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Total Surface Area of Elongated Pentagonal Pyramid given Surface to Volume Ratio 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{\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}

TSA - Total Surface Area of Elongated Pentagonal Pyramid?AV - SA:V of Elongated Pentagonal Pyramid?

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

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

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

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

1072.4519 = (\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 0.4})}^{2}

1072.4519m² = (\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 0.4m⁻¹})}^{2}

1072.4519 = (\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 0.4})}^{2}

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

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

FIRST Step Consider the formula

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}

Next Step Substitute values of Variables

∴

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 0.4m⁻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{\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 0.4})}^{2}

Next Step Evaluate

∴

TSA = 1072.45188883131m²

LAST Step Rounding Answer

∴

TSA = 1072.4519m²

Total Surface Area of Elongated Pentagonal Pyramid given Surface to Volume Ratio Formula Elements

Variables

Functions

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

SA:V of Elongated Pentagonal Pyramid

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

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V 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 Height

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}

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}}

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

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

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

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

The formula of Total Surface Area of Elongated Pentagonal Pyramid given Surface to Volume Ratio is expressed as 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. Here is an example- 1072.452 = ((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)*0.4))^2.

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

With SA:V of Elongated Pentagonal Pyramid (AV) we can find Total Surface Area of Elongated Pentagonal Pyramid given Surface to Volume Ratio using the formula - 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. 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)*(Height of Elongated Pentagonal Pyramid/(sqrt((5-sqrt(5))/10)+1))^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)

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

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

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

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

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