Half Height of Regular Bipyramid given Volume Calculator

✖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%
✖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%

✖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 given Volume [h_Half]

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Half Height of Regular Bipyramid given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Half Height of Regular Bipyramid = (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)
h_Half = (4*V*tan(pi/n))/(2/3*n*l_e(Base)^2)
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

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.
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.
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

Volume of Regular Bipyramid: 450 Cubic Meter --> 450 Cubic Meter No Conversion Required
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_Half = (4*V*tan(pi/n))/(2/3*n*l_e(Base)^2) --> (4*450*tan(pi/4))/(2/3*4*10^2)

Evaluating ... ...

h_Half = 6.75

STEP 3: Convert Result to Output's Unit

6.75 Meter --> No Conversion Required

FINAL ANSWER

6.75 Meter <-- Half Height of Regular Bipyramid

(Calculation completed in 00.020 seconds)

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< Edge Length and Height of Regular Bipyramid Calculators

Half Height of Regular Bipyramid given Total Surface Area

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

Half Height of Regular Bipyramid given Volume

LaTeX Go Half Height of Regular Bipyramid = (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)

Total Height of Regular Bipyramid

LaTeX Go Total Height of Regular Bipyramid = 2*Half Height of Regular Bipyramid

Half Height of Regular Bipyramid

LaTeX Go Half Height of Regular Bipyramid = Total Height of Regular Bipyramid/2

Half Height of Regular Bipyramid given Volume 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 Half Height of Regular Bipyramid given Volume?

Half Height of Regular Bipyramid given Volume calculator uses Half Height of Regular Bipyramid = (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) to calculate the Half Height of Regular Bipyramid, Half Height of Regular Bipyramid given Volume formula is defined as the total length of the perpendicular from the apex to the base of any one of the pyramids in the Regular Bipyramid and is calculated using the volume of the Regular Bipyramid. Half Height of Regular Bipyramid is denoted by h_Half symbol.

How to calculate Half Height of Regular Bipyramid given Volume using this online calculator? To use this online calculator for Half Height of Regular Bipyramid given Volume, enter Volume of Regular Bipyramid (V), Number of Base Vertices of Regular Bipyramid (n) & Edge Length of Base of Regular Bipyramid (l_e(Base)) and hit the calculate button. Here is how the Half Height of Regular Bipyramid given Volume calculation can be explained with given input values -> 6.75 = (4*450*tan(pi/4))/(2/3*4*10^2).

FAQ

What is Half Height of Regular Bipyramid given Volume?

Half Height of Regular Bipyramid given Volume formula is defined as the total length of the perpendicular from the apex to the base of any one of the pyramids in the Regular Bipyramid and is calculated using the volume of the Regular Bipyramid and is represented as h_Half = (4*V*tan(pi/n))/(2/3*n*l_e(Base)^2) or Half Height of Regular Bipyramid = (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). 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 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.

How to calculate Half Height of Regular Bipyramid given Volume?

Half Height of Regular Bipyramid given Volume formula is defined as the total length of the perpendicular from the apex to the base of any one of the pyramids in the Regular Bipyramid and is calculated using the volume of the Regular Bipyramid is calculated using Half Height of Regular Bipyramid = (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). To calculate Half Height of Regular Bipyramid given Volume, you need Volume of Regular Bipyramid (V), Number of Base Vertices of Regular Bipyramid (n) & Edge Length of Base of Regular Bipyramid (l_e(Base)). With our tool, you need to enter the respective value for Volume of Regular Bipyramid, Number of Base Vertices 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 Half Height of Regular Bipyramid?

In this formula, Half Height of Regular Bipyramid uses Volume of Regular Bipyramid, Number of Base Vertices of Regular Bipyramid & Edge Length of Base of Regular Bipyramid. We can use 2 other way(s) to calculate the same, which is/are as follows -

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