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Total Surface Area of Gyroelongated Pentagonal Pyramid Formula

GoTotal Surface Area of Gyroelongated Pentagonal Pyramid given Height 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 {l e}^{2}

SA_Total - TSA of Gyroelongated Pentagonal Pyramid?l_e - Edge Length of Gyroelongated Pentagonal Pyramid?

Total Surface Area of Gyroelongated Pentagonal Pyramid Example

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

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

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

821.5668 = \frac{(15 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})}}{4} \cdot 10^{2}

821.5668m² = \frac{(15 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})}}{4} \cdot {10m}^{2}

821.5668 = \frac{(15 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})}}{4} \cdot 10^{2}

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Total Surface Area of Gyroelongated Pentagonal Pyramid Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

SA Total = 821.566792897226m²

LAST Step Rounding Answer

∴

SA Total = 821.5668m²

Total Surface Area of Gyroelongated Pentagonal Pyramid Formula Elements

Variables

Functions

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

Edge Length of Gyroelongated Pentagonal Pyramid

Edge Length of Gyroelongated Pentagonal Pyramid is the length of any edge of the Gyroelongated Pentagonal Pyramid.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length 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 given Height

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}

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?

Total Surface Area of Gyroelongated Pentagonal Pyramid evaluator uses TSA of Gyroelongated Pentagonal Pyramid = ((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4*Edge Length of Gyroelongated Pentagonal Pyramid^2 to evaluate the TSA of Gyroelongated Pentagonal Pyramid, The Total Surface Area of Gyroelongated Pentagonal Pyramid formula is defined as the total amount of two-dimensional space occupied by all the faces 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 using this online evaluator? To use this online evaluator for Total Surface Area of Gyroelongated Pentagonal Pyramid, enter Edge Length of Gyroelongated Pentagonal Pyramid (l_e) and hit the calculate button.

FAQs on Total Surface Area of Gyroelongated Pentagonal Pyramid

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

The formula of Total Surface Area of Gyroelongated Pentagonal Pyramid is expressed as TSA of Gyroelongated Pentagonal Pyramid = ((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4*Edge Length of Gyroelongated Pentagonal Pyramid^2. Here is an example- 821.5668 = ((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4*10^2.

How to calculate Total Surface Area of Gyroelongated Pentagonal Pyramid?

With Edge Length of Gyroelongated Pentagonal Pyramid (l_e) we can find Total Surface Area of Gyroelongated Pentagonal Pyramid using the formula - TSA of Gyroelongated Pentagonal Pyramid = ((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4*Edge Length of Gyroelongated Pentagonal Pyramid^2. This formula also uses Square Root (sqrt) 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*(Height of Gyroelongated Pentagonal Pyramid/(sqrt(1-4/(10+(2*sqrt(5))))+sqrt((5-sqrt(5))/10)))^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 be negative?

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

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

Total Surface Area of Gyroelongated Pentagonal Pyramid 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 can be measured.

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