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Half Height of Regular Bipyramid given Total Surface Area Formula

GoHalf Height of Regular Bipyramid Formula

GoHalf Height of Regular Bipyramid given Volume Formula

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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. Check FAQs

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})}

h_Half - Half Height of Regular Bipyramid?TSA - Total Surface Area of Regular Bipyramid?l_e(Base) - Edge Length of Base of Regular Bipyramid?n - Number of Base Vertices of Regular Bipyramid?π - Archimedes' constant?

Half Height of Regular Bipyramid given Total Surface Area Example

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

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

Here is how the Half Height of Regular Bipyramid given Total Surface Area equation looks like.

7.1807 = \sqrt{{(\frac{350}{10 \cdot 4})}^{2} - (\frac{1}{4} \cdot 10^{2} \cdot {(\cot (\frac{3.1416}{4}))}^{2})}

7.1807m = \sqrt{{(\frac{350m²}{10m \cdot 4})}^{2} - (\frac{1}{4} \cdot {10m}^{2} \cdot {(\cot (\frac{3.1416}{4}))}^{2})}

7.1807 = \sqrt{{(\frac{350}{10 \cdot 4})}^{2} - (\frac{1}{4} \cdot 10^{2} \cdot {(\cot (\frac{3.1416}{4}))}^{2})}

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Half Height of Regular Bipyramid given Total Surface Area Solution

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

FIRST Step Consider the formula

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})}

Next Step Substitute values of Variables

∴

h Half = \sqrt{{(\frac{350m²}{10m \cdot 4})}^{2} - (\frac{1}{4} \cdot {10m}^{2} \cdot {(\cot (\frac{π}{4}))}^{2})}

Next Step Substitute values of Constants

∴

h Half = \sqrt{{(\frac{350m²}{10m \cdot 4})}^{2} - (\frac{1}{4} \cdot {10m}^{2} \cdot {(\cot (\frac{3.1416}{4}))}^{2})}

Next Step Prepare to Evaluate

∴

h Half = \sqrt{{(\frac{350}{10 \cdot 4})}^{2} - (\frac{1}{4} \cdot 10^{2} \cdot {(\cot (\frac{3.1416}{4}))}^{2})}

Next Step Evaluate

∴

h Half = 7.18070330817254m

LAST Step Rounding Answer

∴

h Half = 7.1807m

Half Height of Regular Bipyramid given Total Surface Area Formula Elements

Variables

Constants

Functions

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

Total Surface Area of Regular Bipyramid

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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

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

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

cot

Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle.

Syntax: cot(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 to find Half Height of Regular Bipyramid

Go Half Height of Regular Bipyramid

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

Other formulas in Edge Length and Height of Regular Bipyramid category

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})}

Go Total Height of Regular Bipyramid given Volume

h Total = \frac{4 \cdot V \cdot \tan (\frac{π}{n})}{\frac{1}{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 Half Height of Regular Bipyramid given Total Surface Area?

Half Height of Regular Bipyramid given Total Surface Area evaluator uses Half Height of Regular Bipyramid = 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)) to evaluate the Half Height of Regular Bipyramid, Half Height of Regular Bipyramid given Total Surface Area formula is defined as the total length of the perpendicular from the apex to the base of any one of the pyramids in the Regular Bipyramid and is calculated using the total surface area of the Regular Bipyramid. Half Height of Regular Bipyramid is denoted by h_Half symbol.

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

FAQs on Half Height of Regular Bipyramid given Total Surface Area

What is the formula to find Half Height of Regular Bipyramid given Total Surface Area?

The formula of Half Height of Regular Bipyramid given Total Surface Area is expressed as Half Height of Regular Bipyramid = 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)). Here is an example- 7.180703 = sqrt((350/(10*4))^2-(1/4*10^2*(cot(pi/4))^2)).

How to calculate Half Height of Regular Bipyramid given Total Surface Area?

With Total Surface Area of Regular Bipyramid (TSA), Edge Length of Base of Regular Bipyramid (l_e(Base)) & Number of Base Vertices of Regular Bipyramid (n) we can find Half Height of Regular Bipyramid given Total Surface Area using the formula - Half Height of Regular Bipyramid = 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)). This formula also uses Archimedes' constant and , Cotangent (cot), Square Root (sqrt) function(s).

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

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

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

Can the Half Height of Regular Bipyramid given Total Surface Area be negative?

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

Which unit is used to measure Half Height of Regular Bipyramid given Total Surface Area?

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

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Half Height of Regular Bipyramid given Total Surface Area Formula

​GoHalf Height of Regular Bipyramid Formula

​GoHalf Height of Regular Bipyramid given Volume Formula

Half Height of Regular Bipyramid given Total Surface Area Example

Half Height of Regular Bipyramid given Total Surface Area Solution

Half Height of Regular Bipyramid given Total Surface Area Formula Elements

Other Formulas to find Half Height of Regular Bipyramid

Other formulas in Edge Length and Height of Regular Bipyramid category

How to Evaluate Half Height of Regular Bipyramid given Total Surface Area?

FAQs on Half Height of Regular Bipyramid given Total Surface Area

Variable Name

GoHalf Height of Regular Bipyramid Formula

GoHalf Height of Regular Bipyramid given Volume Formula