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Volume of Regular Bipyramid given Total Height Formula

GoVolume of Regular Bipyramid Formula

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

V = \frac{\frac{1}{3} \cdot n \cdot h Total \cdot {l e(Base)}^{2}}{4 \cdot \tan (\frac{π}{n})}

V - Volume of Regular Bipyramid?n - Number of Base Vertices of Regular Bipyramid?h_Total - Total Height of Regular Bipyramid?l_e(Base) - Edge Length of Base of Regular Bipyramid?π - Archimedes' constant?

Volume of Regular Bipyramid given Total Height Example

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

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

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

466.6667 = \frac{\frac{1}{3} \cdot 4 \cdot 14 \cdot 10^{2}}{4 \cdot \tan (\frac{3.1416}{4})}

466.6667m³ = \frac{\frac{1}{3} \cdot 4 \cdot 14m \cdot {10m}^{2}}{4 \cdot \tan (\frac{3.1416}{4})}

466.6667 = \frac{\frac{1}{3} \cdot 4 \cdot 14 \cdot 10^{2}}{4 \cdot \tan (\frac{3.1416}{4})}

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Volume of Regular Bipyramid given Total Height Solution

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

FIRST Step Consider the formula

V = \frac{\frac{1}{3} \cdot n \cdot h Total \cdot {l e(Base)}^{2}}{4 \cdot \tan (\frac{π}{n})}

Next Step Substitute values of Variables

∴

V = \frac{\frac{1}{3} \cdot 4 \cdot 14m \cdot {10m}^{2}}{4 \cdot \tan (\frac{π}{4})}

Next Step Substitute values of Constants

∴

V = \frac{\frac{1}{3} \cdot 4 \cdot 14m \cdot {10m}^{2}}{4 \cdot \tan (\frac{3.1416}{4})}

Next Step Prepare to Evaluate

∴

V = \frac{\frac{1}{3} \cdot 4 \cdot 14 \cdot 10^{2}}{4 \cdot \tan (\frac{3.1416}{4})}

Next Step Evaluate

∴

V = 466.666666666667m³

LAST Step Rounding Answer

∴

V = 466.6667m³

Volume of Regular Bipyramid given Total Height Formula Elements

Variables

Constants

Functions

Volume of Regular Bipyramid

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Regular Bipyramid

Number of Base Vertices of Regular Bipyramid

Number of Base Vertices of Regular Bipyramid are the number of base vertices of a Regular Bipyramid.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 2.99.

Formulas to find Number of Base Vertices of Regular Bipyramid

Total Height of Regular Bipyramid

Total Height of Regular Bipyramid is the total length of the perpendicular from the apex of one pyramid to the apex of another pyramid in the Regular Bipyramid.

Symbol: h_Total

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Total Height of Regular Bipyramid

Edge Length of Base of Regular Bipyramid

Edge Length of Base of Regular Bipyramid is the length of the straight line connecting any two adjacent base vertices of the Regular Bipyramid.

Symbol: l_e(Base)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Base of Regular Bipyramid

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

Other Formulas to find Volume of Regular Bipyramid

Go Volume of Regular Bipyramid

V = \frac{\frac{2}{3} \cdot n \cdot h Half \cdot {l e(Base)}^{2}}{4 \cdot \tan (\frac{π}{n})}

Other formulas in Volume and Surface to Volume Ratio of Regular Bipyramid category

Go Surface to Volume Ratio of Regular Bipyramid

R A/V = \frac{4 \cdot \tan (\frac{π}{n}) \cdot \sqrt{{h Half}^{2} + (\frac{1}{4} \cdot {l e(Base)}^{2} \cdot {(\cot (\frac{π}{n}))}^{2})}}{\frac{2}{3} \cdot l e(Base) \cdot h Half}

Go Surface to Volume Ratio of Regular Bipyramid given Total Height

R A/V = \frac{4 \cdot \tan (\frac{π}{n}) \cdot \sqrt{{(\frac{h Total}{2})}^{2} + (\frac{1}{4} \cdot {l e(Base)}^{2} \cdot {(\cot (\frac{π}{n}))}^{2})}}{\frac{1}{3} \cdot l e(Base) \cdot h Total}

How to Evaluate Volume of Regular Bipyramid given Total Height?

Volume of Regular Bipyramid given Total Height evaluator uses Volume of Regular Bipyramid = (1/3*Number of Base Vertices of Regular Bipyramid*Total Height of Regular Bipyramid*Edge Length of Base of Regular Bipyramid^2)/(4*tan(pi/Number of Base Vertices of Regular Bipyramid)) to evaluate the Volume of Regular Bipyramid, Volume of Regular Bipyramid given Total Height formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Regular Bipyramid and is calculated using the total height of the Regular Bipyramid. Volume of Regular Bipyramid is denoted by V symbol.

How to evaluate Volume of Regular Bipyramid given Total Height using this online evaluator? To use this online evaluator for Volume of Regular Bipyramid given Total Height, enter Number of Base Vertices of Regular Bipyramid (n), Total Height of Regular Bipyramid (h_Total) & Edge Length of Base of Regular Bipyramid (l_e(Base)) and hit the calculate button.

FAQs on Volume of Regular Bipyramid given Total Height

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

The formula of Volume of Regular Bipyramid given Total Height is expressed as Volume of Regular Bipyramid = (1/3*Number of Base Vertices of Regular Bipyramid*Total Height of Regular Bipyramid*Edge Length of Base of Regular Bipyramid^2)/(4*tan(pi/Number of Base Vertices of Regular Bipyramid)). Here is an example- 466.6667 = (1/3*4*14*10^2)/(4*tan(pi/4)).

How to calculate Volume of Regular Bipyramid given Total Height?

With Number of Base Vertices of Regular Bipyramid (n), Total Height of Regular Bipyramid (h_Total) & Edge Length of Base of Regular Bipyramid (l_e(Base)) we can find Volume of Regular Bipyramid given Total Height using the formula - Volume of Regular Bipyramid = (1/3*Number of Base Vertices of Regular Bipyramid*Total Height of Regular Bipyramid*Edge Length of Base of Regular Bipyramid^2)/(4*tan(pi/Number of Base Vertices of Regular Bipyramid)). This formula also uses Archimedes' constant and Tangent (tan) function(s).

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

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

Volume of Regular Bipyramid=(2/3*Number of Base Vertices of Regular Bipyramid*Half Height of Regular Bipyramid*Edge Length of Base of Regular Bipyramid^2)/(4*tan(pi/Number of Base Vertices of Regular Bipyramid))

Can the Volume of Regular Bipyramid given Total Height be negative?

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

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

Volume of Regular Bipyramid given Total 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 Regular Bipyramid given Total Height can be measured.

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Volume of Regular Bipyramid given Total Height Formula

​GoVolume of Regular Bipyramid Formula

Volume of Regular Bipyramid given Total Height Example

Volume of Regular Bipyramid given Total Height Solution

Volume of Regular Bipyramid given Total Height Formula Elements

Other Formulas to find Volume of Regular Bipyramid

Other formulas in Volume and Surface to Volume Ratio of Regular Bipyramid category

How to Evaluate Volume of Regular Bipyramid given Total Height?

FAQs on Volume of Regular Bipyramid given Total Height

Variable Name

GoVolume of Regular Bipyramid Formula