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Total Surface Area of Regular Bipyramid given Volume Formula

GoTotal Surface Area of Regular Bipyramid Formula

GoTotal Surface Area of Regular Bipyramid given Volume and Half Height 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{{(\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})}

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?V - Volume of Regular Bipyramid?π - Archimedes' constant?

Total Surface Area of Regular Bipyramid given Volume Example

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

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

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

336.006 = 4 \cdot 10 \cdot \sqrt{{(\frac{4 \cdot 450 \cdot \tan (\frac{3.1416}{4})}{\frac{2}{3} \cdot 4 \cdot 10^{2}})}^{2} + (\frac{1}{4} \cdot 10^{2} \cdot {(\cot (\frac{3.1416}{4}))}^{2})}

336.006m² = 4 \cdot 10m \cdot \sqrt{{(\frac{4 \cdot 450m³ \cdot \tan (\frac{3.1416}{4})}{\frac{2}{3} \cdot 4 \cdot {10m}^{2}})}^{2} + (\frac{1}{4} \cdot {10m}^{2} \cdot {(\cot (\frac{3.1416}{4}))}^{2})}

336.006 = 4 \cdot 10 \cdot \sqrt{{(\frac{4 \cdot 450 \cdot \tan (\frac{3.1416}{4})}{\frac{2}{3} \cdot 4 \cdot 10^{2}})}^{2} + (\frac{1}{4} \cdot 10^{2} \cdot {(\cot (\frac{3.1416}{4}))}^{2})}

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Total Surface Area of Regular Bipyramid given Volume Solution

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

FIRST Step Consider the formula

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})}

Next Step Substitute values of Variables

∴

TSA = 4 \cdot 10m \cdot \sqrt{{(\frac{4 \cdot 450m³ \cdot \tan (\frac{π}{4})}{\frac{2}{3} \cdot 4 \cdot {10m}^{2}})}^{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{{(\frac{4 \cdot 450m³ \cdot \tan (\frac{3.1416}{4})}{\frac{2}{3} \cdot 4 \cdot {10m}^{2}})}^{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{{(\frac{4 \cdot 450 \cdot \tan (\frac{3.1416}{4})}{\frac{2}{3} \cdot 4 \cdot 10^{2}})}^{2} + (\frac{1}{4} \cdot 10^{2} \cdot {(\cot (\frac{3.1416}{4}))}^{2})}

Next Step Evaluate

∴

TSA = 336.005952328229m²

LAST Step Rounding Answer

∴

TSA = 336.006m²

Total Surface Area of Regular Bipyramid given Volume 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

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

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)

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

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})}

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 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 given Volume?

Total Surface Area of Regular Bipyramid given Volume evaluator uses 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)) to evaluate the Total Surface Area of Regular Bipyramid, Total Surface Area of Regular Bipyramid given Volume formula is defined as the total amount of two-dimensional space occupied by all the faces of the Regular Bipyramid and is calculated using the volume of the Regular Bipyramid. Total Surface Area of Regular Bipyramid is denoted by TSA symbol.

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

FAQs on Total Surface Area of Regular Bipyramid given Volume

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

The formula of Total Surface Area of Regular Bipyramid given Volume is expressed as 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)). Here is an example- 336.006 = 4*10*sqrt(((4*450*tan(pi/4))/(2/3*4*10^2))^2+(1/4*10^2*(cot(pi/4))^2)).

How to calculate Total Surface Area of Regular Bipyramid given Volume?

With Number of Base Vertices of Regular Bipyramid (n), Edge Length of Base of Regular Bipyramid (l_e(Base)) & Volume of Regular Bipyramid (V) we can find Total Surface Area of Regular Bipyramid given Volume using the formula - 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)). This formula also uses Archimedes' constant and , Tangent (tan), 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*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))
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((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 given Volume be negative?

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

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

Total Surface Area of Regular Bipyramid given Volume 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 given Volume can be measured.

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Total Surface Area of Regular Bipyramid given Volume Formula

​GoTotal Surface Area of Regular Bipyramid Formula

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

Total Surface Area of Regular Bipyramid given Volume Example

Total Surface Area of Regular Bipyramid given Volume Solution

Total Surface Area of Regular Bipyramid given Volume Formula Elements

Other Formulas to find Total Surface Area of Regular Bipyramid

How to Evaluate Total Surface Area of Regular Bipyramid given Volume?

FAQs on Total Surface Area of Regular Bipyramid given Volume

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GoTotal Surface Area of Regular Bipyramid Formula

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