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Volume of Pentagonal Bipyramid given Height Formula

GoVolume of Pentagonal Bipyramid Formula

GoVolume 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 {(\frac{h}{2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}})}^{3}

V - Volume of Pentagonal Bipyramid?h - Height of Pentagonal Bipyramid?

Volume of Pentagonal Bipyramid given Height Example

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Here is how the Volume of Pentagonal Bipyramid given Height equation looks like with Values.

Here is how the Volume of Pentagonal Bipyramid given Height equation looks like with Units.

Here is how the Volume of Pentagonal Bipyramid given Height equation looks like.

690.428 = \frac{5 + \sqrt{5}}{12} \cdot {(\frac{11}{2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}})}^{3}

690.428m³ = \frac{5 + \sqrt{5}}{12} \cdot {(\frac{11m}{2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}})}^{3}

690.428 = \frac{5 + \sqrt{5}}{12} \cdot {(\frac{11}{2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}})}^{3}

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Volume of Pentagonal Bipyramid given Height Solution

Follow our step by step solution on how to calculate Volume of Pentagonal Bipyramid given Height?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{5 + \sqrt{5}}{12} \cdot {(\frac{11m}{2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{5 + \sqrt{5}}{12} \cdot {(\frac{11}{2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}})}^{3}

Next Step Evaluate

∴

V = 690.428045245621m³

LAST Step Rounding Answer

∴

V = 690.428m³

Volume of Pentagonal Bipyramid given Height Formula Elements

Variables

Functions

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

Height of Pentagonal Bipyramid

Height of Pentagonal Bipyramid is the vertical distance from the highest point to the lowest point of the Pentagonal Bipyramid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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 Total Surface Area

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

Volume of Pentagonal Bipyramid given Height evaluator uses Volume of Pentagonal Bipyramid = (5+sqrt(5))/12*(Height of Pentagonal Bipyramid/(2*sqrt((5-sqrt(5))/10)))^3 to evaluate the Volume of Pentagonal Bipyramid, The Volume of Pentagonal Bipyramid given Height formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Pentagonal Bipyramid and is calculated using the height of the Pentagonal Bipyramid. Volume of Pentagonal Bipyramid is denoted by V symbol.

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

FAQs on Volume of Pentagonal Bipyramid given Height

What is the formula to find Volume of Pentagonal Bipyramid given Height?

The formula of Volume of Pentagonal Bipyramid given Height is expressed as Volume of Pentagonal Bipyramid = (5+sqrt(5))/12*(Height of Pentagonal Bipyramid/(2*sqrt((5-sqrt(5))/10)))^3. Here is an example- 690.428 = (5+sqrt(5))/12*(11/(2*sqrt((5-sqrt(5))/10)))^3.

How to calculate Volume of Pentagonal Bipyramid given Height?

With Height of Pentagonal Bipyramid (h) we can find Volume of Pentagonal Bipyramid given Height using the formula - Volume of Pentagonal Bipyramid = (5+sqrt(5))/12*(Height of Pentagonal Bipyramid/(2*sqrt((5-sqrt(5))/10)))^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*(sqrt((2*Total Surface Area of Pentagonal Bipyramid)/(5*sqrt(3))))^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 Height be negative?

No, the Volume of Pentagonal Bipyramid given Height, measured in Volume cannot be negative.

Which unit is used to measure Volume of Pentagonal Bipyramid given Height?

Volume of Pentagonal Bipyramid given Height 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 Height can be measured.

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