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Volume of Elongated Pentagonal Pyramid given Total Surface Area Formula

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Volume of Elongated Pentagonal Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Elongated Pentagonal Pyramid. Check FAQs

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

V - Volume of Elongated Pentagonal Pyramid?TSA - Total Surface Area of Elongated Pentagonal Pyramid?

Volume of Elongated Pentagonal Pyramid given Total Surface Area Example

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

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

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

2061.175 = (\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}) \cdot {(\sqrt{\frac{900}{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5}})}^{3}

2061.175m³ = (\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}) \cdot {(\sqrt{\frac{900m²}{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5}})}^{3}

2061.175 = (\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}) \cdot {(\sqrt{\frac{900}{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5}})}^{3}

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Volume of Elongated Pentagonal Pyramid given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = (\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}) \cdot {(\sqrt{\frac{900m²}{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5}})}^{3}

Next Step Prepare to Evaluate

∴

V = (\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}) \cdot {(\sqrt{\frac{900}{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5}})}^{3}

Next Step Evaluate

∴

V = 2061.17498740285m³

LAST Step Rounding Answer

∴

V = 2061.175m³

Volume of Elongated Pentagonal Pyramid given Total Surface Area Formula Elements

Variables

Functions

Volume of Elongated Pentagonal Pyramid

Volume of Elongated Pentagonal Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Elongated Pentagonal Pyramid.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Elongated Pentagonal Pyramid

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

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 Volume of Elongated Pentagonal Pyramid

Go Volume of Elongated Pentagonal Pyramid

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

Go Volume of Elongated Pentagonal Pyramid given Height

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

Go Volume of Elongated Pentagonal Pyramid given Surface to Volume Ratio

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

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

Volume of Elongated Pentagonal Pyramid given Total Surface Area evaluator uses Volume of Elongated Pentagonal Pyramid = ((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*(sqrt(Total Surface Area of Elongated Pentagonal Pyramid/((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)))^3 to evaluate the Volume of Elongated Pentagonal Pyramid, The Volume of Elongated Pentagonal Pyramid given Total Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Elongated Pentagonal Pyramid and is calculated using the total surface area of the Elongated Pentagonal Pyramid. Volume of Elongated Pentagonal Pyramid is denoted by V symbol.

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

FAQs on Volume of Elongated Pentagonal Pyramid given Total Surface Area

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

The formula of Volume of Elongated Pentagonal Pyramid given Total Surface Area is expressed as Volume of Elongated Pentagonal Pyramid = ((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*(sqrt(Total Surface Area of Elongated Pentagonal Pyramid/((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)))^3. Here is an example- 2061.175 = ((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*(sqrt(900/((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)))^3.

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

With Total Surface Area of Elongated Pentagonal Pyramid (TSA) we can find Volume of Elongated Pentagonal Pyramid given Total Surface Area using the formula - Volume of Elongated Pentagonal Pyramid = ((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*(sqrt(Total Surface Area of Elongated Pentagonal Pyramid/((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)))^3. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Elongated Pentagonal Pyramid?

Here are the different ways to Calculate Volume of Elongated Pentagonal Pyramid-

Volume of Elongated Pentagonal Pyramid=((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*Edge Length of Elongated Pentagonal Pyramid^3
Volume of Elongated Pentagonal Pyramid=((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*(Height of Elongated Pentagonal Pyramid/(sqrt((5-sqrt(5))/10)+1))^3
Volume of Elongated Pentagonal Pyramid=((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*(((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))^3

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

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

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

Volume of Elongated Pentagonal Pyramid given Total Surface Area is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Elongated Pentagonal Pyramid given Total Surface Area can be measured.

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