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Edge Length of Base of Regular Bipyramid given Volume Formula

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

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

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

Edge Length of Base of Regular Bipyramid given Volume Example

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Here is how the Edge Length of Base of Regular Bipyramid given Volume equation looks like with Values.

Here is how the Edge Length of Base of Regular Bipyramid given Volume equation looks like with Units.

Here is how the Edge Length of Base of Regular Bipyramid given Volume equation looks like.

9.8198 = \sqrt{\frac{4 \cdot 450 \cdot \tan (\frac{3.1416}{4})}{\frac{2}{3} \cdot 4 \cdot 7}}

9.8198m = \sqrt{\frac{4 \cdot 450m³ \cdot \tan (\frac{3.1416}{4})}{\frac{2}{3} \cdot 4 \cdot 7m}}

9.8198 = \sqrt{\frac{4 \cdot 450 \cdot \tan (\frac{3.1416}{4})}{\frac{2}{3} \cdot 4 \cdot 7}}

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Edge Length of Base of Regular Bipyramid given Volume Solution

Follow our step by step solution on how to calculate Edge Length of Base of Regular Bipyramid given Volume?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e(Base) = \sqrt{\frac{4 \cdot 450m³ \cdot \tan (\frac{π}{4})}{\frac{2}{3} \cdot 4 \cdot 7m}}

Next Step Substitute values of Constants

∴

l e(Base) = \sqrt{\frac{4 \cdot 450m³ \cdot \tan (\frac{3.1416}{4})}{\frac{2}{3} \cdot 4 \cdot 7m}}

Next Step Prepare to Evaluate

∴

l e(Base) = \sqrt{\frac{4 \cdot 450 \cdot \tan (\frac{3.1416}{4})}{\frac{2}{3} \cdot 4 \cdot 7}}

Next Step Evaluate

∴

l e(Base) = 9.81980506061966m

LAST Step Rounding Answer

∴

l e(Base) = 9.8198m

Edge Length of Base of Regular Bipyramid given Volume Formula Elements

Variables

Constants

Functions

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

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

Half Height of Regular Bipyramid

Half Height of Regular Bipyramid is the total length of the perpendicular from the apex to the base of any one of the pyramids in the Regular Bipyramid.

Symbol: h_Half

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Half Height 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)

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 in Edge Length and Height of Regular Bipyramid category

Go Total Height of Regular Bipyramid

h Total = 2 \cdot h Half

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}}

How to Evaluate Edge Length of Base of Regular Bipyramid given Volume?

Edge Length of Base of Regular Bipyramid given Volume evaluator uses Edge Length of Base of Regular Bipyramid = sqrt((4*Volume of Regular Bipyramid*tan(pi/Number of Base Vertices of Regular Bipyramid))/(2/3*Number of Base Vertices of Regular Bipyramid*Half Height of Regular Bipyramid)) to evaluate the Edge Length of Base of Regular Bipyramid, Edge Length of Base of Regular Bipyramid given Volume formula is defined as the length of the straight line connecting any two adjacent base vertices of the Regular Bipyramid and is calculated using the volume of the Regular Bipyramid. Edge Length of Base of Regular Bipyramid is denoted by l_e(Base) symbol.

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

FAQs on Edge Length of Base of Regular Bipyramid given Volume

What is the formula to find Edge Length of Base of Regular Bipyramid given Volume?

The formula of Edge Length of Base of Regular Bipyramid given Volume is expressed as Edge Length of Base of Regular Bipyramid = sqrt((4*Volume of Regular Bipyramid*tan(pi/Number of Base Vertices of Regular Bipyramid))/(2/3*Number of Base Vertices of Regular Bipyramid*Half Height of Regular Bipyramid)). Here is an example- 9.819805 = sqrt((4*450*tan(pi/4))/(2/3*4*7)).

How to calculate Edge Length of Base of Regular Bipyramid given Volume?

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

Can the Edge Length of Base of Regular Bipyramid given Volume be negative?

No, the Edge Length of Base of Regular Bipyramid given Volume, measured in Length cannot be negative.

Which unit is used to measure Edge Length of Base of Regular Bipyramid given Volume?

Edge Length of Base 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 Edge Length of Base of Regular Bipyramid given Volume can be measured.

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Edge Length of Base of Regular Bipyramid given Volume Formula

Edge Length of Base of Regular Bipyramid given Volume Example

Edge Length of Base of Regular Bipyramid given Volume Solution

Edge Length of Base of Regular Bipyramid given Volume Formula Elements

Other formulas in Edge Length and Height of Regular Bipyramid category

How to Evaluate Edge Length of Base of Regular Bipyramid given Volume?

FAQs on Edge Length of Base of Regular Bipyramid given Volume

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