Volume of Regular Bipyramid 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%
✖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%
✖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%

✖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]

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Formula

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Volume of Regular Bipyramid

Formula

`"V" = (2/3*"n"*"h"_{"Half"}*"l"_{"e(Base)"}^2)/(4*tan(pi/"n"))`

Example

`"466.6667m³"=(2/3*"4"*"7m"*("10m")^2)/(4*tan(pi/"4"))`

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Volume of Regular Bipyramid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Regular Bipyramid = (2/3*Number of Base Vertices of Regular Bipyramid*Half Height of Regular Bipyramid*Edge Length of Base of Regular Bipyramid^2)/(4*tan(pi/Number of Base Vertices of Regular Bipyramid))
V = (2/3*n*h_Half*l_e(Base)^2)/(4*tan(pi/n))
This formula uses 1 Constants, 1 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)

Variables Used

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.
Number of Base Vertices of Regular Bipyramid - Number of Base Vertices of Regular Bipyramid are the number of base vertices of a 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.
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.

STEP 1: Convert Input(s) to Base Unit

Number of Base Vertices of Regular Bipyramid: 4 --> No Conversion Required
Half Height of Regular Bipyramid: 7 Meter --> 7 Meter No Conversion Required
Edge Length of Base of Regular Bipyramid: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (2/3*n*h_Half*l_e(Base)^2)/(4*tan(pi/n)) --> (2/3*4*7*10^2)/(4*tan(pi/4))

Evaluating ... ...

V = 466.666666666667

STEP 3: Convert Result to Output's Unit

466.666666666667 Cubic Meter --> No Conversion Required

FINAL ANSWER

466.666666666667 ≈ 466.6667 Cubic Meter <-- Volume of Regular Bipyramid

(Calculation completed in 00.020 seconds)

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Home » Math » Geometry » 3D Geometry » Regular Bipyramid » Volume and Surface to Volume Ratio of Regular Bipyramid » Volume of Regular Bipyramid

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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< 4 Volume and Surface to Volume Ratio of Regular Bipyramid Calculators

Surface to Volume Ratio of Regular Bipyramid given Total Height

Go Surface to Volume Ratio of Regular Bipyramid = (4*tan(pi/Number of Base Vertices 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)))/(1/3*Edge Length of Base of Regular Bipyramid*Total Height of Regular Bipyramid)

Surface to Volume Ratio of Regular Bipyramid

Go Surface to Volume Ratio of Regular Bipyramid = (4*tan(pi/Number of Base Vertices 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)))/(2/3*Edge Length of Base of Regular Bipyramid*Half Height of Regular Bipyramid)

Volume of Regular Bipyramid given Total Height

Go Volume of Regular Bipyramid = (1/3*Number of Base Vertices of Regular Bipyramid*Total Height of Regular Bipyramid*Edge Length of Base of Regular Bipyramid^2)/(4*tan(pi/Number of Base Vertices of Regular Bipyramid))

Volume of Regular Bipyramid

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

Volume of Regular Bipyramid Formula

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 Volume of Regular Bipyramid?

Volume of Regular Bipyramid calculator uses Volume of Regular Bipyramid = (2/3*Number of Base Vertices of Regular Bipyramid*Half Height of Regular Bipyramid*Edge Length of Base of Regular Bipyramid^2)/(4*tan(pi/Number of Base Vertices of Regular Bipyramid)) to calculate the Volume of Regular Bipyramid, Volume of Regular Bipyramid formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Regular Bipyramid. Volume of Regular Bipyramid is denoted by V symbol.

How to calculate Volume of Regular Bipyramid using this online calculator? To use this online calculator for Volume of Regular Bipyramid, enter Number of Base Vertices of Regular Bipyramid (n), Half Height of Regular Bipyramid (h_Half) & Edge Length of Base of Regular Bipyramid (l_e(Base)) and hit the calculate button. Here is how the Volume of Regular Bipyramid calculation can be explained with given input values -> 466.6667 = (2/3*4*7*10^2)/(4*tan(pi/4)).

FAQ

What is Volume of Regular Bipyramid?

Volume of Regular Bipyramid formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Regular Bipyramid and is represented as V = (2/3*n*h_Half*l_e(Base)^2)/(4*tan(pi/n)) or Volume of Regular Bipyramid = (2/3*Number of Base Vertices of Regular Bipyramid*Half Height of Regular Bipyramid*Edge Length of Base of Regular Bipyramid^2)/(4*tan(pi/Number of Base Vertices of Regular Bipyramid)). Number of Base Vertices of Regular Bipyramid are the number of base vertices of a 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 & Edge Length of Base of Regular Bipyramid is the length of the straight line connecting any two adjacent base vertices of the Regular Bipyramid.

How to calculate Volume of Regular Bipyramid?

Volume of Regular Bipyramid formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Regular Bipyramid is calculated using Volume of Regular Bipyramid = (2/3*Number of Base Vertices of Regular Bipyramid*Half Height of Regular Bipyramid*Edge Length of Base of Regular Bipyramid^2)/(4*tan(pi/Number of Base Vertices of Regular Bipyramid)). To calculate Volume of Regular Bipyramid, you need Number of Base Vertices of Regular Bipyramid (n), Half Height of Regular Bipyramid (h_Half) & Edge Length of Base of Regular Bipyramid (l_e(Base)). With our tool, you need to enter the respective value for Number of Base Vertices of Regular Bipyramid, Half Height of Regular Bipyramid & Edge Length of Base 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 Volume of Regular Bipyramid?

In this formula, Volume of Regular Bipyramid uses Number of Base Vertices of Regular Bipyramid, Half Height of Regular Bipyramid & Edge Length of Base of Regular Bipyramid. We can use 1 other way(s) to calculate the same, which is/are as follows -

Volume of Regular Bipyramid = (1/3*Number of Base Vertices of Regular Bipyramid*Total Height of Regular Bipyramid*Edge Length of Base of Regular Bipyramid^2)/(4*tan(pi/Number of Base Vertices of Regular Bipyramid))

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