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Total Height of Regular Bipyramid given Volume Formula

GoTotal Height of Regular Bipyramid Formula

GoTotal Height of Regular Bipyramid given Total Surface Area Formula

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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. Check FAQs

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

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

Total Height of Regular Bipyramid given Volume Example

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

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

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

13.5 = \frac{4 \cdot 450 \cdot \tan (\frac{3.1416}{4})}{\frac{1}{3} \cdot 4 \cdot 10^{2}}

13.5m = \frac{4 \cdot 450m³ \cdot \tan (\frac{3.1416}{4})}{\frac{1}{3} \cdot 4 \cdot {10m}^{2}}

13.5 = \frac{4 \cdot 450 \cdot \tan (\frac{3.1416}{4})}{\frac{1}{3} \cdot 4 \cdot 10^{2}}

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Total Height of Regular Bipyramid given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h Total = \frac{4 \cdot 450m³ \cdot \tan (\frac{π}{4})}{\frac{1}{3} \cdot 4 \cdot {10m}^{2}}

Next Step Substitute values of Constants

∴

h Total = \frac{4 \cdot 450m³ \cdot \tan (\frac{3.1416}{4})}{\frac{1}{3} \cdot 4 \cdot {10m}^{2}}

Next Step Prepare to Evaluate

∴

h Total = \frac{4 \cdot 450 \cdot \tan (\frac{3.1416}{4})}{\frac{1}{3} \cdot 4 \cdot 10^{2}}

LAST Step Evaluate

∴

h Total = 13.5m

Total Height of Regular Bipyramid given Volume Formula Elements

Variables

Constants

Functions

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

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

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 Total Height of Regular Bipyramid

Go Total Height of Regular Bipyramid

h Total = 2 \cdot h Half

Go Total Height of Regular Bipyramid given Total Surface Area

h Total = 2 \cdot \sqrt{{(\frac{TSA}{l e(Base) \cdot n})}^{2} - (\frac{1}{4} \cdot {l e(Base)}^{2} \cdot {(\cot (\frac{π}{n}))}^{2})}

Other formulas in Edge Length and Height of Regular Bipyramid category

Go Half Height of Regular Bipyramid

h Half = \frac{h Total}{2}

Go Half Height of Regular Bipyramid given Total Surface Area

h Half = \sqrt{{(\frac{TSA}{l e(Base) \cdot n})}^{2} - (\frac{1}{4} \cdot {l e(Base)}^{2} \cdot {(\cot (\frac{π}{n}))}^{2})}

Go Half Height of Regular Bipyramid given Volume

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

Go Edge Length of Base of Regular Bipyramid given Volume

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

How to Evaluate Total Height of Regular Bipyramid given Volume?

Total Height of Regular Bipyramid given Volume evaluator uses Total Height of Regular Bipyramid = (4*Volume of Regular Bipyramid*tan(pi/Number of Base Vertices of Regular Bipyramid))/(1/3*Number of Base Vertices of Regular Bipyramid*Edge Length of Base of Regular Bipyramid^2) to evaluate the Total Height of Regular Bipyramid, Total Height of Regular Bipyramid given Volume formula is defined as the total length of the perpendicular from the apex of one pyramid to the apex of another pyramid in the Regular Bipyramid and is calculated using the volume of the Regular Bipyramid. Total Height of Regular Bipyramid is denoted by h_Total symbol.

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

FAQs on Total Height of Regular Bipyramid given Volume

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

The formula of Total Height of Regular Bipyramid given Volume is expressed as Total Height of Regular Bipyramid = (4*Volume of Regular Bipyramid*tan(pi/Number of Base Vertices of Regular Bipyramid))/(1/3*Number of Base Vertices of Regular Bipyramid*Edge Length of Base of Regular Bipyramid^2). Here is an example- 13.5 = (4*450*tan(pi/4))/(1/3*4*10^2).

How to calculate Total Height of Regular Bipyramid given Volume?

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

What are the other ways to Calculate Total Height of Regular Bipyramid?

Here are the different ways to Calculate Total Height of Regular Bipyramid-

Total Height of Regular Bipyramid=2*Half Height of Regular Bipyramid
Total Height of Regular Bipyramid=2*sqrt((Total Surface Area of Regular Bipyramid/(Edge Length of Base of Regular Bipyramid*Number of Base Vertices of Regular Bipyramid))^2-(1/4*Edge Length of Base of Regular Bipyramid^2*(cot(pi/Number of Base Vertices of Regular Bipyramid))^2))

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

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

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

Total Height of Regular Bipyramid given Volume is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Total Height of Regular Bipyramid given Volume can be measured.

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Total Height of Regular Bipyramid given Volume Formula

​GoTotal Height of Regular Bipyramid Formula

​GoTotal Height of Regular Bipyramid given Total Surface Area Formula

Total Height of Regular Bipyramid given Volume Example

Total Height of Regular Bipyramid given Volume Solution

Total Height of Regular Bipyramid given Volume Formula Elements

Other Formulas to find Total Height of Regular Bipyramid

Other formulas in Edge Length and Height of Regular Bipyramid category

How to Evaluate Total Height of Regular Bipyramid given Volume?

FAQs on Total Height of Regular Bipyramid given Volume

Variable Name

GoTotal Height of Regular Bipyramid Formula

GoTotal Height of Regular Bipyramid given Total Surface Area Formula