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

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GoTotal Surface Area of Gyroelongated Pentagonal Pyramid given Height 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{\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}

SA_Total - TSA of Gyroelongated Pentagonal Pyramid?AV - SA:V of Gyroelongated Pentagonal Pyramid?

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

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

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

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

980.402 = \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 0.4})}^{2}

980.402m² = \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 0.4m⁻¹})}^{2}

980.402 = \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 0.4})}^{2}

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

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

FIRST Step Consider the formula

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}

Next Step Substitute values of Variables

∴

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 0.4m⁻¹})}^{2}

Next Step Prepare to Evaluate

∴

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 0.4})}^{2}

Next Step Evaluate

∴

SA Total = 980.401968476548m²

LAST Step Rounding Answer

∴

SA Total = 980.402m²

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

SA:V of Gyroelongated Pentagonal Pyramid

SA:V of Gyroelongated Pentagonal Pyramid is the numerical ratio of the total surface area of the Gyroelongated Pentagonal Pyramid to the volume of the Gyroelongated Pentagonal Pyramid.

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V 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 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}}

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

Total Surface Area of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio evaluator uses 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 to evaluate the TSA of Gyroelongated Pentagonal Pyramid, The Total Surface Area of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio 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 surface to volume ratio 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 Surface to Volume Ratio using this online evaluator? To use this online evaluator for Total Surface Area of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio, enter SA:V of Gyroelongated Pentagonal Pyramid (AV) and hit the calculate button.

FAQs on Total Surface Area of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio

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

The formula of Total Surface Area of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio is expressed as 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. Here is an example- 980.402 = ((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)*0.4))^2.

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

With SA:V of Gyroelongated Pentagonal Pyramid (AV) we can find Total Surface Area of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio using the formula - 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. 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*Edge Length of Gyroelongated Pentagonal Pyramid^2
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)

Can the Total Surface Area of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio be negative?

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

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

Total Surface Area of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio 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 Surface to Volume Ratio can be measured.

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