Total Surface Area of Regular Bipyramid given Volume and Half 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%
✖Volume of Regular Bipyramid is the total quantity of three-dimensional space enclosed by the surface of the Regular Bipyramid.ⓘ Volume of Regular Bipyramid [V]			+10% -10%
✖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.ⓘ Half Height of Regular Bipyramid [h_Half]			+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 Volume and Half Height [TSA]

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
TSA = n*sqrt((4*V*tan(pi/n))/(2/3*n*h_Half))*sqrt(h_Half^2+((V*tan(pi/n))/(2/3*n*h_Half)*(cot(pi/n))^2))
This formula uses 1 Constants, 3 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., 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., 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.
Volume of Regular Bipyramid - (Measured in Cubic Meter) - Volume of Regular Bipyramid is the total quantity of three-dimensional space enclosed by the surface of the Regular Bipyramid.
Half Height of Regular Bipyramid - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Number of Base Vertices of Regular Bipyramid: 4 --> No Conversion Required
Volume of Regular Bipyramid: 450 Cubic Meter --> 450 Cubic Meter No Conversion Required
Half Height of Regular Bipyramid: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = n*sqrt((4*V*tan(pi/n))/(2/3*n*h_Half))*sqrt(h_Half^2+((V*tan(pi/n))/(2/3*n*h_Half)*(cot(pi/n))^2)) --> 4*sqrt((4*450*tan(pi/4))/(2/3*4*7))*sqrt(7^2+((450*tan(pi/4))/(2/3*4*7)*(cot(pi/4))^2))

Evaluating ... ...

TSA = 335.847997687973

STEP 3: Convert Result to Output's Unit

335.847997687973 Square Meter --> No Conversion Required

FINAL ANSWER

335.847997687973 ≈ 335.848 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 Volume and Half Height Formula

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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 Volume and Half Height?

Total Surface Area of Regular Bipyramid given Volume and Half Height calculator uses 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)) to calculate the Total Surface Area of Regular Bipyramid, Total Surface Area of Regular Bipyramid given Volume and Half 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 volume and half 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 Volume and Half Height using this online calculator? To use this online calculator for Total Surface Area of Regular Bipyramid given Volume and Half Height, enter Number of Base Vertices of Regular Bipyramid (n), Volume of Regular Bipyramid (V) & Half Height of Regular Bipyramid (h_Half) and hit the calculate button. Here is how the Total Surface Area of Regular Bipyramid given Volume and Half Height calculation can be explained with given input values -> 335.848 = 4*sqrt((4*450*tan(pi/4))/(2/3*4*7))*sqrt(7^2+((450*tan(pi/4))/(2/3*4*7)*(cot(pi/4))^2)).

FAQ

What is Total Surface Area of Regular Bipyramid given Volume and Half Height?

Total Surface Area of Regular Bipyramid given Volume and Half 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 volume and half height of the Regular Bipyramid and is represented as TSA = n*sqrt((4*V*tan(pi/n))/(2/3*n*h_Half))*sqrt(h_Half^2+((V*tan(pi/n))/(2/3*n*h_Half)*(cot(pi/n))^2)) or 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)). Number of Base Vertices of Regular Bipyramid are the number of base vertices of a Regular Bipyramid, Volume of Regular Bipyramid is the total quantity of three-dimensional space enclosed by the surface of the 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.

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

Total Surface Area of Regular Bipyramid given Volume and Half 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 volume and half height of the Regular Bipyramid is calculated using 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)). To calculate Total Surface Area of Regular Bipyramid given Volume and Half Height, you need Number of Base Vertices of Regular Bipyramid (n), Volume of Regular Bipyramid (V) & Half Height of Regular Bipyramid (h_Half). With our tool, you need to enter the respective value for Number of Base Vertices of Regular Bipyramid, Volume of Regular Bipyramid & Half 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, Volume of Regular Bipyramid & Half 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*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))

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