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Volume of Pentagonal Bipyramid given Total Surface Area Formula

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

V = \frac{5 + \sqrt{5}}{12} \cdot {(\sqrt{\frac{2 \cdot TSA}{5 \cdot \sqrt{3}}})}^{3}

V - Volume of Pentagonal Bipyramid?TSA - Total Surface Area of Pentagonal Bipyramid?

Volume of Pentagonal Bipyramid given Total Surface Area Example

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

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

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

596.7235 = \frac{5 + \sqrt{5}}{12} \cdot {(\sqrt{\frac{2 \cdot 430}{5 \cdot \sqrt{3}}})}^{3}

596.7235m³ = \frac{5 + \sqrt{5}}{12} \cdot {(\sqrt{\frac{2 \cdot 430m²}{5 \cdot \sqrt{3}}})}^{3}

596.7235 = \frac{5 + \sqrt{5}}{12} \cdot {(\sqrt{\frac{2 \cdot 430}{5 \cdot \sqrt{3}}})}^{3}

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Volume of Pentagonal Bipyramid given Total Surface Area Solution

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

FIRST Step Consider the formula

V = \frac{5 + \sqrt{5}}{12} \cdot {(\sqrt{\frac{2 \cdot TSA}{5 \cdot \sqrt{3}}})}^{3}

Next Step Substitute values of Variables

∴

V = \frac{5 + \sqrt{5}}{12} \cdot {(\sqrt{\frac{2 \cdot 430m²}{5 \cdot \sqrt{3}}})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{5 + \sqrt{5}}{12} \cdot {(\sqrt{\frac{2 \cdot 430}{5 \cdot \sqrt{3}}})}^{3}

Next Step Evaluate

∴

V = 596.72347239586m³

LAST Step Rounding Answer

∴

V = 596.7235m³

Volume of Pentagonal Bipyramid given Total Surface Area Formula Elements

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Volume of Pentagonal Bipyramid

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Pentagonal Bipyramid

Total Surface Area of Pentagonal Bipyramid

Total Surface Area of Pentagonal Bipyramid is the total amount of two dimensional space occupied by all the faces of the Pentagonal Bipyramid.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Pentagonal Bipyramid

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 Pentagonal Bipyramid

Go Volume of Pentagonal Bipyramid

V = \frac{5 + \sqrt{5}}{12} \cdot {l e}^{3}

Go Volume of Pentagonal Bipyramid given Height

V = \frac{5 + \sqrt{5}}{12} \cdot {(\frac{h}{2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}})}^{3}

Go Volume of Pentagonal Bipyramid given Surface to Volume Ratio

V = \frac{5 + \sqrt{5}}{12} \cdot {(\frac{\frac{5 \cdot \sqrt{3}}{2}}{\frac{5 + \sqrt{5}}{12} \cdot R A/V})}^{3}

How to Evaluate Volume of Pentagonal Bipyramid given Total Surface Area?

Volume of Pentagonal Bipyramid given Total Surface Area evaluator uses Volume of Pentagonal Bipyramid = (5+sqrt(5))/12*(sqrt((2*Total Surface Area of Pentagonal Bipyramid)/(5*sqrt(3))))^3 to evaluate the Volume of Pentagonal Bipyramid, The Volume of Pentagonal Bipyramid given Total Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Pentagonal Bipyramid and is calculated using the total surface area of the Pentagonal Bipyramid. Volume of Pentagonal Bipyramid is denoted by V symbol.

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

FAQs on Volume of Pentagonal Bipyramid given Total Surface Area

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

The formula of Volume of Pentagonal Bipyramid given Total Surface Area is expressed as Volume of Pentagonal Bipyramid = (5+sqrt(5))/12*(sqrt((2*Total Surface Area of Pentagonal Bipyramid)/(5*sqrt(3))))^3. Here is an example- 596.7235 = (5+sqrt(5))/12*(sqrt((2*430)/(5*sqrt(3))))^3.

How to calculate Volume of Pentagonal Bipyramid given Total Surface Area?

With Total Surface Area of Pentagonal Bipyramid (TSA) we can find Volume of Pentagonal Bipyramid given Total Surface Area using the formula - Volume of Pentagonal Bipyramid = (5+sqrt(5))/12*(sqrt((2*Total Surface Area of Pentagonal Bipyramid)/(5*sqrt(3))))^3. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Pentagonal Bipyramid?

Here are the different ways to Calculate Volume of Pentagonal Bipyramid-

Volume of Pentagonal Bipyramid=(5+sqrt(5))/12*Edge Length of Pentagonal Bipyramid^3
Volume of Pentagonal Bipyramid=(5+sqrt(5))/12*(Height of Pentagonal Bipyramid/(2*sqrt((5-sqrt(5))/10)))^3
Volume of Pentagonal Bipyramid=(5+sqrt(5))/12*(((5*sqrt(3))/2)/((5+sqrt(5))/12*Surface to Volume Ratio of Pentagonal Bipyramid))^3

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

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

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

Volume of Pentagonal Bipyramid 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 Pentagonal Bipyramid given Total Surface Area can be measured.

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