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Total Surface Area of Regular Bipyramid Formula

GoTotal Surface Area of Regular Bipyramid given Volume and Half Height Formula

GoTotal Surface Area of Regular Bipyramid given Volume Formula

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

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

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

Total Surface Area of Regular Bipyramid Example

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

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

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

344.093 = 4 \cdot 10 \cdot \sqrt{7^{2} + (\frac{1}{4} \cdot 10^{2} \cdot {(\cot (\frac{3.1416}{4}))}^{2})}

344.093m² = 4 \cdot 10m \cdot \sqrt{{7m}^{2} + (\frac{1}{4} \cdot {10m}^{2} \cdot {(\cot (\frac{3.1416}{4}))}^{2})}

344.093 = 4 \cdot 10 \cdot \sqrt{7^{2} + (\frac{1}{4} \cdot 10^{2} \cdot {(\cot (\frac{3.1416}{4}))}^{2})}

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Total Surface Area of Regular Bipyramid Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = 4 \cdot 10m \cdot \sqrt{{7m}^{2} + (\frac{1}{4} \cdot {10m}^{2} \cdot {(\cot (\frac{π}{4}))}^{2})}

Next Step Substitute values of Constants

∴

TSA = 4 \cdot 10m \cdot \sqrt{{7m}^{2} + (\frac{1}{4} \cdot {10m}^{2} \cdot {(\cot (\frac{3.1416}{4}))}^{2})}

Next Step Prepare to Evaluate

∴

TSA = 4 \cdot 10 \cdot \sqrt{7^{2} + (\frac{1}{4} \cdot 10^{2} \cdot {(\cot (\frac{3.1416}{4}))}^{2})}

Next Step Evaluate

∴

TSA = 344.093010681705m²

LAST Step Rounding Answer

∴

TSA = 344.093m²

Total Surface Area of Regular Bipyramid Formula Elements

Variables

Constants

Functions

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

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

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

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 Total Surface Area of Regular Bipyramid

Go Total Surface Area of Regular Bipyramid given Volume and Half Height

TSA = n \cdot \sqrt{\frac{4 \cdot V \cdot \tan (\frac{π}{n})}{\frac{2}{3} \cdot n \cdot h Half}} \cdot \sqrt{{h Half}^{2} + (\frac{V \cdot \tan (\frac{π}{n})}{\frac{2}{3} \cdot n \cdot h Half} \cdot {(\cot (\frac{π}{n}))}^{2})}

Go Total Surface Area of Regular Bipyramid given Volume

TSA = n \cdot l e(Base) \cdot \sqrt{{(\frac{4 \cdot V \cdot \tan (\frac{π}{n})}{\frac{2}{3} \cdot n \cdot {l e(Base)}^{2}})}^{2} + (\frac{1}{4} \cdot {l e(Base)}^{2} \cdot {(\cot (\frac{π}{n}))}^{2})}

Go Total Surface Area of Regular Bipyramid given Total Height

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

How to Evaluate Total Surface Area of Regular Bipyramid?

Total Surface Area of Regular Bipyramid evaluator uses Total Surface Area of Regular Bipyramid = Number of Base Vertices of Regular Bipyramid*Edge Length of Base of Regular Bipyramid*sqrt(Half Height 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 Total Surface Area of Regular Bipyramid, Total Surface Area of Regular Bipyramid formula is defined as the total amount of two-dimensional space occupied by all the faces of the Regular Bipyramid. Total Surface Area of Regular Bipyramid is denoted by TSA symbol.

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

FAQs on Total Surface Area of Regular Bipyramid

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

The formula of Total Surface Area of Regular Bipyramid is expressed as Total Surface Area of Regular Bipyramid = Number of Base Vertices of Regular Bipyramid*Edge Length of Base of Regular Bipyramid*sqrt(Half Height 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- 344.093 = 4*10*sqrt(7^2+(1/4*10^2*(cot(pi/4))^2)).

How to calculate Total Surface Area of Regular Bipyramid?

With Number of Base Vertices of Regular Bipyramid (n), Edge Length of Base of Regular Bipyramid (l_e(Base)) & Half Height of Regular Bipyramid (h_Half) we can find Total Surface Area of Regular Bipyramid using the formula - Total Surface Area of Regular Bipyramid = Number of Base Vertices of Regular Bipyramid*Edge Length of Base of Regular Bipyramid*sqrt(Half Height 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 Total Surface Area of Regular Bipyramid?

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

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

Can the Total Surface Area of Regular Bipyramid be negative?

No, the Total Surface Area of Regular Bipyramid, measured in Area cannot be negative.

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

Total Surface Area of Regular Bipyramid is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Total Surface Area of Regular Bipyramid can be measured.

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Total Surface Area of Regular Bipyramid Formula

​GoTotal Surface Area of Regular Bipyramid given Volume and Half Height Formula

​GoTotal Surface Area of Regular Bipyramid given Volume Formula

Total Surface Area of Regular Bipyramid Example

Total Surface Area of Regular Bipyramid Solution

Total Surface Area of Regular Bipyramid Formula Elements

Other Formulas to find Total Surface Area of Regular Bipyramid

How to Evaluate Total Surface Area of Regular Bipyramid?

FAQs on Total Surface Area of Regular Bipyramid

Variable Name

GoTotal Surface Area of Regular Bipyramid given Volume and Half Height Formula

GoTotal Surface Area of Regular Bipyramid given Volume Formula