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Total Surface Area of Gyroelongated Pentagonal Pyramid given Height Formula

GoTotal Surface Area of Gyroelongated Pentagonal Pyramid Formula

GoTotal Surface Area of Gyroelongated Pentagonal Pyramid given Volume Formula

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TSA of Gyroelongated Pentagonal Pyramid is the total amount of two-dimensional space occupied by all the faces of the Gyroelongated Pentagonal Pyramid. Check FAQs

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

SA_Total - TSA of Gyroelongated Pentagonal Pyramid?h - Height of Gyroelongated Pentagonal Pyramid?

Total Surface Area of Gyroelongated Pentagonal Pyramid given Height Example

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

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

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

850.0041 = \frac{(15 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})}}{4} \cdot {(\frac{14}{\sqrt{1 - \frac{4}{10 + (2 \cdot \sqrt{5})}} + \sqrt{\frac{5 - \sqrt{5}}{10}}})}^{2}

850.0041m² = \frac{(15 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})}}{4} \cdot {(\frac{14m}{\sqrt{1 - \frac{4}{10 + (2 \cdot \sqrt{5})}} + \sqrt{\frac{5 - \sqrt{5}}{10}}})}^{2}

850.0041 = \frac{(15 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})}}{4} \cdot {(\frac{14}{\sqrt{1 - \frac{4}{10 + (2 \cdot \sqrt{5})}} + \sqrt{\frac{5 - \sqrt{5}}{10}}})}^{2}

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Total Surface Area of Gyroelongated Pentagonal Pyramid given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

SA Total = \frac{(15 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})}}{4} \cdot {(\frac{14m}{\sqrt{1 - \frac{4}{10 + (2 \cdot \sqrt{5})}} + \sqrt{\frac{5 - \sqrt{5}}{10}}})}^{2}

Next Step Prepare to Evaluate

∴

SA Total = \frac{(15 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})}}{4} \cdot {(\frac{14}{\sqrt{1 - \frac{4}{10 + (2 \cdot \sqrt{5})}} + \sqrt{\frac{5 - \sqrt{5}}{10}}})}^{2}

Next Step Evaluate

∴

SA Total = 850.004118252035m²

LAST Step Rounding Answer

∴

SA Total = 850.0041m²

Total Surface Area of Gyroelongated Pentagonal Pyramid given Height Formula Elements

Variables

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TSA of Gyroelongated Pentagonal Pyramid

TSA of Gyroelongated Pentagonal Pyramid is the total amount of two-dimensional space occupied by all the faces of the Gyroelongated Pentagonal Pyramid.

Symbol: SA_Total

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find TSA of Gyroelongated Pentagonal Pyramid

Height of Gyroelongated Pentagonal Pyramid

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

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Gyroelongated 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 TSA of Gyroelongated Pentagonal Pyramid

Go Total Surface Area of Gyroelongated Pentagonal Pyramid

SA Total = \frac{(15 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})}}{4} \cdot {l e}^{2}

Go Total Surface Area of Gyroelongated Pentagonal Pyramid given Volume

SA Total = \frac{(15 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})}}{4} \cdot {(\frac{V}{\frac{5 \cdot (\sqrt{5} + 1) \cdot \sqrt{\frac{10 + (2 \cdot \sqrt{5})}{4} - 1}}{3 \cdot (10 - (2 \cdot \sqrt{5}))} + \frac{5 + \sqrt{5}}{24}})}^{\frac{2}{3}}

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

SA Total = \frac{(15 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})}}{4} \cdot {(\frac{\frac{(15 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})}}{4}}{(\frac{5 \cdot (\sqrt{5} + 1) \cdot \sqrt{\frac{10 + (2 \cdot \sqrt{5})}{4} - 1}}{3 \cdot (10 - (2 \cdot \sqrt{5}))} + \frac{5 + \sqrt{5}}{24}) \cdot AV})}^{2}

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

Total Surface Area of Gyroelongated Pentagonal Pyramid given Height evaluator uses TSA of Gyroelongated Pentagonal Pyramid = ((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4*(Height of Gyroelongated Pentagonal Pyramid/(sqrt(1-4/(10+(2*sqrt(5))))+sqrt((5-sqrt(5))/10)))^2 to evaluate the TSA of Gyroelongated Pentagonal Pyramid, The Total Surface Area of Gyroelongated Pentagonal Pyramid given Height formula is defined as the total amount of two-dimensional space occupied by all the faces of the Gyroelongated Pentagonal Pyramid and is calculated using the height of the Gyroelongated Pentagonal Pyramid. TSA of Gyroelongated Pentagonal Pyramid is denoted by SA_Total symbol.

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

FAQs on Total Surface Area of Gyroelongated Pentagonal Pyramid given Height

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

The formula of Total Surface Area of Gyroelongated Pentagonal Pyramid given Height is expressed as TSA of Gyroelongated Pentagonal Pyramid = ((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4*(Height of Gyroelongated Pentagonal Pyramid/(sqrt(1-4/(10+(2*sqrt(5))))+sqrt((5-sqrt(5))/10)))^2. Here is an example- 850.0041 = ((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4*(14/(sqrt(1-4/(10+(2*sqrt(5))))+sqrt((5-sqrt(5))/10)))^2.

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

With Height of Gyroelongated Pentagonal Pyramid (h) we can find Total Surface Area of Gyroelongated Pentagonal Pyramid given Height using the formula - TSA of Gyroelongated Pentagonal Pyramid = ((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4*(Height of Gyroelongated Pentagonal Pyramid/(sqrt(1-4/(10+(2*sqrt(5))))+sqrt((5-sqrt(5))/10)))^2. This formula also uses Square Root Function function(s).

What are the other ways to Calculate TSA of Gyroelongated Pentagonal Pyramid?

Here are the different ways to Calculate TSA of Gyroelongated Pentagonal Pyramid-

TSA of Gyroelongated Pentagonal Pyramid=((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4*Edge Length of Gyroelongated Pentagonal Pyramid^2
TSA of Gyroelongated Pentagonal Pyramid=((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4*(Volume of Gyroelongated Pentagonal Pyramid/((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24))^(2/3)
TSA of Gyroelongated Pentagonal Pyramid=((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4*((((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4)/(((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24)*SA:V of Gyroelongated Pentagonal Pyramid))^2

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

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

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

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

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