Total Surface Area of Regular Bipyramid given Total Height Calculator

✖Number of Base Vertices of Regular Bipyramid are the number of base vertices of a Regular Bipyramid.ⓘ Number of Base Vertices of Regular Bipyramid [n]			+10% -10%
✖Edge Length of Base of Regular Bipyramid is the length of the straight line connecting any two adjacent base vertices of the Regular Bipyramid.ⓘ Edge Length of Base of Regular Bipyramid [l_e(Base)]			+10% -10%
✖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.ⓘ Total Height of Regular Bipyramid [h_Total]			+10% -10%

✖Total Surface Area of Regular Bipyramid is the total amount of two-dimensional space occupied by all the faces of the Regular Bipyramid.ⓘ Total Surface Area of Regular Bipyramid given Total Height [TSA]

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Total Surface Area of Regular Bipyramid given Total Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
TSA = n*l_e(Base)*sqrt((h_Total/2)^2+(1/4*l_e(Base)^2*(cot(pi/n))^2))
This formula uses 1 Constants, 2 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., 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., sqrt(Number)

Variables Used

Total Surface Area of Regular Bipyramid - (Measured in Square Meter) - Total Surface Area of Regular Bipyramid is the total amount of two-dimensional space occupied by all the faces of the 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.
Edge Length of Base of Regular Bipyramid - (Measured in Meter) - Edge Length of Base of Regular Bipyramid is the length of the straight line connecting any two adjacent base vertices of the Regular Bipyramid.
Total Height of Regular Bipyramid - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Number of Base Vertices of Regular Bipyramid: 4 --> No Conversion Required
Edge Length of Base of Regular Bipyramid: 10 Meter --> 10 Meter No Conversion Required
Total Height of Regular Bipyramid: 14 Meter --> 14 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = n*l_e(Base)*sqrt((h_Total/2)^2+(1/4*l_e(Base)^2*(cot(pi/n))^2)) --> 4*10*sqrt((14/2)^2+(1/4*10^2*(cot(pi/4))^2))

Evaluating ... ...

TSA = 344.093010681705

STEP 3: Convert Result to Output's Unit

344.093010681705 Square Meter --> No Conversion Required

FINAL ANSWER

344.093010681705 ≈ 344.093 Square Meter <-- Total Surface Area of Regular Bipyramid

(Calculation completed in 00.004 seconds)

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< Surface Area of Regular Bipyramid Calculators

Total Surface Area of Regular Bipyramid given Volume and Half Height

LaTeX Go 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 given Volume

LaTeX Go 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 given Total Height

LaTeX Go 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))

Total Surface Area of Regular Bipyramid

LaTeX Go 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 given Total Height Formula

LaTeX Go

What is a Regular Bipyramid?

A Regular Bipyramid is a regular pyramid with its mirror image attached at its base. It is made of two N-gon-based pyramids that are stuck together at their bases. It consists of 2N faces which are all isosceles triangles. Also, It has 3N edges and N+2 vertices.

How to Calculate Total Surface Area of Regular Bipyramid given Total Height?

Total Surface Area of Regular Bipyramid given Total Height calculator uses 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)) to calculate the Total Surface Area of Regular Bipyramid, Total Surface Area of Regular Bipyramid given Total Height 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 total height of the Regular Bipyramid. Total Surface Area of Regular Bipyramid is denoted by TSA symbol.

How to calculate Total Surface Area of Regular Bipyramid given Total Height using this online calculator? To use this online calculator for Total Surface Area of Regular Bipyramid given Total Height, enter Number of Base Vertices of Regular Bipyramid (n), Edge Length of Base of Regular Bipyramid (l_e(Base)) & Total Height of Regular Bipyramid (h_Total) and hit the calculate button. Here is how the Total Surface Area of Regular Bipyramid given Total Height calculation can be explained with given input values -> 344.093 = 4*10*sqrt((14/2)^2+(1/4*10^2*(cot(pi/4))^2)).

FAQ

What is Total Surface Area of Regular Bipyramid given Total Height?

Total Surface Area of Regular Bipyramid given Total Height 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 total height of the Regular Bipyramid and is represented as TSA = n*l_e(Base)*sqrt((h_Total/2)^2+(1/4*l_e(Base)^2*(cot(pi/n))^2)) or 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)). Number of Base Vertices of Regular Bipyramid are the number of base vertices of a 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 & 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.

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

Total Surface Area of Regular Bipyramid given Total Height 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 total height of the Regular Bipyramid is calculated using 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)). To calculate Total Surface Area of Regular Bipyramid given Total Height, you need Number of Base Vertices of Regular Bipyramid (n), Edge Length of Base of Regular Bipyramid (l_e(Base)) & Total Height of Regular Bipyramid (h_Total). With our tool, you need to enter the respective value for Number of Base Vertices of Regular Bipyramid, Edge Length of Base of Regular Bipyramid & Total Height of Regular Bipyramid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Total Surface Area of Regular Bipyramid?

In this formula, Total Surface Area of Regular Bipyramid uses Number of Base Vertices of Regular Bipyramid, Edge Length of Base of Regular Bipyramid & Total Height of Regular Bipyramid. We can use 3 other way(s) to calculate the same, which is/are as follows -

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(((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))

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