height is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Total Surface Area of Elongated Pentagonal Pyramid given Height can be measured.

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